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How to Do Long Division

Last Updated: November 29, 2023 Fact Checked

This article was reviewed by Grace Imson, MA . Grace Imson is a math teacher with over 40 years of teaching experience. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. She has taught math at the elementary, middle, high school, and college levels. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University. There are 9 references cited in this article, which can be found at the bottom of the page. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. This article has been viewed 3,855,254 times.

A part of basic arithmetic, long division is a method of solving and finding the answer and remainder for division problems that involve numbers with at least two digits. Learning the basic steps of long division will allow you to divide numbers of any length, including both integers (positive,negative and zero) and decimals . This process is an easy one to learn, and the ability to do long division will help you sharpen and have more understanding of mathematics in ways that will be beneficial both in school and in other parts of your life. [1] X Research source

Step 1 Set up the equation.

  • The quotient (answer) will eventually go on top, right above the dividend.
  • Leave yourself plenty of space below the equation to carry out multiple subtraction operations.
  • Here's an example: if there are six mushrooms in a 250-gram pack, how much does each mushroom weigh on average? In this case, we must divide 250 by 6. The 6 goes on the outside, and the 250 on the inside.

Step 2 Divide the first digit.

  • In our example, you'd want to determine how many times 6 goes into 2. Since six is larger than two, the answer is zero. If you wish, may write a 0 directly above the 2 as a place-holder, and erase it later. Alternatively, you can leave that space blank and move on to the next step.

Step 3 Divide the first...

  • If your answer to the previous step was 0, as in the example, expand the number by one digit. In this case, we'd ask how many times 6 can go into 25.
  • If your divisor has more than two digits, you'll have to expand out even further, to the third or maybe even fourth digit of the dividend in order to get a number that the divisor goes into.
  • Work in terms of whole numbers . If you use a calculator , you'll discover that 6 goes into 25 a total of 4.167 times. In long division, you always round down to the nearest whole number, so in this case, our answer would be 4.

Step 4 Enter the first digit of the quotient.

  • It is important in long division to make sure the columns of numbers remain correctly aligned. Work carefully, otherwise you may make an error that leads you to the wrong answer.
  • In the example, you would place a 4 above the 5, since we're putting 6 into 25.

Multiplying

Step 1 Multiply...

  • In the example, 6 times 4 is 24. After you've written a 4 in the quotient, write the number 24 beneath the 25, again being careful to keep the numbers aligned.

Step 3 Draw a line.

Subtracting

Step 1 Subtract...

  • In the example, we'll subtract 24 from 25, getting 1.
  • Do not subtract from the complete dividend, but only those digits you worked with in Parts One and Two. In the example, you should not subtract 24 from 250.

Step 2 Bring down the next digit.

  • In the example, because 6 can't go into 1 without exceeding it, you need to bring down another digit. In this case, you'll grab the 0 from 250 and place it after the 1, making it 10, which 6 can go into.

Step 3 Repeat the whole process.

  • In the example, determine how many times 6 can go into 10. Write that number (1) into the quotient above the dividend. Then multiply 6 by 1, and subtract the result from 10. You should end up with 4.
  • If your dividend has more than three digits, keep repeating this process until you've worked through all of them. For example, if we we had started with 2,506 grams (88.4 oz) of mushrooms, we'd pull the 6 down next and place it next to the four.

Remainders and Decimals

Step 1 Record the remainder.

  • In the example, the remainder would be 4, because 6 cannot go into four, and there are no more digits to bring down.
  • Place your remainder after the quotient with a letter "r" before it. In the example, the answer would be expressed as "41 r4."
  • You would stop here if you were trying to calculate something that would not make sense to express in partial units , for example, if you were trying to determine how many cars were needed to move a certain number of people. In a case such as this, it would not be useful think about things in terms of partial cars or partial people.
  • If you plan to calculate a decimal, you can skip this step.

Step 2 Add a decimal point.

  • In the example, since 250 is a whole number, every digit after the decimal will be 0, making it 250.000.

Step 3 Keep repeating.

  • In the example, determine how many times 6 can go into 40. Add that number (6) to the quotient above the dividend and after the decimal point. Then multiply 6 by 6, and subtract the result from 40. You should end up with 4 again.

Step 4 Stop and round.

  • In the example, you could keep getting 4 out of 40-36 forever, and add 6's to your quotient indefinitely. Instead of doing this, stop the problem and round the quotient. Because 6 is greater than (or equal to) 5, you would round up to 41.67.
  • Alternatively, you can indicate a repeating decimal by placing a small horizontal line over the repeating digit. In the example, this would make the quotient 41.6, with a line over the 6. [15] X Research source

Step 5 Add the unit back to your answer.

  • If you added a zero as a place-holder at the beginning, you should erase that now as well.
  • In the example, because you asked how much each mushroom in a 250-gram pack of 6 weighs, you'll need to put your answer into grams. Therefore, your final answer is 41.67 grams.

Practice Problems and Answers

division problems how to

Community Q&A

wikiHow Staff Editor

  • If you have time, it's a good idea to do calculations on paper first, then check with a calculator or computer. Remember that machines sometimes get the answers wrong for various reasons. If there is an error, you can do a third check using logarithms . Doing division by hand rather than relying on machines is good for your mathematical skills and conceptual understanding. [16] X Research source Thanks Helpful 2 Not Helpful 0
  • Start by using simple calculations. This will give you the confidence and develop the necessary skills to move to more advanced ones. Thanks Helpful 11 Not Helpful 7
  • Look for practical examples from everyday life. This will help learn the process because you can see how it is useful in the real world. Thanks Helpful 1 Not Helpful 1

Tips from our Readers

  • To remember the steps, use the mnemonic "Does McDonalds Sell Cheese Burgers Rare?" The D stands for "divide", M for "multiply", S for "subtract", C for "check" your work, B for "bring down" more digits, and R for "repeat" the whole process if needed. This little memory device covers all the key parts of long division.
  • Be sure you have multiplication facts mastered before attempting long division. It will be painfully slow if you must stop to figure out what 7 x 7 is each time. Quick recall of times tables is essential. Consider practicing flash cards or math games to improve.
  • To divide any number by a power of 10, simply move the decimal point leftward by the exponent on the 10. For example, to divide 20 by 1000 (which is 10^3), think "what times 20 equals 1000?" and move the decimal in 20 three places left to get 0.02.
  • Long division works very similarly to dividing fractions. Set up the equation just like a fraction, with the number being divided (dividend) on top and divisor on bottom. Then divide the numerator by denominator using the long division process.
  • Don't worry if you make mistakes at first! Long division takes practice. Check each step carefully as you work problems. Over time, you will get faster and more confident. Be patient with yourself and celebrate small successes along the way.

division problems how to

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Divide Logarithms

  • ↑ https://www.csun.edu/~vcmth00m/longdivision.pdf
  • ↑ https://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut36_longdiv.htm
  • ↑ https://www.calculatorsoup.com/calculators/math/longdivision.php
  • ↑ https://www.mathsisfun.com/long_division.html
  • ↑ https://www.bbc.co.uk/bitesize/guides/z3kmpbk/revision/4
  • ↑ https://flexbooks.ck12.org/cbook/ck-12-fifth-grade-math-resource-flexlet/section/1.1/primary/lesson/long-division-without-remainders/
  • ↑ https://www.mathsisfun.com/long_division2.html
  • ↑ https://www.calculatorsoup.com/calculators/math/longdivisiondecimals.php
  • ↑ https://www.mathsisfun.com/definitions/recurring-decimal.html

About This Article

Grace Imson, MA

To do long division, follow these seven steps: Step 1. Calculate how many times the number outside the division bar goes into the first number inside the bar. Step 2. Put the answer on top of the bar. Step 3. Multiply the number outside the division bar by the number at the top of the bar. Step 4. Write the answer below the number inside the division bar, so the first digits of both numbers are lined up. Step 5. Subtract the two numbers inside the division bar and write the answer below the two numbers. If there are any remaining digits inside the division bar, bring them down to the new answer. Step 6. Repeat the division process with the new number. Step 7: If you get to a point where the number outside the division bar can’t fit into the remaining number, write that number, also known as the remainder, next to your answer with an “r” in front of it. Did this summary help you? Yes No

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Division Worksheets

Welcome to the division worksheets page at Math-Drills.com! Please give us your undivided attention while we introduce this page. Our worksheets for division help you to teach students the very important concept of division. If students have a good recall of multiplication facts, the division facts should be a breeze to teach. If you want your students to experience success in learning division, please make sure they know their multiplication facts to 81, how to multiply by 0 and how to multiply by 10. If they don't know these things, learning division will take a lot longer.

On this page you will find many Division Worksheets including division facts and long division with and without remainders. We start off with some division facts which are just the multiplication facts expressed in a different way. The main difference is that you can't divide by 0 and get a real number. If you really want your students to impress, say at their dinner table when their parents ask them what they learned today, you can teach them that division by zero is undefined.

The rest of the page is devoted to long division which for some reason is disliked among some members of the population. Long division is most difficult when students don't know their multiplication facts, so make sure they know them first! Oh, we already said that. What about a long division algorithm... maybe the one you or your parents or your grandparents learned? We adamantly say, yes! The reason that you and your ancestors used it is because it is an efficient and beautiful algorithm that will allow you to solve some of the most difficult division problems that even base ten blocks couldn't touch. It works equally well for decimals and whole numbers. Long division really isn't that hard.

Most Popular Division Worksheets this Week

3-Digit by 1-Digit Long Division with Remainders and Steps Shown on Answer Key

Division Facts Tables

division problems how to

Like their counterparts on the multiplication facts page, these division facts tables can be used in a variety of ways to help students learn division facts. Students can memorize, look for patterns in the tables, compare them to multiplication tables, write answers on the versions with the answers omitted, or a variety of other learning activities. The tables come in gray, color and Montessori color depending on what fits you and your printer or school the best. For those that have already mastered the facts up to 12, they might be challenged to try the 13 to 24 versions.

  • Division Facts Tables for Facts from 1 to 12 Division Facts Tables in Gray 1 to 12 Division Facts Tables in Gray 1 to 12 (Answers Omitted) Division Facts Tables in Color 1 to 12 Division Facts Tables in Color 1 to 12 (Answers Omitted) Division Facts Tables in Color 1 to 12 with Individual Facts Highlighted Division Facts Tables in Montessori Colors 1 to 12 Division Facts Tables in Montessori Colors 1 to 12 (Answers Omitted)
  • Division Facts Tables for Facts from 13 to 24 Division Facts Tables in Gray 13 to 24 Division Facts Tables in Gray 13 to 24 (Answers Omitted) Division Facts Tables in Color 13 to 24 Division Facts Tables in Color 13 to 24 (Answers Omitted)

Division Facts up to the 7 Times Table

division problems how to

If your students aren't quite ready for all of the division facts at once, this might be a good place to start. Perhaps they are really good at the multiplying up to 5; there is a worksheet to help them practice, and when they are ready, they can include 6 then 7. This section includes vertical questions with the traditional division symbol (aka bracket) and some arranged with a division symbol like you might see addition, subtraction or multiplication arranged.

  • Division Facts up to the 7 Times Table with a Long Division Symbol Vertical Division Facts Up To The 5 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To The 6 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To The 7 Times Table With Long Division Symbol/Bracket (50 per page) ✎
  • Division Facts up to the 7 Times Table with a Division Sign Vertical Division Facts Dividends to 25 With Division Sign Vertical Division Facts Dividends to 36 With Division Sign Vertical Division Facts Dividends to 49 With Division Sign

More worksheets with division facts up to 7, but these ones are arranged horizontally. This is a more natural arrangement for students who are used to reading things from left to right, allows them to practice recalling the answers and it is possible to fit 100 of these questions on the page without it getting too cluttered. If clutter is a problem though, there are also 50 and 25 question options.

  • Horizontally Arranged Division Facts up to the 5 Times Table Horizontally Arranged Division Facts with Dividends to 25 ( 100 Questions) ✎ Horizontally Arranged Division Facts with Dividends to 25 ( 50 Questions ) ✎ Horizontally Arranged Division Facts with Dividends to 25 ( 25 Questions ; Large Print) ✎
  • Horizontally Arranged Division Facts up to the 6 Times Table Horizontally Arranged Division Facts with Dividends to 36 ( 100 Questions) ✎ Horizontally Arranged Division Facts with Dividends to 36 ( 50 Questions ) ✎ Horizontally Arranged Division Facts with Dividends to 36 ( 25 Questions ; Large Print) ✎
  • Horizontally Arranged Division Facts up to the 7 Times Table Horizontally Arranged Division Facts with Dividends to 49 ( 100 Questions) ✎ Horizontally Arranged Division Facts with Dividends to 49 ( 50 Questions ) ✎ Horizontally Arranged Division Facts with Dividends to 49 ( 25 Questions ; Large Print) ✎

Some students require chunking and more practice before they can handle the more complex pages with many different divisors. Here the worksheets only contain one divisor and there are several repetitions of the set on each page.

  • Dividing by Individual Facts up to the 7 Times Table Vertically Arranged Dividing by 1 with Quotients 1 to 7 ( 50 Questions ) ✎ Vertically Arranged Dividing by 2 with Quotients 1 to 7 ( 50 Questions ) ✎ Vertically Arranged Dividing by 3 with Quotients 1 to 7 ( 50 Questions ) ✎ Vertically Arranged Dividing by 4 with Quotients 1 to 7 ( 50 Questions ) ✎ Vertically Arranged Dividing by 5 with Quotients 1 to 7 ( 50 Questions ) ✎ Vertically Arranged Dividing by 6 with Quotients 1 to 7 ( 50 Questions ) ✎ Vertically Arranged Dividing by 7 with Quotients 1 to 7 ( 50 Questions ) ✎
  • Dividing by Groups of Individual Facts up to the 7 Times Table Vertically Arranged Dividing by 1, 2 and 5 with Quotients 1 to 7 ( 50 Questions ) ✎ Vertically Arranged Dividing by 3, 4 and 6 with Quotients 1 to 7 ( 50 Questions ) ✎

More individual division facts worksheets but with a horizontal arrangement. This section includes 50 and 25 question options with each set repeated on the page.

  • Horizontally Arranged Dividing by Individual Facts up to the 7 Times Table (50 Questions per Page) Horizontally Arranged Dividing by 1 with Quotients 1 to 7 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 7 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 7 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 7 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 7 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 7 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 7 ( 50 Questions ) ✎
  • Horizontally Arranged Dividing by Individual Facts up to the 7 Times Table (25 Large Print Questions per Page) Horizontally Arranged Dividing by 1 with Quotients 1 to 7 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 7 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 7 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 7 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 7 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 7 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 7 ( 25 Questions ; Large Print) ✎

Division Facts up to the 9 Times Table

division problems how to

Manipulatives can help students "get" the concept of division. For example, students could regroup base ten blocks into units, then divide the units into piles. For the question 81 ÷ 9, students would start with eight ten blocks and one unit block. They would trade in the ten blocks for unit blocks and try to distribute all 81 of the unit blocks into nine piles. If they did it correctly, they would end up with 9 piles of 9 units and could say that 81 ÷ 9 = 9 as there are 9 units in each pile.

  • Division Facts up to the 9 Times Table With a Long Division Symbol Vertical Division Facts Up To The 8 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To The 9 Times Table With Long Division Symbol/Bracket (50 per page) ✎
  • Division Facts up to the 9 Times Table with a Division Sign Vertical Division Facts Dividends to 64 With Division Sign Vertical Division Facts Dividends to 81 With Division Sign Large Print Vertical Division Facts Dividends to 81 With Division Sign

If students learn up to the 9 times table and can do all the related division, they are likely to do well in later math studies. Long multiplication and long division, algebra, and many other math topics rely on students knowing these facts. Division facts worksheets up to the nine times tables can be used for students to practice, as a diagnostic test to see what gaps exist, or as a mastery test before moving on to the next topic. This section includes horizontally arranged questions which allows for a 100 per page option. Worksheets up to the 8 times table are also included to ensure a continual flow with the rest of this page, say, if you were adding one number at a time.

  • Horizontally Arranged Division Facts up to the 8 Times Table Horizontally Arranged Division Facts with Dividends to 64 ( 100 Questions) ✎ Horizontally Arranged Division Facts with Dividends to 64 ( 50 Questions ) ✎ Horizontally Arranged Division Facts with Dividends to 64 ( 25 Questions ; Large Print) ✎
  • Horizontally Arranged Division Facts up to the 9 Times Table Horizontally Arranged Division Facts with Dividends to 81 ( 100 Questions) ✎ Horizontally Arranged Division Facts with Dividends to 81 ( 50 Questions ) ✎ Horizontally Arranged Division Facts with Dividends to 81 ( 25 Questions ; Large Print) ✎

More individual facts where a single number is used as the divisor throughout the entire worksheet. The quotients end up being in the range 1 to 9. These are great for students that need more practice on one or more divisors. This might be identified using a diagnostic test of a worksheet that includes all the division facts. If students consistently get questions wrong with a certain divisor, these worksheets might help them.

  • Dividing by Individual Facts up to the 9 Times Table Vertically Arranged Dividing by 1 with Quotients 1 to 9 ( 50 Questions ) ✎ Vertically Arranged Dividing by 2 with Quotients 1 to 9 ( 50 Questions ) ✎ Vertically Arranged Dividing by 3 with Quotients 1 to 9 ( 50 Questions ) ✎ Vertically Arranged Dividing by 4 with Quotients 1 to 9 ( 50 Questions ) ✎ Vertically Arranged Dividing by 5 with Quotients 1 to 9 ( 50 Questions ) ✎ Vertically Arranged Dividing by 6 with Quotients 1 to 9 ( 50 Questions ) ✎ Vertically Arranged Dividing by 7 with Quotients 1 to 9 ( 50 Questions ) ✎ Vertically Arranged Dividing by 8 with Quotients 1 to 9 ( 50 Questions ) ✎ Vertically Arranged Dividing by 9 with Quotients 1 to 9 ( 50 Questions ) ✎
  • Dividing by Groups of Individual Facts up to the 9 Times Table Vertically Arranged Dividing by 1, 2 and 5 with Quotients 1 to 9 ( 50 Questions ) ✎ Vertically Arranged Dividing by 3, 4 and 6 with Quotients 1 to 9 ( 50 Questions ) ✎ Vertically Arranged Dividing by 7, 8 and 9 with Quotients 1 to 9 ( 50 Questions ) ✎

Same as the previous section except with horizontally arranged questions and more options for the number of questions per page.

  • Horizontally Arranged Dividing by Individual Facts up to the 9 Times Table (100 Questions) Horizontally Arranged Dividing by 1 with Quotients 1 to 9 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 9 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 9 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 9 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 9 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 9 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 9 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 8 with Quotients 1 to 9 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 9 with Quotients 1 to 9 ( 100 Questions ) ✎
  • Horizontally Arranged Dividing by Individual Facts up to the 9 Times Table (50 Questions) Horizontally Arranged Dividing by 1 with Quotients 1 to 9 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 9 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 9 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 9 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 9 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 9 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 9 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 8 with Quotients 1 to 9 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 9 with Quotients 1 to 9 ( 50 Questions ) ✎
  • Horizontally Arranged Dividing by Individual Facts up to the 9 Times Table (25 Large Print Questions) Horizontally Arranged Dividing by 1 with Quotients 1 to 9 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 9 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 9 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 9 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 9 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 9 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 9 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 8 with Quotients 1 to 9 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 9 with Quotients 1 to 9 ( 25 Questions ; Large Print) ✎

Division Facts up to the 10 Times Table

division problems how to

Ten is such an important number in math. Our entire numbering system is based on tens. There are ten digits and each lower place is a tenth (divided by 10) of the place before it. Although 10 is a two-digit number, it is almost always included in multiplication and division facts learning. Multiplying and dividing by 10 is so important there is a whole page (powers of ten) on Math-Drills dedicated to it.

If you jumped right to this section, you cannot be blamed! A lot of students learn their times tables all at once and that means including the most important 10! So, when they are ready for division worksheets, they are ready for this section. For students who might be struggling a bit though, please scroll up and start them off with something a little more at their pace.

  • Division Facts up to the 10 Times Table With a Long Division Symbol Vertical Division Facts Up To The 10 Times Table With Long Division Symbol/Bracket (50 per page) ✎
  • Division Facts up to the 10 Times Table with a Division Sign Vertical Division Facts Dividends to 100 With Division Sign

Even with its size, 10 is often the easiest divisor to use... well, besides 1. This section includes horizontally arranged practice questions for all the division facts from the 1 times to the 10 times table.

  • Horizontally Arranged Division Facts up to the 10 Times Table Horizontally Arranged Division Facts with Dividends to 100 ( 100 Questions) ✎ Horizontally Arranged Division Facts with Dividends to 100 ( 50 Questions ) ✎

The worksheets in this section are included for students that need the facts one at a time with quotients from 1 to 10.

  • Dividing by Individual Facts up to the 10 Times Table Vertically Arranged Dividing by 1 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 2 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 3 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 4 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 5 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 6 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 7 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 8 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 9 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 10 with Quotients 1 to 10 ( 50 Questions ) ✎
  • Dividing by Groups of Individual Facts up to the 10 Times Table Vertically Arranged Dividing by 1, 2, 5 and 10 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 3, 4 and 6 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 7, 8 and 9 with Quotients 1 to 10 ( 50 Questions ) ✎

A horizontal repeat of the previous section.

  • Horizontally Arranged Dividing by Individual Facts up to the 10 Times Table (100 Questions) Horizontally Arranged Dividing by 1 with Quotients 1 to 10 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 10 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 10 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 10 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 10 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 10 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 10 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 8 with Quotients 1 to 10 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 9 with Quotients 1 to 10 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 10 with Quotients 1 to 10 ( 100 Questions ) ✎
  • Horizontally Arranged Dividing by Individual Facts with up to the 10 Times Table (50 Questions) Horizontally Arranged Dividing by 1 with Quotients 1 to 10 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 10 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 10 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 10 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 10 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 10 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 10 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 8 with Quotients 1 to 10 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 9 with Quotients 1 to 10 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 10 with Quotients 1 to 10 ( 50 Questions ) ✎
  • Horizontally Arranged Dividing by Individual Facts up to the 10 Times Table (25 Large Print Questions) Horizontally Arranged Dividing by 1 with Quotients 1 to 10 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 10 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 10 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 10 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 10 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 10 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 10 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 8 with Quotients 1 to 10 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 9 with Quotients 1 to 10 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 10 with Quotients 1 to 10 ( 25 Questions ; Large Print) ✎

Division Facts up to the 12 Times Table

division problems how to

Ah, twelve. Educators have a penchant for the the 12 times table likely because it is important in clocks, eggs, the Vendergood language, and definitely to the Dozenal Societies of America and Great Britain. In mathematics, it is seen mostly in the completion of both multiplication and division facts worksheets. Since Math-Drills is happy to support the base twelve system, we present worksheets with division facts up to the 12 times table in the unlikely event that the duodecimal (aka dozenal) system is ever adopted.

  • Division Facts up to the 12 Times Table with a Long Division Symbol Vertical Division Facts Up To The 11 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To The 12 Times Table With Long Division Symbol/Bracket (50 per page) ✎
  • Division Facts up to the 12 Times Table with a Division Sign Vertical Division Facts Dividends to 144 With Division Sign

Division is essentially asking the question, "How many _____'s are in _____?" For the question, 81 ÷ 9, the prompt would sound like, "How many 9's are in 81?" This prompt will benefit students in later math studies when there are more complex concepts such as dividing decimals or fractions. "How many thirds are in four?" or even better, "How many third cups are in four cups?" If necessary, get out the measuring cups.

This important section includes worksheets with division facts up to the 12 times table with a 100 question option.

  • Horizontally Arranged Division Facts up to the 12 Times Table Horizontally Arranged Division Facts with Dividends to 144 ( 100 Questions) ✎ Horizontally Arranged Division Facts with Dividends to 144 ( 50 Questions ) ✎

So, if you are having your students learn division facts up to the 12 times table, it might be useful to have some worksheets with individual facts for a few students who might be overwhelmed with everything at once!

  • Dividing by Individual Facts up to the 12 Times Table Vertically Arranged Dividing by 1 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 2 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 3 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 4 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 5 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 6 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 7 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 8 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 9 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 10 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 11 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 12 with Quotients 1 to 12 ( 50 Questions ) ✎
  • Dividing by Groups of Individual Facts up to the 12 Times Table Vertically Arranged Dividing by 1, 2, 5 and 10 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 3, 4 and 6 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 7, 8 and 9 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 11 and 12 with Quotients 1 to 12 ( 50 Questions ) ✎

Same idea as the previous section, but with a horizontal arrangement and different numbers of questions on each page.

  • Horizontally Arranged Dividing by Individual Facts up to the 12 Times Table (100 Questions) Horizontally Arranged Dividing by 1 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 8 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 9 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 10 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 11 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 12 with Quotients 1 to 12 ( 100 Questions ) ✎
  • Horizontally Arranged Dividing by Groups of Individual Facts up to the 12 Times Table (100 Questions) Horizontally Arranged Dividing by 1, 2, 5 and 10 (Quotient 1-12)
  • Horizontally Arranged Dividing by Individual Facts up to the 12 Times Table (50 Questions) Horizontally Arranged Dividing by 1 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 8 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 9 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 10 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 11 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 12 with Quotients 1 to 12 ( 50 Questions ) ✎
  • Horizontally Arranged Dividing by Individual Facts up to the 12 Times Table (25 Large Print Questions) Horizontally Arranged Dividing by 1 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 8 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 9 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 10 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 11 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 12 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎

Division Facts beyond the 12 Times Table

division problems how to

Scenario: you have some students that have aced the division facts up to the 12 times table and need more of a challenge. This section has got you covered. Is there an argument for learning division facts for times tables beyond 9? 10? 12? Sure, why not. Students are likely to apply their knowledge in future math studies by instantly recognizing that the square root of 625 is 25, for example.

  • Division Facts up to the 25 Times Table With a Long Division Symbol Vertical Division Facts Up To the 13 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To the 14 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To the 15 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To the 16 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To the 17 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To the 18 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To the 19 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To the 20 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts From 5 Up To the 21 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts From 5 Up To the 22 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts From 5 Up To the 23 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts From 5 Up To the 24 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts From 5 Up To the 25 Times Table With Long Division Symbol/Bracket (50 per page) ✎
  • Division Facts Up to the 15 Times Table With a Division Sign Vertical Division Facts Dividends to 169 With Division Sign Vertical Division Facts Dividends to 196 With Division Sign Vertical Division Facts Dividends to 225 With Division Sign

There are certainly a few questions on these worksheets that will be useful knowledge later on. If your students are interested in learning them, anything to do with 16, 20, 24, and 25 will certainly be useful, and likely someone could come up with a reason for learning the others. Sixteen is used in the base 16 (aka hexadecimal system), so converting hexadecimal numbers to decimal numbers involves dividing (and multiplying by 16). Twenty is a great number that is divisible by six different numbers and in turn is a factor of some important numbers. Twenty is also a coin unit in many countries. Twenty-four hours is the length of a day, so if you wanted to know how many days were in 288 hours, you might want to know your 24 times table division facts. Twenty-five, well that is the value of a quarter, isn't it? You could also calculate how many seconds of PAL video you have by dividing the number of frames by 25!

  • Horizontally Arranged Division Facts up to the 20 Times Table Horizontally Arranged Division Facts Up to the 13 Times Table ( 100 Questions) ✎ Horizontally Arranged Division Facts Up to the 14 Times Table ( 100 Questions) ✎ Horizontally Arranged Division Facts Up to the 15 Times Table ( 100 Questions) ✎ Horizontally Arranged Division Facts Up to the 16 Times Table ( 100 Questions) ✎ Horizontally Arranged Division Facts Up to the 17 Times Table ( 100 Questions) ✎ Horizontally Arranged Division Facts Up to the 18 Times Table ( 100 Questions) ✎ Horizontally Arranged Division Facts Up to the 19 Times Table ( 100 Questions) ✎ Horizontally Arranged Division Facts Up to the 20 Times Table ( 100 Questions) ✎

If the previous two sections are a little tough to handle right out of the gates, perhaps start with these worksheets that only deal with one of the divisors at a time.

  • Dividing by Individual Facts up to the 25 Times Table Vertically Arranged Dividing by 13 with Quotients 1 to 13 ( 50 Questions ) ✎ Vertically Arranged Dividing by 14 with Quotients 1 to 14 ( 50 Questions ) ✎ Vertically Arranged Dividing by 15 with Quotients 1 to 15 ( 50 Questions ) ✎ Vertically Arranged Dividing by 16 with Quotients 1 to 16 ( 50 Questions ) ✎ Vertically Arranged Dividing by 17 with Quotients 1 to 17 ( 50 Questions ) ✎ Vertically Arranged Dividing by 18 with Quotients 1 to 18 ( 50 Questions ) ✎ Vertically Arranged Dividing by 19 with Quotients 1 to 19 ( 50 Questions ) ✎ Vertically Arranged Dividing by 20 with Quotients 1 to 20 ( 50 Questions ) ✎ Vertically Arranged Dividing by 21 with Quotients 1 to 21 ( 50 Questions ) ✎ Vertically Arranged Dividing by 22 with Quotients 1 to 22 ( 50 Questions ) ✎ Vertically Arranged Dividing by 23 with Quotients 1 to 23 ( 50 Questions ) ✎ Vertically Arranged Dividing by 24 with Quotients 1 to 24 ( 50 Questions ) ✎ Vertically Arranged Dividing by 25 with Quotients 1 to 25 ( 50 Questions ) ✎

Even more of the previous section, but with 100 questions per page and a horizonal arrangement.

  • Horizontally Arranged Dividing by Individual Facts up to the 25 Times Table Horizontally Arranged Dividing by 13 with Quotients 1 to 13 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 14 with Quotients 1 to 14 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 15 with Quotients 1 to 15 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 16 with Quotients 1 to 16 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 17 with Quotients 1 to 17 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 18 with Quotients 1 to 18 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 19 with Quotients 1 to 19 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 20 with Quotients 1 to 20 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 21 with Quotients 1 to 21 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 22 with Quotients 1 to 22 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 23 with Quotients 1 to 23 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 24 with Quotients 1 to 24 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 25 with Quotients 1 to 25 ( 100 Questions ) ✎

Long division Worksheets

division problems how to

Need an easier way to divide large numbers? Try this method using powers of ten. To successfully use this method, students need to be able to multiply by powers of ten and to subtract. Students subtract the dividend multiplied by decreasing powers of ten until they have zero or a remainder. Example: 1458 ÷ 54. Note 54 × 1 = 54, 54 × 10 = 540 (nothing greater is needed). 1458 - 540 - 540 = 378. Note that 540 was subtracted twice, so the number of times that 54 "goes into" 1458 so far is 20 times. Continuing, 378 - 54 - 54 - 54 - 54 - 54 - 54 - 54 = 0. Since 54 was subtracted seven times, the quotient increases by seven for a total of 27. In other words, 54 "goes into" 1458, 27 times.

We might also mention that this method can be even more sophisticated by using multiples of powers of ten. In the above example, using 54 × 5 = 270 would have helped to get to the quotient quicker.

  • Long Division Worksheets with No Remainders Long Division with No Remainders with a Multiple of Ten Divisor and a 2-Digit Quotient Long Division with No Remainders with a 1-Digit Divisor and a 1-Digit Quotient Long Division with No Remainders with a 1-Digit Divisor and a 2-Digit Quotient Long Division with No Remainders with a 1-Digit Divisor and a 3-Digit Quotient Long Division with No Remainders with a 2-Digit Divisor and a 2-Digit Quotient Long Division with No Remainders with a 2-Digit Divisor and a 3-Digit Quotient Long Division with No Remainders with a 2-Digit Divisor and a 4-Digit Quotient Long Division with No Remainders with a 3-Digit Divisor and a 3-Digit Quotient Long Division with No Remainders with a 3-Digit Divisor and a 4-Digit Quotient Long Division with No Remainders with a 3-Digit Divisor and a 5-Digit Quotient
  • European Format Long Division Worksheets with No Remainders European Format Long Division with No Remainders with a 1-Digit Divisor and a 1-Digit Quotient European Format Long Division with No Remainders with a 1-Digit Divisor and a 2-Digit Quotient European Format Long Division with No Remainders with a 1-Digit Divisor and a 3-Digit Quotient European Format Long Division with No Remainders with a 2-Digit Divisor and a 2-Digit Quotient European Format Long Division with No Remainders with a 2-Digit Divisor and a 3-Digit Quotient European Format Long Division with No Remainders with a 2-Digit Divisor and a 4-Digit Quotient European Format Long Division with No Remainders with a 3-Digit Divisor and a 2-Digit Quotient European Format Long Division with No Remainders with a 3-Digit Divisor and a 3-Digit Quotient European Format Long Division with No Remainders with a 3-Digit Divisor and a 4-Digit Quotient

Have you ever thought that you could help a student understand things better and get a more precise answer while still using remainders? It's quite easy really. Remainders are usually given out of context, including on the answer keys below. A remainder is really a numerator in a fractional quotient. For example 19 ÷ 3 is 6 with a remainder of 1 which is more precisely 6 1/3. Using fractional quotients means your students will always find the exact answer to all long division questions, and in many cases the answer will actually be more precise (e.g. compare 6 1/3 with 6.3333....).

  • Long Division Worksheets with Remainders Long Division with Remainders with a Multiple of Ten Divisor and a 2-Digit Quotient Long Division with Remainders with a 1-Digit Divisor and a 2-Digit Dividend Long Division with Remainders with a 1-Digit Divisor and a 3-Digit Dividend Long Division with Remainders with a 1-Digit Divisor and a 4-Digit Dividend Long Division with Remainders with a 2-Digit Divisor and a 3-Digit Dividend Long Division with Remainders with a 2-Digit Divisor and a 4-Digit Dividend Long Division with Remainders with a 2-Digit Divisor and a 5-Digit Dividend Long Division with Remainders with a 3-Digit Divisor and a 4-Digit Dividend Long Division with Remainders with a 3-Digit Divisor and a 5-Digit Dividend Long Division with Remainders with a 3-Digit Divisor and a 6-Digit Dividend
  • European Format Long Division Worksheets with Remainders European Format Long Division with Remainders with a 1-Digit Divisor and a 2-Digit Dividend European Format Long Division with Remainders with a 1-Digit Divisor and a 3-Digit Dividend European Format Long Division with Remainders with a 1-Digit Divisor and a 4-Digit Dividend European Format Long Division with Remainders with a 2-Digit Divisor and a 3-Digit Dividend European Format Long Division with Remainders with a 2-Digit Divisor and a 4-Digit Dividend European Format Long Division with Remainders with a 2-Digit Divisor and a 5-Digit Dividend European Format Long Division with Remainders with a 3-Digit Divisor and a 4-Digit Dividend European Format Long Division with Remainders with a 3-Digit Divisor and a 5-Digit Dividend European Format Long Division with Remainders with a 3-Digit Divisor and a 6-Digit Dividend
  • Long Division Worksheets with Decimal Quotients Long Division with Decimal Quotients with a 1-Digit Divisor; 2-Digit Dividend Long Division with Decimal Quotients with a 1-Digit Divisor; 3-Digit Dividend Long Division with Decimal Quotients with a 1-Digit Divisor; 4-Digit Dividend Long Division with Decimal Quotients with a 2-Digit Divisor; 3-Digit Dividend Long Division with Decimal Quotients with a 2-Digit Divisor; 4-Digit Dividend Long Division with Decimal Quotients with a 2-Digit Divisor; 5-Digit Dividend Long Division with Decimal Quotients with a 3-Digit Divisor; 4-Digit Dividend Long Division with Decimal Quotients with a 3-Digit Divisor; 5-Digit Dividend Long Division with Decimal Quotients with a 3-Digit Divisor; 6-Digit Dividend
  • European Format Long Division Worksheets with Decimal Quotients European Format Long Division with Decimal Quotients with a 1-Digit Divisor; 2-Digit Dividend European Format Long Division with Decimal Quotients with a 1-Digit Divisor; 3-Digit Dividend European Format Long Division with Decimal Quotients with a 2-Digit Divisor; 2-Digit Dividend European Format Long Division with Decimal Quotients with a 2-Digit Divisor; 3-Digit Dividend European Format Long Division with Decimal Quotients with a 2-Digit Divisor; 4-Digit Dividend European Format Long Division with Decimal Quotients with a 3-Digit Divisor; 3-Digit Dividend European Format Long Division with Decimal Quotients with a 3-Digit Divisor; 4-Digit Dividend European Format Long Division with Decimal Quotients with a 3-Digit Divisor; 5-Digit Dividend

We thought it might be helpful to include some long division worksheets with the steps shown. The answer keys for these division worksheets use the standard algorithm that you might learn if you went to an English speaking school. Learning this algorithm by itself is sometimes not enough as it may not lead to a good conceptual understanding. One tool that helps students learn the standard algorithm and develop an understanding of division is a set of base ten blocks. By teaching students division with base ten blocks first then progressing to the standard algorithm, students will gain a conceptual understanding plus have the use of an efficient algorithm for long division. Students who have both of these things will naturally experience more success in their future mathematical studies.

  • Long Division with 1-Digit Divisors with the Steps Shown on the Answer Key 2-Digit by 1-Digit Long Division with Remainders with the Steps Shown on the Answer Key 3-Digit by 1-Digit Long Division with Remainders with the Steps Shown on the Answer Key 4-Digit by 1-Digit Long Division with Remainders with the Steps Shown on the Answer Key 5-Digit by 1-Digit Long Division with Remainders with the Steps Shown on the Answer Key 6-Digit by 1-Digit Long Division with Remainders with the Steps Shown on the Answer Key
  • Long Division with 2-Digit Divisors with the Steps Shown on the Answer Key 3-Digit by 2-Digit Long Division with Remainders with the Steps Shown on the Answer Key 4-Digit by 2-Digit Long Division with Remainders with the Steps Shown on the Answer Key 5-Digit by 2-Digit Long Division with Remainders with the Steps Shown on the Answer Key 6-Digit by 2-Digit Long Division with Remainders with the Steps Shown on the Answer Key
  • Long Division with 3-Digit Divisors with the Steps Shown on the Answer Key 4-Digit by 3-Digit Long Division with Remainders with the Steps Shown on the Answer Key 5-Digit by 3-Digit Long Division with Remainders with the Steps Shown on the Answer Key 6-Digit by 3-Digit Long Division with Remainders with the Steps Shown on the Answer Key

Some students find it difficult to get everything lined up when completing a long division algorithm, so these worksheets include a grid and wider spacing of the digits to help students get things in the right place. The answer keys include the typical steps that students would record while completing each problem; however, slight variations in implementation may occur. For example, some people don't bother with the subtraction signs,some might show steps subtracting zero, etc.

  • Long Division Worksheets with Grid Assistance and Prompts (No Remainders) 2-Digit by 1-Digit Long Division with Grid Assistance and Prompts and NO Remainders 3-Digit by 1-Digit Long Division with Grid Assistance and Prompts and NO Remainders 3-Digit by 2-Digit Long Division with Grid Assistance and Prompts and NO Remainders 4-Digit by 1-Digit Long Division with Grid Assistance and Prompts and NO Remainders 4-Digit by 2-Digit Long Division with Grid Assistance and Prompts and NO Remainders 5-Digit by 1-Digit Long Division with Grid Assistance and Prompts and NO Remainders 5-Digit by 2-Digit Long Division with Grid Assistance and Prompts and NO Remainders 6-Digit by 1-Digit Long Division with Grid Assistance and Prompts and NO Remainders 6-Digit by 2-Digit Long Division with Grid Assistance and Prompts and NO Remainders
  • Long Division Worksheets with Grid Assistance Only (No Remainders) 3-Digit by 1-Digit Long Division with Grid Assistance and NO Remainders 3-Digit by 2-Digit Long Division with Grid Assistance and NO Remainders 4-Digit by 1-Digit Long Division with Grid Assistance and NO Remainders 4-Digit by 2-Digit Long Division with Grid Assistance and NO Remainders 5-Digit by 1-Digit Long Division with Grid Assistance and NO Remainders 5-Digit by 2-Digit Long Division with Grid Assistance and NO Remainders 6-Digit by 1-Digit Long Division with Grid Assistance and NO Remainders 6-Digit by 2-Digit Long Division with Grid Assistance and NO Remainders
  • Long Division Worksheets with Grid Assistance and Prompts (Some Remainders) 2-Digit by 1-Digit Long Division with Grid Assistance and Prompts and some Remainders 3-Digit by 1-Digit Long Division with Grid Assistance and Prompts and some Remainders 3-Digit by 2-Digit Long Division with Grid Assistance and Prompts and some Remainders 4-Digit by 1-Digit Long Division with Grid Assistance and Prompts and some Remainders 4-Digit by 2-Digit Long Division with Grid Assistance and Prompts and some Remainders 5-Digit by 1-Digit Long Division with Grid Assistance and Prompts and some Remainders 5-Digit by 2-Digit Long Division with Grid Assistance and Prompts and some Remainders 6-Digit by 1-Digit Long Division with Grid Assistance and Prompts and some Remainders 6-Digit by 2-Digit Long Division with Grid Assistance and Prompts and some Remainders
  • Long Division Worksheets with Grid Assistance Only (Some Remainders) 3-Digit by 1-Digit Long Division with Grid Assistance and some Remainders 3-Digit by 2-Digit Long Division with Grid Assistance and some Remainders 4-Digit by 1-Digit Long Division with Grid Assistance and some Remainders 4-Digit by 2-Digit Long Division with Grid Assistance and some Remainders 5-Digit by 1-Digit Long Division with Grid Assistance and some Remainders 5-Digit by 2-Digit Long Division with Grid Assistance and some Remainders 6-Digit by 1-Digit Long Division with Grid Assistance and some Remainders 6-Digit by 2-Digit Long Division with Grid Assistance and some Remainders

Divisibility by 2, 5 and 10

A number is divisible by 2 if the final digit (the digit in the ones place) is even. Numbers ending in 0, 2, 4, 6, or 8 therefore are divisible by 2. A number is divisible by 5 if the final digit is a 0 or a 5. A number is divisible by 10 if the final digit is a 0.

Divisibility by 3, 6 and 9

A number is divisible by 3 if the sum of its digits is divisible by 3. For example, 285 is divisible by 3 because 2 + 8 + 5 = 15 is divisible by 3. A number is divisible by 6 if it is divisible by both 3 and 2 (see above rules). A number is divisible by 9 if the sum of its digits is divisible by 9. For examples, 285 is not divisible by 9 because 2 + 8 + 5 = 15 is not divisible by 9.

Divisibility by 4, 7 and 8

A number is divisible by 4 if the last two digits of the number are divisible by 4. For 7, there are a couple of strategies to use. Please see Divisibility Tricks for Learning Math for more information. A number is divisible by 8 if the last three digits are divisible by 8. This is the standard rule which can be a little sketchy for larger numbers, like who knows if 680 is divisible by 8? Because of this, we offer our Math-Drills.com solution which requires a little arithmetic, but can be accomplished quite easily with a little practice. As you know 8 is 2 to the third power, so we thought if you could divide the last three digits of a number by 2 three times, it would be divisible by 8. 680 ÷ 2 ÷ 2 ÷ 2 = 340 ÷ 2 ÷ 2 = 170 ÷ 2 = 85. We have a winner! 680 is indeed divisible by 8.

  • Divisibility Rules Worksheets with 2-Digit Numbers Divisibility of 2, 5 and 10 (2-digit) Divisibility of 3, 6 and 9 (2-digit) Divisibility of 4, 7 and 8 (2-digit) Divisibility of Numbers 2 to 10 (2-digit)
  • Divisibility Rules Worksheets with 3-Digit Numbers Divisibility of 2, 5 and 10 (3-digit) Divisibility of 3, 6 and 9 (3-digit) Divisibility of 4, 7 and 8 (3-digit) Divisibility of Numbers 2 to 10 (3-digit)
  • Divisibility Rules Worksheets with 4-Digit Numbers Divisibility of 2, 5 and 10 (4-digit) Divisibility of 3, 6 and 9 (4-digit) Divisibility of 4, 7 and 8 (4-digit) Divisibility of Numbers 2 to 10 (4-digit)

Dividing numbers in number systems other than decimal numbers including binary, quaternary, octal, duodecimal and hexadecimal numbers.

  • Worksheets for Long Division in Other Base Number Systems Dividing Binary Numbers (Base 2) Dividing Ternary Numbers (Base 3) Dividing Quaternary Numbers (Base 4) Dividing Quinary Numbers (Base 5) Dividing Senary Numbers (Base 6) Dividing Octal Numbers (Base 8) Dividing Duodecimal Numbers (Base 12) Dividing Hexadecimal Numbers (Base 16) Dividing Vigesimal Numbers (Base 20) Dividing Hexatrigesimal Numbers (Base 36) Dividing Various Numbers (Various Bases)

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Division is splitting into equal parts or groups.

It is the result of "fair sharing"., example: there are 12 chocolates, and 3 friends want to share them, how do they divide the chocolates.

Answer: 12 divided by 3 is 4. They get 4 each.

We use the ÷ symbol, or sometimes the / symbol to mean divide:

Let's use both symbols here so we get used to them.

More Examples

Here are some more examples:

Opposite of Multiplying

Division is the opposite of multiplying . When we know a multiplication fact we can find a division fact:

Example: 3 × 5 = 15, so 15 / 5 = 3.

Also 15 / 3 = 5.

Why? Well, think of the numbers in rows and columns like in this illustration:

So there are four related facts :

Knowing your Multiplication Tables can help you with division!

Example: What is 28 ÷ 7 ?

Searching around the multiplication table we find that 28 is 4 × 7, so 28 divided by 7 must be 4.

Answer: 28 ÷ 7 = 4

There are special names for each number in a division:

dividend ÷ divisor = quotient

Example: in 12 ÷ 3 = 4:

  • 12 is the dividend
  • 3 is the divisor
  • 4 is the quotient

But Sometimes It Does Not Work Perfectly!

Sometimes we cannot divide things up exactly ... there may be something left over.

Example: There are 7 bones to share with 2 pups.

But 7 cannot be divided exactly into 2 groups, so each pup gets 3 bones, but there will be 1 left over :

We call that the Remainder .

Read more about this at Division and Remainders

Try these division worksheets .

Division in Math

Division is a math superpower that breaks down a whole — whether you’re cutting a pizza or divvying up some candy!

Christina Levandowski

Author Christina Levandowski

jill padfield

Expert Reviewer Jill Padfield

Published: August 24, 2023

division problems how to

  • Key takeaways
  • Division is an opposite game – If you multiply numbers, you can “undo” them using division. It’s multiplication’s opposite function! 
  • There’s a few signs to look for – There are three main symbols for division.
  • You won’t always get “even Stevens” – Sometimes, you’ll have a little left over. That leftover number is known as the “remainder.”

Table of contents

What is division?

Common symbols and terminology, properties of division, how to divide in 6 easy steps, what is long division, working with remainders.

  • Let’s practice together!

Practice problems

Division is one of the most important math skills you’ll practice, helping you to undo multiplication problems or break off parts of a “whole.” We know it looks complicated, but it really isn’t! You just need to know what signs to look for that tell you when division is needed. 

Like addition and subtraction, division uses a few special terms and symbols. Knowing these can help you to work out your problems quickly and correctly. 

We know it sounds complicated right now — but with a little practice and this handy guide, you’ll be flying through your math homework in no time!

division problems how to

Division is a process in math that lets you break down a number into multiple, equal parts. Sometimes, you can cut everything down into whole number parts, and, sometimes, you’ll be left with a little leftover, giving you a decimal or fraction for an answer rather than a whole number. 

You’ll often see division problems vertically, like this:

Division in math 2

It can also be written horizontally: 10 ÷ 2, as 10/2 , or using a division bar: 2 ⟌ 10.

No matter how you see it, though, the use for it is always the same. You’re breaking down a number or quantity into smaller pieces. 

Let’s take a look at some key terms that’ll help you build your division skills.

Division is a simple mathematical operation, but there are still a few terms to know to help you find the correct solution. 

Here are the terms you need to know to solve division equations with ease:

division problems how to

➗ — This is known as a division sign, and it tells you that a number needs to be broken down into multiple pieces. 

⟌ — This is the division bar, and it also means to divide. On the outside of the bar, you’ll see the number determining how many pieces are needed from the whole (the divisor), and the dividend on the inside, which is what you’ll be dividing. The answer goes on the top of the bar. 

∕ — This is known as the division slash. Generally, the divisor comes first, and the dividend will appear second.

Important vocabulary

  • Divisor – The divisor is the number that is determining how many pieces are needed from the whole. For example: in 15 ÷ 3, three would be the divisor. It’s also the number located outside of the bracket when you see a division bar.
  • Dividend – The dividend is the number that’s being divided, and it’s found inside the division bar.
  • Quotient – The quotient is your answer, which goes after the equals (=) sign or on the top of the division bar.
  • Remainder – In some cases, you’ll have a remainder — which means that the divisor can’t be equally divided into the dividend. The remainder is written to the side of your equation next to the division bar.

Anytime you see the word “property” in math, know that it’s just a rule to remember as you work through your groups of problems. Here are some of the most important properties of division that you need to know: 

  • The Division By 1 Property:  If a number is divided by 1, the quotient will always be the original number. 
  • The Division By Itself Property: If a number is divided by itself, the quotient will always be 1. 
  • The Division By 0 Property: If a number is divided by 0, it’s “undefined” and cannot be solved. 
  • The Division Of 0 By (Any) Number Property: If a 0 value is divided by any number, you’ll have 0 as your quotient.

Knowing these helpful properties can help you to do basic operations (like division) confidently. Remember — these are division facts, so these properties will always be true…no matter what problem you’re working to find the quotient to!

Now that you know the terms and properties of your division operation, it’s time to practice your skills. Let’s work the problem below together. 

Division in math 4

1. Prepare your equation

We know that the problem above can feel overwhelming — so we want to take this moment to remind you that what we’re doing is breaking down a number into smaller numbers (or smaller groups of numbers). 

First things first, we have to prepare the equation. Feel free to keep it horizontal,  write it vertically, or use a division bar if you’d like. Use whatever method you feel comfortable with. 

Remember: The dividend (15) belongs inside the division bar if you choose to use that method. 

2. Start with the first digit of the dividend from the left

As we begin to divide, we need to start from the first digit from the left (in this case, 1) and ask ourselves: Does the divisor (3) go into 1 at least once? 

The answer here is “no,” so we will then evaluate the first AND second integer (making 15) as a dividend. 

We ask again: Does the divisor (3) go into 15 at least once? 

Now, the answer is “yes” — we just have to count how many times 3 can go into 15, starting our division process.* 

*NOTE: You can do this by using basic arithmetic operations (such as multiplication) to “undo” the problem (i.e., 3 x ? = 15) or counting by threes until you reach 15. 

In our case, 3 goes into 15 a total of five times.

3. Divide it by the divisor and write the answer on top as the quotient

Now that we know that 15 ÷ 3 = 5, it’s time to write it into our equation. Go ahead and write 5 behind the equals sign or standing tall at the top of your division bar. 

4. Subtract the product of the divisor and the digit written in the quotient from the first digit of the dividend

Now, we have to check our work. We have to ask ourselves: What is 5 x 3? Does it equal our dividend? If it does, you’re golden — you’ve done it! 

Do the multiplication, and then subtract your product to ensure that there’s no other steps remaining (like you’d see in the case of a remainder). 

In our example, 15 – 15 = 0…so no remainder or further action is needed.

5. Bring down the next digit in the dividend (if possible)

In other problems, if you did have a three or four digit dividend, you might need to bring down the next digit in the dividend, and determine if your divisor divides that number cleanly. 

You would then repeat the division process, putting your answer over the third or “next” place above the division bar as part of the quotient. 

Next, yo would repeat step 4 to determine if more steps in the division process are needed.

In our example, we don’t have to do this, so we will leave it as is. Good work!

Congratulations! You just broke a large number down into equal, separate parts. It’s time to repeat the process for your other problems. 

Long division is a form of division that’s used to break down larger numbers and will generally repeat steps 1-6 above at least three or more times. 

We’ll work on that stuff later — for now, let’s just focus on mastering the basics!

What happens when you wind up with a little extra left over, you might ask? While it can look pretty scary, it’s simple to solve.

To do this, you’ll repeat steps one through five above until you get a number that cannot continue to be divided evenly. At this point, you’ll do a few additional steps:

  • Determine how many times the divisor goes in to the product of your current answer and the divisor. This won’t be a clean number, and that’s OKAY — that’s what your remainder process is for.
  • Complete the subtraction steps. After you get your number, complete the subtraction steps and write your answer below the subtraction bar.
  • For example: In the case of 16 ➗ 3, we would write the quotient as: 5R1.

When you see that there’s zero left over, or if there is no way for the divisor to divide into the dividend, that means that your problem is solved!

Let’s practice together

Division in math 5

  • We ask: “How many times can 6 go into 2?” 
  • 6 is greater than 2, so we will not be able to put a number over the 2. We then consider, “How many times can 6 go into 20?”
  • Well, this is a bit of a challenge! 6 does not go into 20 evenly. 6 x 3= 18, and 6 x 4= 24. So, 6 can go into 20 three times, but it won’t go evenly.
  • So, we add the 3 over the 0, above the division bar.
  • We put the product of 6 x 3 (our divisor x our quotient) under the dividend and subtract to determine if the a remainder in our difference. 
  • There is a remainder of 2. We write our quotient as: 3R2 .

Division in math 6

  • We know that our divisor is going to be 1, and our dividend (the number being divided) is 5. We identify them, and we put them properly into a division bar. 
  • We ask: “How many times can 1 go into 5?” 
  • Instead of working the problem counting or using multiplication, we remember the Division By 1 Property. 
  • We put 5 at the top of our division bar, since any integer that is divided by 1 will always be itself. 
  • There is no remainder for these types of Division By 1 Property problems. We can move on to the next problem.

Division in math 7

  • We know that our divisor is going to be 2, and our dividend (the number being divided) is 0. We identify them, and we put them properly into a division bar. 
  • We ask, “How many times can 2 go into 0?” 
  • Instead of working the problem counting or using multiplication, we remember the Division Of 0 By (Any) Number Property. 
  • We put 0 at the top of our division bar, since any integer that attempts to divide 0 as a dividend will always result in a quotient of zero. 
  • There is no remainder for these types of Division Of 0 By (Any) Number Property problems. We move on to the next problem.

Ready to give it a go?

You’ve done great so far — and you’re well on your way to mastering the art of division. Don’t be afraid to keep trying and make mistakes. 

Practice makes perfect, so we’ve given you a few more problems to practice as you work to perfect your skills. Remember: You can always scroll up to walk through the tutorials and refresh yourself on the terms, placement, and properties you’ll need to solve these correctly. 

By the end of this session, we’re confident that you’ll be ready to claim that A+ on your next math test. You can do it!

Click to reveal the answer.

The answer is 2 .

Division in math 8

The answer is 1R6 .

Division in math 9

The answer is 4 . 

Division in math 10

Parent Guide

Doodle-Blog-NumberIcons_1

The answer is 2.

How did we get here? 

  • We identify 4 as the dividend and 2 as the divisor, and place them in the division bar. 
  • We ask: “How many times can 2 go into 4?” We determine this using the “count by twos” method, which shows us that 2 goes into 4 a total of two times. 
  • We put 2 at the top of our division bar as the quotient, and multiply it by our divisor (2). We then subtract the product of our multiplication from the number to get an answer of 0, which shows us that there is no remainder. You’re done!

Doodle-Blog-NumberIcons_2

The answer is 1R6.

  • We identify 8 as our divisor and 14 as our dividend, and place them in the division bar. 
  • We ask: “How many times can 8 go into 14?”, as 8 will not go into 1. We determine this using the “count by eights” method, which shows us that 8 goes into 14 just once. 
  • We write a 1 in the quotient place above the 4 under the division bar. We then multiply 1 x 8 to get a product of 8, which is placed below the 14 under the division bar. 
  • Now, we do the math and subtract 8 from 14. We’ll get 6 as our difference. 
  • We then write our quotient as 1R6.

Doodle-Blog-NumberIcons_3

The answer is 4. 

How did we get here?

  • We identify 5 as our divisor and 20 as our dividend, and place them in the division bar. 
  • We ask: “How many times can 5 go into 20,” as 5 will not go into 2 at all. We determine this using the “count by fives” method, which shows us that 5 can go into 20 cleanly four times. 
  • We place a “4” in our quotient place, and multiply 4 x 5 to get a product of 20. This is written under the division bar as a subtraction problem. 
  • We subtract 20 – 20, resulting in a difference of 0. 
  • This means that 4 is our final quotient with no remainder.

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FAQs about math strategies for kids

We understand that diving into new information can sometimes be overwhelming, and questions often arise. That’s why we’ve meticulously crafted these FAQs, based on real questions from students and parents. We’ve got you covered!

Division is the mathematical process that breaks down a big value into smaller values. 

There are plenty of times you’ll use division in your everyday life. Some of the most common ways might be to break up an even quantity of something, determining how much of an ingredient to use, or grouping up items for use. 

Division is the inverse of multiplication. This means that it naturally undoes any sort of operation that’s done with multiplication. 

The three main parts of division are the divisor, dividend, and quotient. 

Group 208

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Christina Levandowski

Christina has written for hundreds of clients from small businesses to Indeed.com. She has extensive experience working with marketing strategy and social media marketing, and has her own business creating assets for clients in the space. She enjoys being an entrepreneur and has also started pursuing investment opportunities as time permits.

jill padfield

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Division '÷' | Basics of Arithmetic

This page covers the basics of Division (÷) .

See our other arithmetic pages for discussion and examples of: Addition ( + ) , Subtraction (-) and Multiplication ( × ) .

The usual written symbol for division is (÷). In spreadsheets and other computer applications the ‘/’ (forward slash) symbol is used.

Division is the opposite of multiplication in mathematics.

Division is often considered the most difficult of the four main arithmetic functions. This page explains how to perform division calculations. Once we have a good understanding of the method and rules, we can use a calculator for more tricky calculations without making mistakes.

Division allows us to divide or 'share' numbers to find an answer. For example, let’s consider how we would find the answer to 10 ÷ 2 (ten divided by two). This is the same as ‘sharing’ 10 sweets between 2 children. Both children must end up with the same number of sweets. In this example the answer is 5.

Some Quick Rules about Division:

When you divide 0 by another number the answer is always 0. For example: 0 ÷ 2 = 0. That is 0 sweets shared equally among 2 children - each child gets 0 sweets.

When you divide a number by 0 you are not dividing at all (this is quite a problem in mathematics). 2 ÷ 0 is not possible. You have 2 sweets but no children to divide them among. You cannot divide by 0.

When you divide by 1, the answer is the same as the number you were dividing. 2 ÷ 1 = 2. Two sweets divided by one child.

When you divide by 2 you are halving the number. 2 ÷ 2 = 1.

Any number divided by the same number is 1. 20 ÷ 20 = 1. Twenty sweets divided by twenty children - each child gets one sweet.

Numbers must be divided in the correct order. 10 ÷ 2 = 5 whereas 2 ÷ 10 = 0.2. Ten sweets divided by two children is very different to 2 sweets divided by 10 children.

All fractions such as ½, ¼ and ¾ are division sums. ½ is 1 ÷ 2. One sweet divided by two children. See our page Fractions for more information.

Multiple Subtractions

Just as multiplication is a quick way of calculating multiple additions, division is a quick way of performing multiple subtractions.

For example:

If John has 10 gallons of fuel in his car and uses 2 gallons a day how many days before he runs out?

We can work this problem out by doing a series of subtractions, or by counting backwards in steps of 2.

  • On day 1 John starts with 10 gallons and ends with 8 gallons.  10 - 2 = 8
  • On day 2 John starts with 8 gallons and ends with 6 gallons. 8 - 2 = 6
  • On day 3 John starts with 6 gallons and ends with 4 gallons. 6 - 2 = 4
  • On day 4 John starts with 4 gallons and ends with 2 gallons. 4 - 2 = 2
  • On day 5 John starts with 2 gallons and ends with 0 gallons. 2 - 2 = 0

John runs out of fuel on day 5. 

A quicker way of performing this calculation would be to divide 10 by 2. That is, how many times does 2 go into 10, or how many lots of two gallons are there in ten gallons? 10 ÷ 2 = 5.

The multiplication table (see multiplication ) can be used to help us find the answer to simple division calculations.

In the example above we needed to calculate 10 ÷ 2 . To do this, using the multiplication table locate the column for 2 (the red shaded heading).  Work down the column until you find the number you are looking for, 10 . Move across the row to the left to see the answer (the red shaded heading) 5 .

Multiplication Table

We can work out other simple division calculations using the same method. 56 ÷ 8 = 7 for example. Find 7 on the top row, look down the column until you find 56 , then find the corresponding row number, 8 .

If possible, you should try to memorise the multiplication table above because it makes solving simple multiplication and division calculations much quicker.

Dividing Larger Numbers

You can use a calculator to perform division calculations, especially when you are dividing larger numbers that are more difficult to work out in your head. However, it is important to understand how to perform division calculations manually. This is helpful when you don’t have a calculator to hand, but is also essential for making sure that you use the calculator correctly and don’t make mistakes. Division can look daunting but in fact, as with most arithmetic,  it is logical.

As with all mathematics, it is easiest to understand if we work through an example:

Dave’s car needs new tyres. He needs to replace all four tyres on the car, plus the spare.

Dave has had a quote from a local garage for £480 to include the tyres, fitting and disposal of the old tyres. How much does each tyre cost?

The problem we need to calculate here is 480 ÷ 5 . This is the same as saying how many times will 5 go into 480?

Conventionally, we write this as:

We work from left to right in a logical system.

We start by dividing 4 by 5 and immediately hit a problem. 4 does not divide by 5 to leave a whole number, as 5 is greater than 4.

The language we use in maths can be confusing. Another way of looking at this is to say, ‘how many times does 5 go into 4?’.

We know that 2 goes into 4 twice (4 ÷ 2 = 2) and we know that 1 goes into 4 four times (4 ÷ 1 = 4), but 5 does not go into 4 because 5 is larger than 4.

The number we are dividing by (in this case 5) needs to go into the number we are dividing into (in this case 4) a whole number of times. It doesn’t have to be an exact whole number, as you will see.

Since 5 does not go into 4 we put a 0 in the first (hundreds) column. For help with the hundreds, tens and units columns see our page on numbers .

Next, we move to the right to include the tens column. Now we can see how many times 5 goes into 48.

5 does go into 48 as 48 is greater than 5. However, we need to find out how many times it goes.

If we refer to our multiplication table, we can see that 9 × 5 = 45 and 10 × 5 = 50 .

48 , the number we’re looking for, falls between these two values. Remember, we are interested in the whole number of times that 5 goes into 48. Ten times is too many.

We can see that 5 goes into 48 a whole number (9) times, but not exactly, with 3 left over.

9 × 5 = 45 48 – 45 = 3

We can now say that 5 goes into 48 nine times, but with a remainder of 3. The remainder is what is left when we subtract the number we have found from the number we are dividing into: 48 - 45 = 3 .

So 5 × 9 = 45, + 3 to get 48.

We can enter 9 in the tens column as our answer for the second part of the calculation and bring our remainder in front of our last number in the units column. Our last number becomes 30.

We now divide 30 by 5 (or find out how many times 5 goes into 30). Using our multiplication table we can see the answer is exactly 6, with no remainder. 5 × 6 = 30. We write 6 in the units column of our answer.

As there are no remainders, we have finished the calculation and have the answer 96 .

Dave’s new tyres are going to cost £96 each. 480 ÷ 5 = 96 and 96 × 5 = 480 .

Recipe Division

Our final example of division is based on a recipe.  Often when cooking, recipes will tell you how much food they are going to make, enough to feed 6 people, for example.

The ingredients below are needed to make 24 fairy cakes, however, we only want to make 8 fairy cakes. We have modified the ingredients slightly for the benefit of this example (original recipe at: BBC Food ).

The first thing we need to establish is how many 8's there are in 24 – use the multiplication table above or your memory.  3 × 8 = 24 – if we divide 24 by 8 we get 3.  Therefore we need to divide each ingredient below by 3 in order to have to right amount of mixture to make 8 fairy cakes.

Ingredients

  • 120g butter, softened at room temperature
  • 120g caster sugar
  • 3 free-range eggs, lightly beaten
  • 1 tsp vanilla extract
  • 120g self-raising flour
  • 1-2 tbsp milk

The amount of butter, sugar and flour are all the same, 120g.  It is therefore only necessary to work out 120 ÷ 3 once, as the answer will be the same for those three ingredients.

As before we start in the left (hundreds) column and divide 1 by 3. However 3 ÷ 1 doesn’t go as 3 is greater than 1. Next, we look at how many times 3 goes into 12. Using the multiplication table if needed we can see that 3 goes into 12  exactly 4 times  with no remainder.

120g ÷ 3 is therefore 40g. We now know that we’ll need 40g of butter, sugar and flour.

The original recipe calls for 3 eggs and we again divide by 3. So 3 ÷ 3 = 1, therefore one egg is needed.

Next the recipe calls for 1tsp (teaspoon) of vanilla extract. We need to divide one teaspoon by 3. We know that division can be written as a fraction, so 1 ÷ 3 is the same as ⅓ (one third). You’ll need ⅓ of a teaspoon of vanilla extract – although in reality it may be difficult to accurately measure ⅓ of a teaspoon!

Estimating can be useful, and units can be changed!

We can look at this another way, if we know that one teaspoon is the same as 5ml or 5 millilitres. (If you need some help with units, see our page on Systems of Measurement .) If we want to be more accurate, we can try dividing 5ml by 3. 3 goes into 5 once (3) with 2 left over. 2 ÷ 3 is the same as ⅔, so 5ml divided by 3 gives us 1⅔ml, which in decimals is 1.666ml. We can use our estimating skills and say that one teaspoon divided by three is a tiny bit more than one and a half ml. If you have some of those tiny measuring spoons in your kitchen, you can be super-accurate!

We can estimate the answer, to check that we are correct. Three lots of 1.5 ml gives us 4.5 ml. So three lots of ‘a tiny bit more than 1.5 ml’, gives us around 5ml. Recipes are rarely an exact science, so a little bit of estimating can be fun and good practice for our mental arithmetic.

Next the recipe calls for 1–2 tbsp of milk. That is between 1 and 2 tablespoons of milk. We have no definitive amount and how much milk you add will be dependent on your mixture consistency.

We already know that 1 ÷ 3 is ⅓ and 2 ÷ 3 is ⅔. We will therefore need ⅓–⅔ of a tablespoon of milk to make eight fairy cakes. Let’s look at this another way. One tablespoon is the same as 15ml. 15 ÷ 3 = 5, so ⅓–⅔ of a tablespoon is the same as 5–10ml, which is the same as 1–2 teaspoons!

Fundamentals of Numeracy - The Skills You Need Guide to Numeracy

Further Reading from Skills You Need

Fundamentals of Numeracy Part of The Skills You Need Guide to Numeracy

This eBook provides worked examples and easy-to-understand explanations to show you how to use basic mathematical operations and start to manipulate numbers. It also includes real-world examples to make clear how these concepts are useful in real life.

Whether you want to brush up on your basics, or help your children with their learning, this is the book for you.

Continue to: Mental Arithmetic – Basic Mental Maths Hacks Ordering Mathematical Operations | BODMAS

See also: Positive and Negative Numbers | Percentages Averages (Mean, Median and Mode) | Calculating Area

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Division Workbook

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Division Worksheets

Division worksheets for grade 3 through grade 6.

Our free division worksheets start with practicing simple division facts (e.g. 10 ÷2 = 5) and progress to long division with divisors up to 99. Exercises with and without remainders and with missing divisors or dividends are included.

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Grade 3 division worksheets, grade 4 mental division worksheets, grade 4 long division worksheets, grade 5 division worksheets, grade 6 division worksheets.

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  • Dividing by 10
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  • Divide by whole 10s
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  • Division with remainders (1-100)
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  • Divide by 10 or 100
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  • Divide numbers up to 1,000 by 1-digit numbers
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  • Divide by 10 or 100, with remainders
  • Mixed multiplication and division word problems
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Long Division

Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence. Just like the regular division problems, the dividend is divided by the divisor which gives a result known as the quotient, and sometimes it gives a remainder too. Let us learn how to divide using the long division method , along with long division examples with answers, which include the long division steps in this article.

What is Long Division Method?

Long division is a method for dividing large numbers into steps or parts, breaking the division problem into a sequence of easier steps. It is the most common method used to solve problems based on division . Observe the following long division method to see how to divide step by step and check the divisor, the dividend, the quotient, and the remainder.

Long Division Method - Long division step by step

The above example also showed us how to do 2 digit by 1 digit division.

Parts of Long Division

While performing long division, we need to know the important parts of long division. The basic parts of long division can be listed as follows:

The following table describes the parts of long division with reference to the example shown above.

How to do Long Division?

Division is one of the four basic mathematical operations, the other three being addition , subtraction , and multiplication . In arithmetic, long division is a standard division algorithm for dividing large numbers, breaking down a division problem into a series of easier steps. Let us learn about the steps that are followed in long division.

Long Division Steps

In order to perform division, we need to understand a few steps. The divisor is separated from the dividend by a right parenthesis 〈)〉 or vertical bar 〈|〉 and the dividend is separated from the quotient by a vinculum (an overbar). Now, let us follow the long division steps given below to understand the process.

  • Step 1: Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor.
  • Step 2: Then divide it by the divisor and write the answer on top as the quotient.
  • Step 3: Subtract the result from the digit and write the difference below.
  • Step 4: Bring down the next digit of the dividend (if present).
  • Step 5: Repeat the same process.

Let us have a look at the examples given below for a better understanding of the concept. While performing long division, we may come across problems when there is no remainder, while some questions have remainders. So, first, let us learn division in which we get remainders.

Division with Remainders

Case 1: When the first digit of the dividend is equal to or greater than the divisor.

Example: Divide 435 ÷ 4

Solution: The steps of this long division are given below:

  • Step 1: Here, the first digit of the dividend is 4 and it is equal to the divisor. So, 4 ÷ 4 = 1. So, 1 is written on top as the first digit of the quotient.
  • Step 2: Subtract 4 - 4 = 0. Bring the second digit of the dividend down and place it beside 0.
  • Step 3: Now, 3 < 4. Hence, we write 0 as the quotient and bring down the next digit of the dividend and place it beside 3.
  • Step 4: So, we have 35 as the new dividend. We can see that 35 > 4 but 35 is not divisible by 4, so we look for the number just less than 35 in the table of 4 . We know that 4 × 8 = 32 which is less than 35 so, we go for it.
  • Step 5: Write 8 in the quotient. Subtract: 35 - 32 = 3.
  • Step 6: Now, 3 < 4. Thus, 3 is the remainder and 108 is the quotient.

Long Division steps

Case 2: When the first digit of the dividend is less than the divisor.

Example: Divide 735 ÷ 9

Solution: Let us divide this using the following steps.

  • Step 1: Since the first digit of the dividend is less than the divisor, put zero as the quotient and bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.
  • Step 2: 73 is not divisible by 9 but we know that 9 × 8 = 72 so, we go for it.
  • Step 3: Write 8 in the quotient and subtract 73 - 72 = 1.
  • Step 4: Bring down 5. The number to be considered now is 15.
  • Step 5: Since 15 is not divisible by 9 but we know that 9 × 1 = 9, so, we take 9.
  • Step 6: Subtract: 15 - 9 = 6. Write 1 in the quotient.
  • Step 7: Now, 6 < 9. Thus, remainder = 6 and quotient = 81.

Divide 735 by 9 using long division method

Case 3: This is a case of long division without a remainder.

Division without Remainder

Example: Divide 900 ÷ 5

Solution: Let us see how to divide step by step.

Long Division without Remainder

  • Step 1: We will consider the first digit of the dividend and divide it by 5. Here it will be 9 ÷ 5.
  • Step 2: Now, 9 is not divisible by 5 but 5 × 1 = 5, so, write 1 as the first digit in the quotient.
  • Step 3: Write 5 below 9 and subtract 9 - 5 = 4.
  • Step 4: Since 4 < 5, we will bring down 0 from the dividend to make it 40.
  • Step 5: 40 is divisible by 5 and we know that 5 × 8 = 40, so, write 8 in the quotient.
  • Step 6: Write 40 below 40 and subtract 40 - 40 = 0.
  • Step 7: Bring down the next 0 from the dividend. Since 5 × 0 = 0, we write 0 as the remaining quotient.
  • Step 9: Therefore, the quotient = 180 and there is no remainder left after the division, that is, remainder = 0.

Long division problems also include problems related to long division by a 2 digit number, long division polynomials and long division with decimals. Let us get an an idea about these in the following sections.

Long Division by a 2 Digit Number

Long division by a 2 digit number means dividing a number by a 2-digit number . For long division by a 2 digit number , we consider both the digits of the divisor and check for the divisibility of the first two digits of the dividend.

For example, if we need to divide 7248 by 24, we can do it using the long division steps. Let us see how to divide step by step.

  • Step 1: Since it is a long division by a 2 digit number, we will check for the divisibility of the first two digits of the dividend. The first 2 digits of the dividend are 72 and it is greater than the divisor, so, we will proceed with the division.
  • Step 2: Using the multiplication table of 24, we know that 24 × 3 = 72. So we write 3 in the quotient and 72 below the dividend to subtract these. Subtract 72 - 72 = 0.
  • Step 3: Bring down the next number from the dividend, that is, 4. The number to be considered now is 4.
  • Step 4: Since 4 is smaller than 24, we will put 0 as the next quotient, since 24 × 0 = 0 and write 0 below 4 to subtract 4 - 0 = 4
  • Step 5: Bring down the next number from the dividend, that is, 8 and place it next to this 4. The number to be considered now is 48.
  • Step 6: Using the multiplication table of 24, we know that 24 × 2 = 48. So we write 2 in the quotient and 48 below the dividend to subtract these. Subtract 48 - 48 = 0. Thus, remainder = 0 and quotient = 302. This means, 7248 ÷ 24 = 302.
  • Long Division of Polynomials

When there are no common factors between the numerator and the denominator , or if you can't find the factors, you can use the long division process to simplify the expression. For more details about long division polynomials, visit the Dividing Polynomials page.

Long Division with Decimals

Long division with decimals can be easily done just like the normal division. We just need to keep in mind the decimals and keep copying them as they come. For more details about long division with decimals, visit the Dividing Decimals page.

How to Divide Decimals by Whole Numbers?

When we need to divide decimals by whole numbers, we follow the same procedure of long division and place the decimal in the quotient whenever it comes. Let us understand this with the help of an example.

Example: Divide 36.9 ÷ 3

  • Step 1: Here, the first digit of the dividend is 3 and it is equal to the divisor. So, 3 ÷ 3 = 1. So, 1 is written on top as the first digit of the quotient and we write the product 3 below the dividend 3.
  • Step 2: Subtract 3 - 3 = 0. Bring the second digit of the dividend down and place it beside 0, that is, 6
  • Step 3: Using the multiplication table of 3, we know that 3 × 2 = 6. So we write 2 in the quotient and 6 below the dividend to subtract these. Subtract 6 - 6 = 0.
  • Step 4 : Now comes the decimal point in the dividend. So, place a decimal in the quotient after 12 and continue with the normal division.
  • Step 5: Bring down the next number from the dividend, that is, 9. The number to be considered now is 9.
  • Step 6: Using the multiplication table of 3, we know that 3 × 3 = 9. So we write 3 in the quotient and 9 below the dividend to subtract these. Subtract 9 - 9 = 0. Thus, remainder = 0 and quotient = 12.3. This means, 36.9 ÷ 3 = 12.3

Long Division Tips and Tricks:

Given below are a few important tips and tricks that would help you while working with long division:

  • The remainder is always smaller than the divisor.
  • For division, the divisor cannot be 0.
  • The division is repeated subtraction, so we can check our quotient by repeated subtractions as well.
  • We can verify the quotient and the remainder of the division using the division formula : Dividend = (Divisor × Quotient) + Remainder.
  • If the remainder is 0, then we can check our quotient by multiplying it with the divisor. If the product is equal to the dividend, then the quotient is correct.

☛ Related Articles

  • Long Division Formula
  • Long Division with Remainders Worksheets
  • Long Division Without Remainders Worksheets
  • Long Division with 2-digit Divisors Worksheets
  • Long Division Calculator

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Long Division Examples with Answers

Example 1: Ron planted 75 trees equally in 3 rows. Use long division to find out how many trees did he plant in each row?

The total number of trees planted by Ron = 75. The number of rows = 3. To find the number of trees in each row, we need to divide 75 by 3 because there is an equal number of trees in each of the three rows. Let us also observe how to do 2 digit by 1 digit division here.

Long Division steps for dividing 75 by 3

Therefore, the number of trees in each row = 25 trees.

Example 2: $4000 needs to be distributed among 25 men for the work completed by them at a construction site. Calculate the amount given to each man.

The total amount is $4000. The number of men at work = 25. We need to calculate the amount given to each man. To do so, we have to divide 4000 by 25 using the long division method. Let us see how to work with long division by a 2 digit number and also see how to do long division step by step.

Long Division example

Each man will be given $160. Therefore, $160 is the amount given to each man.

Example 3: State true or false with respect to long division.

a.) In the case of long division of numbers, the remainder is always smaller than the divisor.

b.) We can verify the quotient and the remainder of the division using the division formula: Dividend = (Divisor × Quotient) + Remainder.

a.) True, in the case of long division of numbers, the remainder is always smaller than the divisor.

b.) True, we can verify the quotient and the remainder of the division using the division formula: Dividend = (Divisor × Quotient) + Remainder.

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Practice Questions on Long Division

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FAQs on Long Division

What is long division in math.

Long division is a process to divide large numbers in a convenient way. The number which is divided into smaller groups is known as a dividend, the number by which we divide it is called the divisor, the value received after doing the division is the quotient, and the number left after the division is called the remainder.

The following steps explain the process of long division. This procedure is explained with examples above on this page.

  • Write the dividend and the divisor in their respective positions.
  • Take the first digit of the dividend from the left.
  • If this digit is greater than or equal to the divisor, then divide it by the divisor and write the answer on top as the quotient.
  • Write the product below the dividend and subtract the result from the dividend to get the difference. If this difference is less than the divisor, and there are no numbers left in the dividend, then this is considered to be the remainder and the division is done. However, if there are more digits in the dividend to be carried down, we continue with the same process until there are no more digits left in the dividend.

What are the Steps of Long Division?

Given below are the 5 main steps of long division. For example, let us see how we divide 52 by 2.

  • Step 1: Consider the first digit of the dividend which is 5 in this example. Here, 5 > 2. We know that 5 is not divisible by 2.
  • Step 2: We know that 2 × 2 = 4, so, we write 2 as the quotient.
  • Step 3: 5 - 4 = 1 and 1 < 2 (After writing the product 4 below the dividend, we subtract them).
  • Step 4: 1 < 2, so we bring down 2 from the dividend and we get 12 as the new dividend now.
  • Step 5: Repeat the process till the time you get a remainder less than the divisor. 12 is divisible by 2 as 2 × 6 = 12, so we write 6 in the quotient, and 12 - 12 = 0 (remainder).

Therefore, the quotient is 26 and the remainder is 0.

How to do Long Division with 2 Digits?

For long division with 2 digits, we consider both the digits of the divisor and check for the divisibility of the first two digits of the dividend. If the first 2 digits of the dividend are less than the divisor, then consider the first three digits of the dividend. Proceed with the division in the same way as we divide regular numbers. This procedure is explained with examples above on this page under the heading of 'Long Division by a 2 Digit Number'.

What is the Long Division of Polynomials?

In algebra , the long division of polynomials is an algorithm to divide a polynomial by another polynomial of the same or the lower degree. For example, (4x 2 - 5x - 21) is a polynomial that can be divided by (x - 3) following some defined rules, which will result in 4x + 7 as the quotient.

How to do Long Division with Decimals?

The long division with decimals is performed in the same way as the normal division. This procedure is explained with examples above on this page under the heading of 'How to Divide Decimals by Whole Numbers'? For more details, visit the page about dividing decimals . The basic steps of long division with decimals are given below.

  • Write the division in the standard form.
  • Start by dividing the whole number part by the divisor.
  • Place the decimal point in the quotient above the decimal point of the dividend.
  • Bring down the digits on the tenths place, i.e., the digit after the decimal.
  • Divide and bring down the other digit in sequence.
  • Divide until all the digits of the dividend are over and a number less than the divisor or 0 is obtained in the remainder.
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How to Do Long Division: Step-by-Step Instructions

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A long division problem on a blackboard

In math, few skills are as practical as knowing how to do long division . It's the art of breaking down complex problems into manageable steps, making it an essential tool for students and adults alike.

This operation has many practical uses in our daily lives. For instance, imagine you have a bag of 2,436 candies and want to share them equally among 4 friends. Long division helps you determine that each friend gets 609 candies, ensuring everyone gets their fair share.

Let's dive into the fundamentals of long division and learn about other everyday situations where we can put it to use.

What Is Long Division?

How to do long division in simple steps, long division method: an apple example, using long division in everyday life, how to divide a decimal point by a whole number, practice problems and answers.

Long division is a handy way to divide big numbers by smaller ones, helping us figure out how many times one number fits into another. It turns a tricky math problem into easier steps.

When we do long division, we work with four main parts:

  • the big number we want to divide (called the " dividend ")
  • the smaller number we're dividing by (the " divisor ")
  • the answer to our division (the " quotient ")
  • sometimes a little bit left over (the " remainder ")

Long Division vs. Short Division

Short and long division are both methods to divide numbers, but they differ in complexity. The short-division method is a quick way to find the answer when dividing simple numbers. For example, say you want to divide 36 by 6. You write it as 36 ÷ 6, using a division sign, and quickly get the answer, which is 6.

Long division is used for bigger, more complicated numbers, typically two or more digits. This method involves several steps, like writing out the numbers neatly and carefully.

Let's dive into long division with a clear example. We'll use 845 ÷ 3 to walk through this step-by-step process:

  • Set up the problem. Write the dividend (845) under the division bar and the divisor (3) outside the bar.
  • Divide. Look at the first digit of the dividend (8). How many times does 3 go into 8? Twice, because 3 x 2 = 6, and that's the closest we can get without going over. Write the 2 above the division bar, over the 8.
  • Multiply. Multiply the quotient (2) by the divisor (3). (2 x 3 = 6). Write 6 under the 8.
  • Subtract. Subtract 6 from 8 to get 2. Draw a line under the 6, subtract, and write 2 below the line.
  • Bring down the next digit. Now, bring down the next digit of the dividend, which is 4, to sit next to the 2, making 24.
  • Repeat the steps. 3 goes into 24 eight times (3 x 8 = 24), so write 8 above the bar next to the 2. Subtract 24 from 24 to get 0. Now, follow the same process you used in steps 1 through 5 and bring down the last digit, which is 5, to form 05. The number 3 goes into 5 once (3 x 1 = 3), leaving a remainder of 2. Write the 1 above the bar and the remainder 2 below after subtracting 3 from 5.
  • The final answer with a remainder. You've divided 845 by 3 to get a final answer of 281 with a remainder of 2.
  • Convert the remainder to decimal form. Depending on how far along you are in learning long division, this may be your final answer. If you've progressed to decimals, you will add .0 to 845 and put a decimal point above the division bar, right after the 1. Bring 0 down to form 20. The number 3 goes into 20 six times (3 x 6 = 18). Write 6 after the decimal point above the division bar. Normally, you would continue adding another 0 after 845. until there is no remainder, but since 20 – 18 = 2, you would be repeating this process infinitely because 3 does not divide evenly into 845. Instead, you will draw a horizontal line over the 6 in 281.6 to indicate that it is a repeating decimal. A calculator would show the answer as 281.666667 to indicate that the repeating decimal rounds up.

Now let's use a practical example to work through the long division process.

Imagine you just went apple picking and came home with a massive haul of delicious fruit. In your kitchen, you have 456 apples, and you want to share them equally among 3 baskets to give to your friends, so you're dividing 3 by 456 (456 ÷ 3).

To figure out how many apples go into each basket, you'd tackle the division problem step by step.

  • 3 goes into the first digit (4) once, so you write 1 above the division bar, above the 4 in 456. Then you show the subtraction: 4 – 3 = 1.
  • Bring down the next digit (5) to form 15. 3 goes into 15 five times (3 x 5 = 15), so you write 5 above the division bar, above the 5 in 456. Then you show the subtraction: 15 – 15 = 0.
  • Bring down the final digit (6) to form 06. 3 goes into 6 twice (3 x 2 = 6), so you write 2 above the division bar, above the 2 in 456. Then you show the subtraction: 6 – 6 = 0.
  • Since there is no remainder left to divide, you quotient is now written atop the division bar: 152. You will need to place 152 apples in each of the 3 baskets to evenly distribute the 456 apples.

Long division also pops up in real-life situations . Think about when you need to divide something, like pizza or cake, into equal parts.

Want to cut a large recipe in half or figure out how many days are left till summer vacation? Long division can help with that. It's a great way to help us figure out those splits and manage resources better.

And, of course, practicing long division sharpens our problem-solving skills . It teaches us to tackle big problems step by step, breaking them down into smaller, more manageable pieces. This approach is super helpful in math and figuring out all sorts of challenges we might face.

So, long division is more than just a bunch of steps we follow. It's a key that unlocks a lot of doors in the world of math and beyond, helping us understand and connect different concepts and apply them in all sorts of ways.

Dividing decimals by whole numbers is useful in our everyday lives. For instance, if you're splitting a sum of money equally among a certain number of people, you'll need to divide the total (a decimal) by the number of people (a whole number) to determine how much each person gets.

Dividing a decimal point (decimal number) by a whole number is similar to regular division, but you must be mindful of the placement of the decimal point. Here's how to do it:

Example : Divide 0.5 by 5.

  • Set up the problem. Begin by setting up the division, with 0.5 as the dividend (the number you're dividing, which will be under the division bar) and 5 as the divisor (the number you're dividing by, which will be to the left of the division bar).
  • Begin dividing. 5 goes into the first digit of the dividend 0 times, so you'll write 0 above the division bar, above the 0 in 0.5, and place a decimal point after the 0 you just wrote. It should be directly above the decimal point in the dividend.
  • Bring down the next digit. Bring down the 5 to form 05 (you do not bring the decimal down). 5 goes into 5 once (5 x 1 = 5), so you'll write 1 above the division bar, above the 5 in 0.5.
  • Show the final answer. When you show the subtraction (5 – 5 = 0), you'll have no remainder. This means the number above the division bar is your final answer: 0.1.

Let's put our long division skills to the test with some word problems. Tackle these problems one step at a time, and don't rush. If you get stuck, pause and review the steps. Remember, practice makes perfect, and every problem is an opportunity to improve your long-division skills.

1. Emma has 672 pieces of candy to share equally among her 4 friends. How many pieces of candy does each friend get?

Solution : To find out, divide 672 by 4. Start with the first part of 672, which is 6, and see how many times 4 can fit into it. It fits 1 time, leaving us with 2. Bringing down the 7 turns it into 27, which 4 fits into 6 times, leaving us with 3. Finally, bringing down the 2 to join the remaining 3 makes 32, which 4 divides into 8 times. So, each friend gets 168 pieces of candy.

2. A teacher has 945 stickers to distribute equally in 5 of her classes. How many stickers does each class get?

Solution : We'll divide 945 by 5. Looking at 9 first, 5 goes into it 1 time. With 4 leftover, we bring down the 4 from 945 to get 44, which 5 divides into 8 times with another 4 leftover. Lastly, bringing down the 5 to the remaining 4 makes 45, which 5 divides into 9 times. Therefore, each class receives 189 stickers.

3. A library has 2,310 books to be placed equally on 6 shelves. How many books will each shelf contain?

Solution : Divide 2,310 by 6. Starting with 23, 6 goes into it 3 times with 5 leftover. After subtracting, we bring down the 1 to get 51, which 6 divides into 8 times with 3 leftover. Bringing down the 0 to the remaining 3 gives us 30, which 6 divides into 5 times. So, each shelf will have 385 books.

This article was updated in conjunction with AI technology, then fact-checked and edited by a HowStuffWorks editor.

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Printable Division Worksheets

Division is a basic skill we use daily! The division worksheets motivate kids of grade 3, grade 4 and grade 5 and help them see the real-life benefits division skills can bring them and help build those skills. Included here are division times tables and charts, various division models, division facts, divisibility rules, timed division drills, worksheets with grid assistance, basic and advanced division, multiplication and division fact family, estimating product and quotient, division word problems and the list goes on.

List of Division Worksheets

Division Tables and Charts

Division Models

Division Facts

  • Divisibility Rule

Basic Division

  • Division Drills

Division using Grids

2-digit by 1-digit Division

3-digit by 1-digit Division

3-digit by 2-digit Division

4-digit by 1-digit Division

4-digit by 2-digit Division

Dividing Large Numbers

Division Word Problems

In and Out Boxes for Division

Multiplication and Division Fact Family

  • Estimating Products and Quotient

Explore Division Worksheets in Detail

Packed in this unit are division tables and charts featuring 1 to 16, 20, 25 and 50 times division tables presented as individual and as 5-in-1, 10-in-1, and 12-in-1 charts. Test skills with follow-up activities.

Learn four important strategies with this bundle of division models worksheets. Find division problems involving equal sharing and grouping, divide using arrays and on the number line model as well.

Emphasizing on each divisor ranging between 1 and 12, the division facts worksheets contain adequate exercises to develop skills. Learn to divide the numbers and complete the division facts.

Divisibility Rules

The divisibility rules worksheets comprise a divisibility rules chart stating the rules for divisors 2-12. Apply rules to test numbers with multiple divisors. Answer Yes/No questions, MCQs and more!

Bolster skills with this collection of 50+ basic division worksheets, comprehend the zero property, identity property, complete division sentences, unit price, repeated subtraction and compare quantities as well.

Timed Division Drills

Incorporate this package of timed division drills worksheets encompassing ample skills in dividing single and double digit numbers with and without a remainder. The number of problems vary per page.

Get acquainted with the concept of division using grids worksheets or graph paper worksheets involving dividends up to 4-digits. Grids provide assistance in solving division exercises with ease.

Utilize the 2-digit by 1-digit division worksheets to find the quotients and remainders, solve division word problems, comprehend the relationship between multiplication and division to mention a few.

The 3-digit by 1-digit division worksheets comprise a variety of standard division problems and division word problems involving remainders and no remainders, divide and check the answers as well.

This collection of 3-digit by 2-digit division worksheets features PDFs to find the quotient and remainder. Solve real-life word problems, multiply to check the answer, complete the process of division too.

Constructively engage students with this bundle of 4-digit by 1-digit division worksheets. Calculate the quotient and remainder, fill missing digits and understand the inverse property of multiplication as well.

Efficiently and accurately solve exclusive 4-digit by 2-digit division exercises offered as a mix of standard and word problems. Reaffirm division skills with this section of printable division worksheets.

Navigate through the dividing large numbers worksheets and find myriad pdfs with division problems involving multi-digit dividends by 1, 2 and 3 digit divisors and calculate the quotient and remainder.

Highlighting the application of the concept of division and brimming with real-life scenarios, this package of worksheets is a must-have for students to perform division with varied place values.

Walk through this assemblage of division worksheets with in and out boxes. Fill the out box using the rule, understand the pattern and write the rule, complete the in or out boxes involving divisors up to 20.

The ready-to-use multiplication and division fact family worksheets help comprehend the relationship between multiplication and division. Identify the members, write the four facts and a lot more.

Estimating Products and Quotients

Find a variety of estimating product and quotient worksheets to round numbers to the nearest tens and hundreds, round the leading digits to estimate the product, compare quotients and more.

Sample Worksheets

Division Tables and Charts

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Division Word Problems

videolesson.JPG

  • I have 80 matches and I will put 8 into each packet.
  • There are two numbers in this question: 80 and 8.
  • We identify the total number, which is 80.
  • We identify the number in each group, which is 8.
  • We divide the total by the number in each group to find the number of groups.
  • 80 ÷ 8 = 10 and so, we can make 10 packets.

videolesson.JPG

  • Each shirt costs $11 and I have $66.
  • We identify $66 as the total.
  • $11 is the cost of each shirt.
  • We want to know how many times 11 can go into 66.
  • 66 ÷ 11 = 6 and so, 11 goes into 66 six times.
  • We can spend $11 six times.

videolesson.JPG

  • Division by Sharing Equally
  • Multiplication Word Problems

practiseqs.JPG

Simple Division Word Problems: Interactive Questions

Simple division word problems decimals worksheets and answers.

simple division word problems worksheet pdf

How to Identify Division Word Problems

Simple division word problems.

  • Identify the numbers given in the question.
  • Identify which number is the total quantity.
  • Identify how many groups we are sharing between or how many need to go in each group.
  • Divide the total by the number of groups to find the amount in each group.
  • Or divide the total by how many needed in each group to find out how many groups can be made.

Division to see how many times does 5 go into 10

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WEATHER ALERT

3 advisories in effect for 20 regions in the area

Diabetes-related amputation problems in bexar county: how can you stay healthy, more than 13% or 280,000 people in bexar county have diabetes, according to the san antonio metropolitan health district.

Stephania Jimenez , Anchor

Adam Barraza , Photojournalist

Ken Huizar , Photojournalist

SAN ANTONIO – With a rate that surpasses the rest of the state and the country, diabetes is a known problem in Bexar County . But now that doctors are noticing more people getting amputations as a result of complications with the illness, they’re talking to KSAT about what people can do to keep their limbs.

According to the San Antonio Metropolitan Health District’s 2020 Diabetes report, more than 13% or 280,000 people in Bexar County have diabetes. Experts agree the best way to prevent complications from the illness is to eat a healthful diet, exercise regularly, check your blood sugar often, and take your medicine correctly.

Dr. John Hogg, radiologist and founder of the Medical Vein Clinic in San Antonio also recommends diabetics do two other things: check their feet and legs.

“You need to see if your legs are heavy or swelling or we see bulging veins. If you’re starting to see discoloration, a lot of people start getting...dark brown [spots]...that’s from red blood cells that have died in your leg because the veins couldn’t move them back uphill to get oxygen,” said Dr. Hogg.

Dr. Hogg says most of his patients at the Medical Vein Clinic have diabetes. So, he believes helping them avoid amputations is a key part of his job.

“The treatment is, we close that bad vein...rather than taking it out, we just get it to shrivel up. And we have you on a walking program afterward. And you generate your new pathways to existing little veins,” said Dr. Hogg.

Men are more likely than women to get amputations as a result of diabetes. That’s why the San Antonio Metropolitan Health District started something called The Diabetes Garage .

Diabetes Garage Feb. 2024 by sheath

“It uses car analogies to explain diabetes care and maintenance,” said Julius Hunter, program coordinator for Metro Health’s Diabetes Prevention and Control program.

Hunter told KSAT that The Diabetes Garage is like a club. It’s exclusively for Bexar County men. Members gather for a series of free workshops over four weeks to learn how to prevent or manage diabetes.

“What do you do when that ‘check engine’ light comes on? Usually, most people’s response is...’ well, I need to go take it to the mechanic.’ Same thing...with your body. It’s important to go and get those things checked at your doctor,” said Hunter.

To register for a workshop, click here .

ALSO ON KSAT.COM

Local doctor warns of diabetes crisis in San Antonio

Copyright 2024 by KSAT - All rights reserved.

About the Authors:

Stephania jimenez.

Stephania Jimenez is an anchor on The Nightbeat. She began her journalism career in 2006, after graduating from Syracuse University. She's anchored at NBC Philadelphia, KRIS in Corpus Christi, NBC Connecticut and KTSM in El Paso. Although born and raised in Brooklyn, Stephania considers Texas home. Stephania is bilingual! She speaks Spanish.

Adam Barraza

Adam Barraza is a photojournalist at KSAT 12 and an El Paso native. He interned at KVIA, the local ABC affiliate, while still in high school. He then moved to San Antonio and, after earning a degree from San Antonio College and the University of the Incarnate Word, started working in news. He’s also a diehard Dodgers fan and an avid sneakerhead.

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Boeing ousts head of 737 jetliner program weeks after panel blowout on a flight over Oregon

Boeing says the head of its 737 jetliner program is leaving the company in an executive shake-up weeks after a door panel blew out on a flight over Oregon, renewing questions about safety at the company. (Feb. 22)

FILE - The logo for Boeing appears on a screen above a trading post on the floor of the New York Stock Exchange, July 13, 2021. Boeing says the head of its 737 jetliner program is leaving the company immediately, paving the way for the aircraft maker to appoint new leadership at the troubled division. (AP Photo/Richard Drew, File)

FILE - The logo for Boeing appears on a screen above a trading post on the floor of the New York Stock Exchange, July 13, 2021. Boeing says the head of its 737 jetliner program is leaving the company immediately, paving the way for the aircraft maker to appoint new leadership at the troubled division. (AP Photo/Richard Drew, File)

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SEATTLE (AP) — Boeing said Wednesday that the head of its 737 jetliner program is leaving the company in an executive shake-up weeks after a door panel blew out on a flight over Oregon, renewing questions about safety at the company.

Boeing announced that Ed Clark, who had been with the company for nearly 18 years and led the 737 program since early 2021, was leaving immediately.

Clark oversaw the factory in Renton, Washington, where final assembly took place on the Alaska Airlines 737 Max 9 involved in last month’s accident. Federal investigators said bolts needed to help keep a panel called a door plug in place were missing after repair work on the plane.

Katie Ringgold, a vice president in charge of delivering 737s to airlines, will succeed Clark as vice president and general manager of the 737 program and the Renton factory, according to an email to employees from Stan Deal, the CEO of Boeing’s commercial airplanes division.

FILE - A China's Comac C919 aircraft performs during first day of Singapore Airshow in Singapore, Tuesday, Feb. 20, 2024. China’s C919 single-aisle jet made its international debut at the Singapore Airshow, attracting masses of visitors and hundreds of orders, but analysts say it still has a long way to go before it can compete with aircraft from market leaders Boeing and Airbus. (AP Photo/Vincent Thian, File)

The company announced several other appointments, including naming longtime executive Elizabeth Lund to the new position of senior vice president for commercial airplanes quality.

The moves are part of the company’s “enhanced focus on ensuring that every airplane we deliver meets or exceeds all quality and safety requirements,” Deal said in his email to staff. “Our customers demand, and deserve, nothing less.”

The blowout of a panel on the Alaska Airlines Max 9 has led to more scrutiny of Boeing by regulators, Congress and airlines.

The Federal Aviation Administration grounded all Max 9s in the U.S. for about three weeks for inspections of the emergency door panels, and the agency is limiting Boeing production until other quality concerns are resolved. FAA Administrator Mike Whitaker said Boeing is not paying enough attention to safety as it tries to build more planes to meet demand from airlines.

The CEOs of Alaska Airlines and United Airlines — the two U.S. carriers affected by the Max 9 grounding — expressed outrage and frustration with the company. They asked what Boeing intends to do about improving the quality of its manufacturing.

“We caused the problem and we understand that,” Boeing CEO David Calhoun said on Jan. 31. “We understand why they are angry and we will work to earn their confidence.”

Calhoun said the company has increased inspections in its plants and at suppliers, appointed a retired Navy admiral to review quality management, and shut down the 737 assembly line for one day so workers could discuss quality and safety.

Criticism of Boeing has reached levels not seen since the aftermath of two deadly crashes involving Max 8 jetliners in Indonesia and Ethiopia in 2018 and 2019. The crashes killed 346 people and led to the ouster of Boeing’s then-CEO.

Shares of The Boeing Co., which is based in Arlington, Virginia, closed down 1% on Wednesday. They have lost 19% — and about $27 billion in stock-market value — since the door blowout.

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Child Abuse Investigators Traumatize Families, Lawsuit Charges

Lawyers for a group of New York City parents argue that the Administration for Children’s Services uses “coercive tactics” that traumatize the families it is charged with protecting.

A woman in black looks into the camera.

By Jonah E. Bromwich and Andy Newman

A sweeping class-action lawsuit filed against New York City on Tuesday argues that the agency that investigates child abuse and neglect routinely engages in unconstitutional practices that traumatize the families it is charged with protecting.

Listen to this article with reporter commentary

Open this article in the New York Times Audio app on iOS.

The lawsuit says that investigators for the Administration for Children’s Services deceive and bully their way into people’s homes, where they riffle through families’ most private spaces, strip-search children and humiliate parents.

The agency’s “coercive tactics” include threatening to take children away or call the police, telling parents they have no choice but to let them in and making public scenes in hallways, according to the suit, filed in federal court in Brooklyn.

Marisa Kaufman, a spokeswoman for the agency, said in a statement on Monday that A.C.S. would review the lawsuit. “A.C.S. is committed to keeping children safe and respecting parents’ rights,” she said.

She added, “We will continue to advance our efforts to achieve safety, equity, and justice by enhancing parents’ awareness of their rights, connecting families to critical services, providing families with alternatives to child protection investigations, and working with key systems to reduce the number of families experiencing an unnecessary child protective investigation.”

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Eastern District Lawsuit Against New York City

One of the women suing, Ebony Gould, is a single mother of three in Queens who has been investigated by A.C.S. at least 12 times — each of them found to be baseless. The lawsuit says the investigations, which involved dozens of home visits, were prompted by her abusive ex-partner.

Ms. Gould said that often during the repeated investigations, she was made to feel she had no choice but to let A.C.S. in. During one of the first visits, she said, an A.C.S. worker told her, through the closed door, that she was at risk of having her children taken away.

“I felt forced,” she said. “It almost felt like I was being abused again, but by a stranger.”

Ms. Gould, 35, and the other plaintiffs are represented by the Family Justice Law Center, an organization dedicated to preventing unnecessary family separation. Its executive director, David Shalleck-Klein, said that the suit was not meant to stop A.C.S. investigations altogether, but to focus on illegal searches.

“They open refrigerators, inspect labels in medicine cabinets, tell children to lift up their shirts and pull down their pants,” he said. “And it’s not just a one-and-done — they frequently come back, time and time again.”

There are three legal justifications investigators can use to enter homes: court orders, emergency circumstances or voluntary consent.

The lawsuit says that the agency “chooses to almost never seek” court orders and conducts tens of thousands of searches each year in nonemergency circumstances, coercing consent and violating Fourth Amendment protections against unreasonable search and seizure.

If successful, the lawsuit would require A.C.S. to fundamentally re-envision how it investigates reports of abuse and neglect.

The agency investigates over 40,000 allegations each year. Some are genuine emergencies, and the agency has the difficult task of weighing the civil rights of families against the safety of children.

When tragedies happen, A.C.S. is frequently blamed for not having stepped in more aggressively. Those rare cases where children have died after investigators intervened minimally or not at all can make it difficult to dial back the agency’s powers.

Still, criticism of the agency has risen in recent years, especially over the stark racial disparities in its investigations . Black and Hispanic children in the city are about seven times as likely as white children to be the subject of investigations, according to state data.

While A.C.S. has reported progress in reducing “the disparities that exist at each of the stages throughout the child welfare system,” a Black child still has a nearly 50 percent chance of being caught up in an A.C.S. investigation by his or her 18th birthday, according to one of the agency’s own news releases.

Ms. Gould, who is Black, said her family has been permanently affected by its experience with A.C.S. All three of her children are now in therapy.

She said one investigator asked her 6-year-old daughter if she was suicidal. Her daughter had not previously known the word. “From that day on, she started saying — when they would come — she felt suicidal.”

One night in December 2022, when Ms. Gould’s mother was visiting from California, A.C.S. banged on her door at 3 a.m., she said.

Ms. Gould told investigators that she did not want to let them in. They threatened to come back with the authorities.

“I was shaking so bad, and my mom just started praying and then my kids are like ‘Mommy, what’s going on?’” she recalled in a recent interview.

A veteran A.C.S. employee said that when a family is resistant to home visits and the caseworker has not seen the children for a while, a night-shift caseworker is sometimes sent to assess the children. The employee spoke on condition of anonymity because they were not authorized to publicly discuss agency policy.

The plaintiffs are asking a judge to declare the agency’s tactics unconstitutional and order it to halt those practices.

In recent years, A.C.S. has worked to reduce the number of children it removes from their families and places in foster care. There were nearly 40,000 children in foster care in 1999. Now there are under 7,000.

The agency is still required to investigate every allegation of possible child abuse or neglect, and each investigation requires home visits. About 30 percent of investigations result in a finding by A.C.S. of abuse or neglect, according to city data . About one in 15 investigations lead to the child being placed in foster care.

A couple in Brooklyn who are among those suing the agency said that A.C.S. left them feeling terrorized after they were investigated in 2022. When investigators showed up at the apartment that Mathew Eng shares with his wife, Marianna Azar, and 5-year-old daughter, Mr. Eng said he panicked.

They’re going to take my daughter away, he thought.

The inquiry was prompted by an anonymous complaint that the couple say they were given only scant details about: Someone had accused them of medically neglecting their daughter.

Mr. Eng and Ms. Azar gathered doctors’ notes and other evidence to show they had not been negligent. Still, for months, different workers showed up at the family’s door, demanding to see their daughter and to inspect their home.

During the investigation, Ms. Azar underwent abdominal surgery. She was told so little about when A.C.S. might visit or what they were looking for, she said, that she declined to fill a prescription for opioids, not wanting the agency to see the drugs on her bedside table. She said she spent the first two nights after surgery in excruciating pain.

One investigator texted Ms. Azar that she was required to let A.C.S. in. Ms. Azar asked if the investigator had a warrant or court order. She was falsely told, according to the suit, that “the agency does not need a warrant or court order to complete a visit.”

Their daughter, once outgoing and cheerful, has been in therapy, her parents said, and blames herself for the investigations.

Ms. Azar explained that her daughter, Y.A. (the children in the lawsuit are identified only by initials), had been asked to write a story about the home investigations. In the story, Ms. Azar said, Y.A. had written, “I am a bad kid” and “I need to behave at school or Mommy and Daddy will be arrested.”

Ms. Azar, who is a civil servant, said she found it infuriating that her family was harmed by a city agency whose mission is to protect families. She said she often wondered while investigators were in her home, “What was happening with all the kids that actually needed your attention?”

Audio produced by Sarah Diamond .

Jonah E. Bromwich covers criminal justice in New York, with a focus on the Manhattan district attorney's office, state criminal courts in Manhattan and New York City's jails. More about Jonah E. Bromwich

Andy Newman  writes about New Yorkers facing difficult situations, including homelessness, poverty and mental illness. He has been a journalist for more than three decades. More about Andy Newman

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Course: 3rd grade   >   Unit 4

Basic division.

  • Intro to division: FAQ
  • Your answer should be
  • an integer, like 6 ‍  
  • a simplified proper fraction, like 3 / 5 ‍  
  • a simplified improper fraction, like 7 / 4 ‍  
  • a mixed number, like 1   3 / 4 ‍  
  • an exact decimal, like 0.75 ‍  
  • a multiple of pi, like 12   pi ‍   or 2 / 3   pi ‍  

High School Sports | Sierra Canyon girls basketball falls to…

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  • High School

High School Sports

High school sports | sierra canyon girls basketball falls to etiwanda in cif-ss open division final, etiwanda's hard-nosed defense and physical style create problems for sierra canyon in the 65-44 loss in the cif-ss championship game.

division problems how to

RIVERSIDE — Both the Etiwanda and Sierra Canyon girls basketball teams experienced early jitters playing in front of a large crowd at Cal Baptist University with the CIF Southern Section Open Division title on the line.

But even amidst the early nerves, when shots weren’t falling, Etiwanda stayed true to its identity of being a physical team that hustles on both sides of the court.

The 50-50 balls went Etiwanda’s way. The calls in the paint tilted in the Eagles’ favor. The hard-nosed defense led to a flurry of Sierra Canyon turnovers.

Sierra Canyon’s Jerzy Robinson #5, scores in the in the...

Sierra Canyon’s Jerzy Robinson #5, scores in the in the CIF Southern Section Open Division girls basketball championship as Etiwanda attempts to block at California Baptist University’s Fowler Events Center in Riverside on Friday, Feb. 23, 2024. (Photo by Anjali Sharif-Paul, The Sun/SCNG)

Etiwanda girls basketball team wins the CIF Southern Section Open...

Etiwanda girls basketball team wins the CIF Southern Section Open Division championship against Sierra Canyon at California Baptist University’s Fowler Events Center in Riverside on Friday, Feb. 23, 2024. (Photo by Anjali Sharif-Paul, The Sun/SCNG)

Etiwanda girls basketball team cheers after winning the CIF Southern...

Etiwanda girls basketball team cheers after winning the CIF Southern Section Open Division championship against Sierra Canyon at California Baptist University’s Fowler Events Center in Riverside on Friday, Feb. 23, 2024. (Photo by Anjali Sharif-Paul, The Sun/SCNG)

Etiwanda girls basketball team smiles big after winning the CIF...

Etiwanda girls basketball team smiles big after winning the CIF Southern Section Open Division championship against Sierra Canyon at California Baptist University’s Fowler Events Center in Riverside on Friday, Feb. 23, 2024. (Photo by Anjali Sharif-Paul, The Sun/SCNG)

Etiwanda’s Arynn Finley #2 makes a jump shot in the...

Etiwanda’s Arynn Finley #2 makes a jump shot in the CIF Southern Section Open Division girls basketball championship against Sierra Canyon at California Baptist University’s Fowler Events Center in Riverside on Friday, Feb. 23, 2024. (Photo by Anjali Sharif-Paul, The Sun/SCNG)

Etiwanda’s Mykelle Richards #22 makes her way down the court...

Etiwanda’s Mykelle Richards #22 makes her way down the court in the CIF Southern Section Open Division girls basketball championship against Sierra Canyon at California Baptist University’s Fowler Events Center in Riverside on Friday, Feb. 23, 2024. (Photo by Anjali Sharif-Paul, The Sun/SCNG)

Etiwanda’s Mykelle Richards #22 looks toward her teammate for the...

Etiwanda’s Mykelle Richards #22 looks toward her teammate for the ball in the CIF Southern Section Open Division girls basketball championship against Sierra Canyon at California Baptist University’s Fowler Events Center in Riverside on Friday, Feb. 23, 2024. (Photo by Anjali Sharif-Paul, The Sun/SCNG)

Etiwanda’s Aliyahna Morris #25 cheers after winning the CIF Southern...

Etiwanda’s Aliyahna Morris #25 cheers after winning the CIF Southern Section Open Division girls basketball championship against Sierra Canyon at California Baptist University’s Fowler Events Center in Riverside on Friday, Feb. 23, 2024. (Photo by Anjali Sharif-Paul, The Sun/SCNG)

Etiwanda’s Aliyahna Morris #25, takes the last shot of the...

Etiwanda’s Aliyahna Morris #25, takes the last shot of the CIF Southern Section Open Division girls basketball championship against Sierra Canyon at California Baptist University’s Fowler Events Center in Riverside on Friday, Feb. 23, 2024. (Photo by Anjali Sharif-Paul, The Sun/SCNG)

Sierra Canyon’s Jerzy Robinson #5, takes her shot as the...

Sierra Canyon’s Jerzy Robinson #5, takes her shot as the Etiwanda defense attempts to block during the CIF Southern Section Open Division girls basketball championship at California Baptist University’s Fowler Events Center in Riverside on Friday, Feb. 23, 2024. (Photo by Anjali Sharif-Paul, The Sun/SCNG)

Etiwanda’s Kennedy Smith #11 takes the ball down the court...

Etiwanda’s Kennedy Smith #11 takes the ball down the court as Sierra Canyon’s Jerzy Robinson #5 attempts to block during the CIF Southern Section Open Division girls basketball championship at California Baptist University’s Fowler Events Center in Riverside on Friday, Feb. 23, 2024. (Photo by Anjali Sharif-Paul, The Sun/SCNG)

Sierra Canyon’s Jerzy Robinson #5, takes her shot as the...

Sierra Canyon’s Jerzy Robinson #5, searches for a spot to shoot during the CIF Southern Section Open Division girls basketball championship against Etiwanda at California Baptist University’s Fowler Events Center in Riverside on Friday, Feb. 23, 2024. (Photo by Anjali Sharif-Paul, The Sun/SCNG)

Sierra Canyon’s Jerzy Robinson #5, searches for a spot to...

The overall physicality was the main factor in Etiwanda’s 65-44 victory of the Trailblazers Friday, leading to the program’s second CIF-SS championship in three seasons.

Sierra Canyon head coach Alicia Komaki said the game was the “worst basketball game” in her Sierra Canyon career.

“Etiwanda is always more physical than us,” she added, “they’re a physical program. That’s a staple of their program.”

After the initial few minutes passed, the Eagles started to find their rhythm on 3-pointers. Mykelle Richards hit two 3-pointers and Aliyahna Morris made one to give Etiwanda an early cushion.

The Trailblazers fought their way back in the second quarter with Mackenly Randolph and Jerzy Robinson leading the way.

The duo was able to score in the paint and even got their hands on some second-chance opportunities. Randolph had nine offensive rebounds and Robinsons had seven. But their shots were seemingly always contested.

Etiwanda’s Grace Knox and Kennedy Smith stood tall in the paint, making things difficult for Sierra Canyon all night.

Both players even took a shot to the face during the action, but they weren’t phased, as they got back up and stayed in the game.

“Me and Kennedy have good body types that we know how to use. Just be strong with our bodies,” Knox said. “And I think just being able to read what they were going to do, learning their habits and how to defend them.”

“Our goal was to come out with energy and play hard,” Smith said. “They play really hard so we had to match their energy and I think that shook them up a little bit.”

Knox led the Eagles in scoring and rebounding, logging a game-high 19 points and 12 rebounds. Smith finished with 13 points and 11 rebounds. Richards and Morris added 13 points apiece.

Robinson led Sierra Canyon 17 points and 15 rebounds. Randolph finished with 14 points and 16 rebounds.

The Trailblazers could meet the Eagles again in the CIF State Open tournament.

Going back to the 2021-22 season, the programs have exchanged Open Division championships in the Southern Section and state.

Etiwanda defeated Sierra Canyon for the CIF-SS Open title in 2022, but lost to the Trailblazers in the semifinals of the state tournament.

Sierra Canyon won the Southern Section Open crown in 2023 but lost to the Eagles in the state playoffs.

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The Knights use a big third quarter to work their way to the win.

High School Sports | Notre Dame basketball beats Windward to win first CIF-SS title since 1993

Alemany pulls away in the third overtime period to claim the CIF-SS title in a wild championship game.

High School Sports | Alemany basketball defeats Bosco Tech in 3OT to win CIF-SS 3A championship

Birmingham is the Open champion for the second time in three years as its defense finds a way to slow Westchester and Mariah Blake in the championship game.

High School Sports | Birmingham girls basketball knocks off Westchester to reclaim City Section Open title

Oak Park wins its second consecutive CIF-SS title and extends this season's win streak to 19 games.

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High school sports | oak park girls basketball overpowers cerritos in cif-ss division 3aa final.

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Forces, Ron Capps Phoenix media tour spotlights NHRA Arizona Nationals

media

Schedule updates made to big-money Pep Boys NHRA Top Fuel All-Star Callout

All-Star Callout

Applied Innovation expands Kalitta Motorsports partnership for 2024 season

Applied Innovation

Kulungian new owner at WAR Racing; Reddy Parts joins as first sponsor

WAR Racing

New National Dragster issue packed with features, preseason news, and more

Issue 2

NHRA Honors program to salute military and first responders during 2024 season

NHRA Honors

Buddy Hull and Jim Dunn Racing will fly Vertex Roofers colors in Gainesville

Jim Dunn Racing

DRAW golf tournament in Gainesville helps kick off the 2024 NHRA season

DRAW golf tournament

Scag Racing completes three-car team with acquisition of Paul Richards Racing

Dave Richards

Former NHRA official, Rockingham owner Steve Earwood gets Jeff Byrd Award

Steve Earwood

Steve Johnson awards first scholarship from his Be a Technician program

Steve Johnson

Lescure Mechanical Services to back Jim Dunn Racing, driver Buddy Hull in 2024

 Jim Dunn Racing

Millican, Parts Plus return to Rick Ware Racing for 2024 NHRA campaign

Clay Millican

GOVX and Antron Brown announce official partnership for 2024 season

Antron Brown

NHRA YES Program to take place at 21 national events, plus two Pilot Programs

 YES program

Swamp Rat Alley returns for 2024 Amalie Motor Oil NHRA Gatornationals

 Swamp Rat Alley

In Memoriam

In Memoriam

Star-studded field set for Pep Boys NHRA Top Fuel All-Star Callout in Gainesville

Top Fuel Callout

Burnyzz Speed Shop Fanfest returns as epic lead-in to Gatornationals

Burnyzz Speed Shop Fanfest

Tony Stewart hits the road to promote NHRA Gatornationals, March 7-10

Tony Stewart

GETTRX named Official Credit Card Processor of NHRA in multiyear partnership

GETTRX

Action-packed Amalie Motor Oil NHRA Gatornationals to kick off 2024 season

Amalie Motor Oil NHRA Gatornationals

National Dragster season preview issue offers a comprehensive look at 2024

Issue 1

GETTRX to continue sponsoring Matt Hartford Racing for 2024 season

Matt Hartford

Kalitta Motorsports, Mac Tools extend decades-long relationship

Doug Kalitta

Father-son dynamic duo: Billy Torrence will race full time in Top Fuel in 2024

 Billy Torrence

Austin Prock prepares for Funny Car debut

Austin Prock

Dave Richards ready to take on full schedule in Versatran/Bluebird Funny Car

Dave Richards

Phillips extends partnership with Scag Racing’s Justin Ashley

Justin Ashley

111 years ago today, Wally Parks, founder of the NHRA was born

Wally Parks

Watch the Division 4 Lucas Oil Series opener from No Problem free on NHRA.tv

Division 4 Lucas Oil Series

NHRA fans can watch the first Division 4 NHRA Lucas Oil Drag Racing Series event of the season from No Problem Raceway for free starting Friday on NHRA.tv.

Presenting sponsors of NHRA.tv Sportsman coverage from Virginia are Moser, Edelbrock, Strange, and Competition Products.

Fans are invited to create a guest account with  NHRA.tv  and will be granted free viewing access to the event.  Here's how to sign up for free .

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IMAGES

  1. How do you do division problems

    division problems how to

  2. Division Word Problems with Division Facts from 5 to 12 (A)

    division problems how to

  3. Division Worksheets Grade 4

    division problems how to

  4. Long Division Worksheets & Problems (Free Printable Math Drills)

    division problems how to

  5. 👍 Solve division problems. How to solve division problems with

    division problems how to

  6. Division Worksheets Grade 4

    division problems how to

VIDEO

  1. Long Division Review

  2. Long Division Review

  3. Problems of division ➗

  4. Long Division Review

  5. Long Division Review 1/27/2024

  6. Division with Remainders

COMMENTS

  1. 6 Ways to Do Division

    Method 1 Long Division Download Article 1 Write out the problem using a long division bar. The division bar ( 厂 ) looks like an ending parentheses attached to a horizontal line that goes over the string of numbers beneath the bar.

  2. Intro to division (article)

    Problem 1A There are a total of gumballs that will be divided evenly into groups. Problem 1B Which expression can we use to show 16 gumballs divided into 4 equal-size groups? Choose 1 answer: 4 ÷ 16 A 4 ÷ 16 16 ÷ 4 B 16 ÷ 4 16 × 4 C 16 × 4

  3. Math Antics

    Learn More at mathantics.comVisit http://www.mathantics.com for more Free math videos and additional subscription based content!

  4. How to Do Long Division: 15 Steps (with Pictures)

    Part 1 Dividing Download Article 1 Set up the equation. On a piece of paper, write the dividend (number being divided) on the right, under the division symbol, and the divisor (number doing the division) to the left on the outside. [2] The quotient (answer) will eventually go on top, right above the dividend.

  5. Division Worksheets

    The main difference is that you can't divide by 0 and get a real number. If you really want your students to impress, say at their dinner table when their parents ask them what they learned today, you can teach them that division by zero is undefined.

  6. How to Solve Division Problems

    There are three main parts to a division problem: the dividend, the divisor, and the quotient. The dividend is the number that will be divided. The divisor is the number of "people" that the number is being divided among. The quotient is the answer. How to Solve Division Problems Solving simple division problems is closely linked to multiplication.

  7. Division

    Division Division is splitting into equal parts or groups. It is the result of "fair sharing". Example: there are 12 chocolates, and 3 friends want to share them, how do they divide the chocolates? 12 Chocolates 12 Chocolates Divided by 3 Answer: 12 divided by 3 is 4. They get 4 each. Symbols ÷ /

  8. Division

    Familiar Attempted Not started Quiz Unit test About this unit Do you like breaking things apart? Then you're going to love learning about division! We'll use place value, area models, and estimation techniques to make dividing by 1-digit numbers a breeze.

  9. Division in Math

    Key takeaways Division is an opposite game - If you multiply numbers, you can "undo" them using division. It's multiplication's opposite function! There's a few signs to look for - There are three main symbols for division. You won't always get "even Stevens" - Sometimes, you'll have a little left over.

  10. Intro to division

    Quiz Unit test About this unit We all know that multiplication is just repeated addition, but what about division? Think of it as repeated subtraction! In this unit, you'll learn how to divvy up numbers with ease and expand your mathematical toolkit even further. Division intro

  11. Division for Kids

    https://www.patreon.com/homeschoolpop Learn about basic division in this math learning video for kids! You will learn what division is, how to use division ...

  12. Division ÷

    Division is often considered the most difficult of the four main arithmetic functions. This page explains how to perform division calculations. Once we have a good understanding of the method and rules, we can use a calculator for more tricky calculations without making mistakes. Division allows us to divide or 'share' numbers to find an answer.

  13. Solving Math Problems : How to Solve Division Problems

    In math division problems, there are a number of formats for determining how many times one number will go into another. Solve division problems with tips fr...

  14. Division worksheets

    Math by topic Division Division Worksheets Division worksheets for grade 3 through grade 6 Our free division worksheets start with practicing simple division facts (e.g. 10 ÷2 = 5) and progress to long division with divisors up to 99. Exercises with and without remainders and with missing divisors or dividends are included.

  15. Long Division

    Long division is a method for dividing large numbers into steps or parts, breaking the division problem into a sequence of easier steps. It is the most common method used to solve problems based on division.Observe the following long division method to see how to divide step by step and check the divisor, the dividend, the quotient, and the remainder.

  16. Division

    Division 3 Grade 3 3.52 / Division with Divisors Up to 10 3.53 / Input/Output Tables 3.58 / Division with Divisors Up to 10 3.59 / Three Digit Numbers 3.60 / Select the Rule with Input/Output Tables 3.61 / Complete the Division Sentence 3.68 / Divide Two Numbers with Divisors Up to 12 3.69 / Division with a Specific Number Up to 9 3.86 /

  17. How to Do Long Division: Step-by-Step Instructions

    Draw a line under the 6, subtract, and write 2 below the line. Bring down the next digit. Now, bring down the next digit of the dividend, which is 4, to sit next to the 2, making 24. Repeat the steps. 3 goes into 24 eight times (3 x 8 = 24), so write 8 above the bar next to the 2. Subtract 24 from 24 to get 0.

  18. Division Problems: Different Models and Examples

    1. Division Problems: Repetition This is the first type of division problem you are going to learn to do. For example: In my living room, there are 120 books in total, placed on 6 shelves. Knowing that each shelf has the same number of books, calculate how many books there are on each shelf. Find:

  19. Division Worksheets

    Find division problems involving equal sharing and grouping, divide using arrays and on the number line model as well. Division Facts. Emphasizing on each divisor ranging between 1 and 12, the division facts worksheets contain adequate exercises to develop skills. Learn to divide the numbers and complete the division facts.

  20. Intro to division

    3rd grade 14 units · 141 skills. Unit 1 Intro to multiplication. Unit 2 1-digit multiplication. Unit 3 Addition, subtraction, and estimation. Unit 4 Intro to division. Unit 5 Understand fractions. Unit 6 Equivalent fractions and comparing fractions. Unit 7 More with multiplication and division. Unit 8 Arithmetic patterns and problem solving.

  21. Division Word Problems

    To solve a division word problem, we can use the following steps: Identify the numbers given in the question. Identify which number is the total quantity. Identify how many groups we are sharing between or how many need to go in each group. Divide the total by the number of groups to find the amount in each group.

  22. How to Divide Fractions in 3 Easy Steps

    Using the keep change flip method transforms the original division problem into an equivalent multiplication problem. To multiply two fractions together, simply multiply the numerators together and then multiply the denominators together as follows: 3/7 x 1/2 = (3x1) / (7x2) = 3/14 . Notice that the result, 3/14, can not be reduced. Therefore:

  23. Diabetes-related amputation problems in Bexar County: How can you stay

    SAN ANTONIO - With a rate that surpasses the rest of the state and the country, diabetes is a known problem in Bexar County.But now that doctors are noticing more people getting amputations as a ...

  24. US divisions over Putin's Russia present grave global ...

    US politics is now split by a fault line over Russia that could have far graver global implications even than condemning Ukraine to defeat after President Vladimir Putin's invasion.

  25. Boeing ousts head of 737 jetliner program weeks after panel blowout on

    1 of 1 | . FILE - The logo for Boeing appears on a screen above a trading post on the floor of the New York Stock Exchange, July 13, 2021. Boeing says the head of its 737 jetliner program is leaving the company immediately, paving the way for the aircraft maker to appoint new leadership at the troubled division.

  26. Child Abuse Investigators Traumatize Families, Lawsuit Charges

    Lawyers for a group of New York City parents argue that the Administration for Children's Services uses "coercive tactics" that traumatize the families it is charged with protecting.

  27. Basic division (practice)

    Review related articles/videos or use a hint. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

  28. Sierra Canyon girls basketball falls to Etiwanda in CIF-SS Open

    Sierra Canyon's Jerzy Robinson #5, searches for a spot to shoot during the CIF Southern Section Open Division girls basketball championship against Etiwanda at California Baptist University's ...

  29. Watch the Division 4 Lucas Oil Series opener from No Problem ...

    NHRA fans can watch the first Division 4 NHRA Lucas Oil Drag Racing Series event of the season from No Problem Raceway for free starting Friday on NHRA.tv.

  30. UnitedHealth Cites 'Nation-State' in Hack Disrupting Pharmacies

    A cyberattack against a division of UnitedHealth Group Inc. has caused a nationwide outage of a computer network that's used to transmit data between health-care providers and insurance ...