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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.

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Division Tables and Charts

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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

math homework division

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

math homework division

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

math homework division

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

math homework division

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

math homework division

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

math homework division

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

math homework division

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 Worksheets ÷ Hub Page

Welcome to our Division Worksheets hub page.

Here you will find links to our many division worksheet pages, including division facts worksheets, division word problems and long division worksheets.

We also have other division resources including flashcards, division games and online division practice.

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  • This page contains links to other Math webpages where you will find a range of activities and resources.
  • If you can't find what you are looking for, try searching the site using the Google search box at the top of each page.

Division Learning

Division is often a process which kids often find quite difficult and hard to learn. Kids need to learn what division is before they start formal work on dividing numbers.

Sharing things out, such as counters, between pretend people or cuddly toys is a great way to start your child on their division journey so that they have a basic understanding of what division is. Putting counters into same-size groups is also another way to reinforce division as a model for both sharing and grouping.

When your child is confident with sharing and they have a good understanding of division, they can start learning their division facts and the long division method.

Once they have mastered long division dividing numbers by a single digit, they can start dividing numbers by 2 digits, and begin to learn to divide decimal numbers.

Quicklinks to:

Division Worksheets by Grade

  • Understanding Division
  • Online Division Practice

Division Facts Worksheets

  • Long Division Worksheets & Support
  • Dividing Negative Numbers

Division Word Problems

  • Division Resources
  • Division Games

Second Grade Division

The link below will open the 2nd-grade-math-salamanders website in a new browser window.

  • How to do Division Worksheets
  • 2nd Grade Division Problems
  • Second Grade Division Worksheets

3rd Grade Division

  • Division Facts to 10x10 Worksheets
  • Long Division Worksheets 3rd Grade
  • Division Worksheets Grade 3 Word Problems

4th Grade Division

  • Divding by Multiples of 10 and 100 Worksheets
  • 4th Grade Long Division Worksheets
  • Division Worksheets Grade 4 Word Problems

5th Grade Division

  • Decimal Division Facts
  • Long Division Worksheets (whole numbers)
  • Long Division of Decimal Numbers

Understanding Division Worksheets

Here you will find a selection of Division sheets designed to help your child improve their understanding of what division is.

The sheets introduce the idea of division in terms of sharing and grouping, and designed to be a good practical start to learning about division.

All the free math work sheets in this section are informed by the Elementary Math Benchmarks for 2nd Grade.

  • Understanding Division Sheets

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Division Flashcards

Here you will find a selection of Division Flashcards designed to help your child learn their Division facts.

Using flashcards is a great way to learn your Math facts. They can be taken on a journey, played with in a game, or used in a spare five minutes daily until your child knows their facts off by heart.

Using these flashcards will help your child to:

  • learn their division facts up to 10x10.

All the free Math flash cards in this section are informed by the Elementary Math Benchmarks for 3rd Grade.

  • Printable Math Flashcards - Division

Multiplication & Division Times Table Charts

Here you will find a selection of Multiplication/Division Times Table Charts to 10x10 or 12x12 to support your child in learning their multiplication and division facts.

There is a wide selection of multiplication charts including both color and black and white, smaller charts, filled charts and blank charts.

Using these charts will help your child to:

  • Learn their multiplication and division facts to 10x10 or 12x12;
  • Large Multiplication Chart
  • Times Tables Chart to 10x10
  • Times Table Grid to 12x12

Division Practice Area

Here is our free division practice area.

If you want to practice your division facts, or take a timed division test, then this is the place for you.

In this area, we cover the following division facts:

  • division facts up to 5x5, up to 10x10 or up to 12x12;
  • division facts linked to individual tables facts;
  • dividing by 10 and 100.
  • Division Practice Zone

Here you will find a selection of Mental Division sheets designed to help your child improve their recall of Division Facts and to apply their facts to answer related questions.

Division (and multiplication) Worksheet Generator

Here is our free generator for division (and multiplication) worksheets.

This easy-to-use generator will create randomly generated division worksheets for you to use.

Each sheet comes complete with answers if required.

The areas the generator covers includes:

  • Dividing with numbers to 5x5;
  • Dividing with numbers to 10x10;
  • Dividing with numbers to 12x12;
  • Divide with 10s e.g. 120 ÷ 4
  • Divide with 100s e.g. 2100 ÷ 3
  • Divide with tenths e.g. 2.4 ÷ 6
  • Dividing with a single times table;
  • Practicing division with selected times tables;

These generated sheets can be used in a number of ways to help your child with their division table learning.

  • Division Facts Worksheets (randomly generated)
  • Multiplication & Division Worksheets (randomly generated)

Division Facts to 10x10 Sheets (3rd & 4th Grade)

Here you will find a selection of Division sheets designed to help your child learn their Division facts up to 10x10.

Example: if a child knows that 5 x 4 = 20, then they should also know that 20 ÷ 5 = 4 and 20 ÷ 4 = 5.

The sheets are graded so that the division facts start off up to 5x5, progressing on to 10x10 by the end.

Using these sheets will help your child to:

  • understand how division and multiplication are related;
  • Printable Division Worksheets to 10x10

Division Related Facts 10s and 100s (4th & 5th Grade)

Here you will find a selection of Division sheets designed to help your child learn to use their Division facts up to 10x10 to answer related questions.

Example: if you know that 42 ÷ 6 = 7, then you also know that 420 ÷ 6 = 70 or 420 ÷ 70 = 6, etc.

The sheets are graded so that the related division facts start off easier, then get gradually harder.

  • know how to multiply and divide decimals up to 3dp by 10 or 100;
  • apply their division facts up to 10x10 to answer related questions.
  • Multiply and Divide by 10 100 (decimals)

Division Related Facts Decimals (5th & 6th Grade)

Here you will find a selection of Division sheets designed to help your child learn to use their Division facts up to 10x10 to answer related questions involving decimals.

Example: if you know that 24 ÷ 6 = 4, then you also know that 2.4 ÷ 6 = 0.4 or 2.4 ÷ 0.4 = 6, etc.

  • apply their division facts up to 10x10 to answer related questions involving decimals.

Dividing Negative Numbers (6th Grade)

We also have a generator for creating your own division worksheets involving signed integers.

You can choose the values you want and tailor the worksheets to your needs.

  • Dividing Negative Numbers (randomly generated)

Long Division Worksheets and Support

Long Division starts properly once kids reach 3rd grade, and after they have a good understanding of what division is, and know their division facts.

Here you will find long division worksheets, starting from dividing a 2 digit number by a single digit, all the way up to dividing a 3 or 4 digit number by two digits.

Long Division Support

We have created a calculator to help you master the long division method.

Just type in the dividend and divisor and let the calculator show you how to work out the long division, step-by-step.

The calculator also gives commentary to show you what is happending at each stage.

Step by step long division calculator image

  • Step by Step Long Division Calculator

Quickinks to ...

  • 3rd Grade Long Division
  • 4th Grade Long Division
  • 5th Grade Long Division
  • 6th Grade Long Division

Randomly Generated Long Division Problems Worksheet Generator

Take a look at our long division problems worksheet generators.

This generator will generate your own worksheets from 2-digits by 1-digit to 5-digits by 2-digits.

You can also create your own long division worksheets with money amounts from up to $10 by a single digit to up to $100,000 by 2-digits

You can choose to have remainders or not, and whether to record the remainders as a whole number or fraction.

  • Long Division Problems with Answers (randomly generated)
  • Long Division with Money (randomly generated)

Long Division 2 Digits by 1 Digit (3rd Grade)

Here you will find a selection of free Division sheets 3rd Grade which are designed to help your child understand how to do long division. The sheets are graded so that the easier ones are at the top.

  • divide a 2 digit number by a single digit;
  • use remainders when dividing.

Long Division 3 & 4 Digits by 1 Digit (4th Grade)

Here you will find a range of Long Division sheets which are designed to help your child master their Long Division by a single digit.

  • use long division to divide a range of numbers by a single digit.

Long Division by 2 Digits (5th Grade)

Here you will find a selection of free Division sheets designed to help your child learn to do 2 digit long division. The sheets are graded so that the easier ones are at the top.

  • divide a range of 3,4 and 5 digit numbers by two digits.
  • Long Division Worksheets - Dividing by 2 Digits

Long Division by Decimals (6th Grade)

We have some decimal division worksheets with up to 3 decimal places.

There are also some worked examples to show you how.

We have created lots of division word problems for you to solve.

The sheets involve solving division problems in a range of different contexts and involve both sharing and grouping.

These sheets involve solving a range of division problems.

Using this link will open our 2nd Grade Math Salamanders website in a new browser window.

  • 2nd Grade Division Worksheets
  • Division Sheets Grade 3 Word Problems
  • Division Sheets Grade 4 Word Problems

Fun Division Games

Here you will find a range of Free Printable Division Games.

The following games develop the Math skill of dividing in a fun and motivating way.

The following sheets will help your child to:

  • learn their Division facts;
  • develop their strategic thinking skills.

All the printable Math sheets in this section are informed by the Elementary Math Benchmarks.

  • Math Division Games

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math homework division

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

math homework division

  • 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!

math homework division

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:

math homework division

➗ — 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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math homework division

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

Parents, sign up for a DoodleMath subscription and see your child become a math wizard!

math homework division

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40 Creative Ways To Make Teaching Division Easier (and More Fun!)

It’s time to divide and conquer!

40 Creative Ways to Make Teaching Division Easier

Teaching division can be tough, especially when you start tackling larger numbers and long division. These division activities make the process easier. They help kids conceptualize and visualize, driving the concepts home. Plus, they’re a lot of fun!

(Just a heads up, WeAreTeachers may collect a share of sales from the links on this page. We only recommend items our team loves!)

1. Introduce division as sharing

Printed worksheet with two ice cream cones and pile of red poms poms representing cherries

When it comes down to it, isn’t division really just sharing? Play this simple game where kids roll dice and share out pom-pom cherries as equally as possible. It’s a great start to teaching division.

Learn more: JDaniel4’s Mom

2. Continue teaching division by reading a book or two

Collage of books about teaching division

Kids are never too old for story time. These clever books are the perfect jumping-off point for teaching division, especially if you have kids use counters like pom-poms to act out the story  as you go.

  • Divide and Ride (Murphy/Ulrich)
  • The Doorbell Rang (Hutchins)
  • The Multiplying Menace Divides (Calvert/Geehan)
  • A Remainder of One (Pinczes/MacKain)
  • Bean Thirteen (McElligott)

3. Make a model

Division models using circles on blue slips of paper

Understanding division is much easier when you lay it out as a model first. Kids break numbers into even groups, then write out the number sentence they represent.

Learn more: Tunstall’s Teaching Tidbits

4. Make division anchor charts to support learning

Collage of anchor charts for teaching division

Keep anchor charts handy while you’re teaching division to give students an easy reference when they struggle. Use these charts for inspiration:

  • Tricks to Learn Division Vocabulary, The Owl Teacher
  • Divisibility Rules, My Math Resources
  • Long Division with Sticky Notes, Caffeine Queen Teacher
  • Division Strategies, Room 330 Anchor Charts

5. Teach the Divisibility Rules

Free printable sheet showing the divisibility rules for 1 to 10

These tricks make dividing bigger numbers so much easier. Grab a free printable to share with students at the link.

Learn more: Homeschool Giveaways

6. Turn Guess Who? into Guess What?

A Guess Who? board game repurpose to practice division facts

Pick up an old Guess Who? game at the thrift store and repurpose it to make a totally fun way to practice division facts!

Learn more: Life Between Summers

7. Practice division facts with Wrap-Ups

Student wrapping yarn around Learning Wrap Ups

This division game is a fun alternative to flashcards. Kids wrap yarn around the cards from the problem on the left to the answer on the right. Then they flip over the card to see if they’re right. Buy Learning Wrap Ups Division Keys here.

8. Try teaching division with LEGO bricks

Check out this video for an easy way to introduce division concepts to your students using perennially popular LEGO bricks. (Get more LEGO math ideas here.)

9. Sort jelly beans into an egg carton

Egg carton with jellybeans in some sections

As you pave the way for understanding division, try activities where kids divide large groups of objects into smaller equal groups. Sorting jelly beans into an egg carton is one great way to do this.

Learn more: Homeschool Blog

10. Learn with licorice strings and Skittles

Student using licorice strings and Skittles to learn division

Kids always love math games that you can eat at the end! Pass out licorice strings and a bowlful of Skittles, and use them for a lesson on division.

Learn more: Tales from Outside the Classroom

11. Work on different division strategies

Division Mat worksheet in a sheet protector with markers

For kids who really struggle with the concept, try teaching division strategies using this free printable mat. It gives them a variety of ways to tackle division problems.

Learn more: Teaching With Jennifer Findley

12. Batter up for division facts

Student rolling dice to play division baseball game

Calling all sports fans! Grab this free printable baseball division game and roll the dice as you compete to see who can hit a home run.

Learn more: 123Homeschool4Me/Baseball Division Game

13. Make division flower learning aids

Paper flower with 5 in the middle, with petals show dividends of 5

An important part of learning to divide is mastering the basic division facts. These cute flowers give kids a colorful way to quiz themselves.

Learn more: Ofamily Learning Together

14. Put together Popsicle puzzles

Paper popsicle puzzles with division problems on the top and solutions on the bottom half

Snag these free printable Popsicle puzzles at the link below to give kids another fun way to practice their division facts. ( Plus, find more ways to use wood craft sticks in the classroom here. )

Learn more: 123Homeschool4Me/Popsicle Puzzles

15. Go Fish for division facts

Hands holding playing cards in front of a stack of cards

Give “Go Fish” a division spin! Instead of looking for matching pairs, players compete to find pairs of cards that divide evenly into each other. For instance, in the hand shown, the player could lay down the 8 and the 2, because they divide to make 4.

Learn more: Cuppa Cocoa

16. Win the division facts race

Toy cars with division problem cards and game board

If you’ve got a bin full of toy cars, this division practice game is for you. Grab the free printables and learn how to play at the link.

Learn more: Deceptively Educational

17. Assemble division star puzzles

Paper star with division problems and answers, cut into pieces with pair of scissors

These pretty star puzzles are deceptively tricky! Think of them as dominoes for division . Get a free full printable set at the link.

Learn more: Hojo’s Teaching Adventures

18. Fight the division dragon

Student holding division game cards featuring a sword and a dragon (Teaching Division)

Sharpen your sword and get ready to complete The Knight’s Quest! This free printable game is another engaging way to practice your division facts.

Learn more: 123Homeschool4Me/Division Dragon

19. Take a turn at Jenga

Students holding clipboards and using pencils to push wooden blocks out of a tower

It’s so fun to use Jenga in the classroom! Create a set of division facts flashcards using colored paper that matches the Jenga block colors. Kids choose a card, answer the question, and then try to remove a block of that color from the stack.

20. Play a monster board game

Monster division game with division problems in each square

Grab this free printable board to give your students practice dividing by threes. If you like it, the rest are available for purchase.

Learn more: Teacher’s Takeout

21. Roll and write number sentences

Oversized dice with Number Sentence Roll and Write worksheet (Teaching Division)

Dice are a terrific tool for teaching division number sentences. Kids simply roll two dice, then write the multiplication and division  number sentences for them. (Tip: Try using dice-in-dice to up the fun factor. Here are other fun dice-in-dice activities too!)

Learn more: Math Geek Mama/Number Sentences

22. Write the room to practice division facts

Students using pencils to write on I Spy Division worksheets on clipboards (Teaching Division)

Write the room activities get kids up and moving, which is terrific for learning. Hang these free printable cards around the room, then give kids a clipboard and answer sheet and send them off to find and solve the division facts.

Learn more: The Applicious Teacher

23. Solve a division puzzle square

Division Squares: Each row and column is a division problem. Complete the math and write the answers in the empty spaces.

These puzzling squares challenge kids to fill in the correct numbers as they try to create a division problem that works in every direction. Grab the printable at the link.

Learn more: Education.com/Puzzle Squares

24. Spin and divide

Spinning Division worksheet with spinner wheel and division problems with blanks

These free printables offer another way to practice division facts. Use a pencil and paperclip to make the spinner.

Learn more: 3 Dinosaurs

25. Draw Equation Maker games

Three sections of a white board with numbers written in each and markers on some numbers (Teaching Division)

In the first block, write a series of dividends. Write divisors in the second block and quotients in the third. Kids use markers to cover the numbers that make up a correct equation.

Learn more: Fun Games 4 Learning

26. Solve using the Does McDonald’s Serve Burgers? method

Anchor chart outlining Does (divide) McDonald's (multiply) Serve (Subtract), Burgers (Bring Down) method of long division

As you start to tackle long division, there are a variety of methods you can use. One popular option is this one, which gives kids a way to remember the steps: divide, multiply, subtract, and bring down.

Learn more: Brittany Noll-Cooper/Pinterest

27. Keep things in line with graph paper

Long division problems laid out on graph paper

This is such an easy accommodation you can make for kids who have difficulty keeping their columns straight. Simply have them lay the problems out on graph paper. (No graph paper? Turn a sheet of notebook paper sideways and use the lines to make columns.)

Learn more: Caffeine Queen Teacher/Graph Paper

28. Lay out playing cards for long division

Playing cards laid out to represent a long division problem

Here’s a fun, hands-on long division game that uses a deck of playing cards. You can start out with equations that don’t require remainders, then get more complicated as kids progress.

Learn more: Middle School Math Man

29. Work on division facts with triangle cards

Three-Corner Flash Cards (Teaching Division)

Triangle flashcards are a simple tool for teaching division and multiplication. You cover one corner with your hand, then divide if the colors don’t match or multiply if they’re the same. You can make a set of your own, or buy them on Amazon here .

30. Go on a treasure hunt

Treasure Map long division game printable worksheet

Everything is a little more fun with a treasure map! Students solve the equations and cross off the answers until only one number is left—X marks the spot!

Learn more: Education.com/Treasure Hunt

31. Use the Herding Game for teaching division with remainders

Students standing together in a taped-off square in the corner (Teaching Division)

Just when kids think they have division all figured out, along come remainders! Teaching division with remainders can be one of the trickiest tasks, so start by playing this fun and active game. For each round, the teacher calls out different groups of animals for students to form (“Form herds of 5 elephants!”). Any leftover students who don’t fit into the group go into the “holding pen,” introducing the idea of remainders.

Learn more: The Teacher Studio/The Herding Game

32. See remainders in real life with cookies

Cookie Capers division game charts

Buy a couple of bags of cookies and ask your class to find the best way to divide them up fairly. Consider whether remainder cookies can be divided to add fractions into the mix. Now that’s some delicious math!

Learn more:  The Teacher Studio/Division Cookies

33. Turn remainders into a good thing

Remainders Wanted division game worksheets with bag of markers (Teaching Division)

Make teaching remainders more fun with this game that turns them into the most wanted! The goal for each round is to wind up with the highest reminder. You’ll need dice, counters, and the free printable game sheets you can find at the link.

Learn more: Teacher Scout Mom

34. Learn to play Damult Dice Division

Three dice next to division problem 56 / 2 = 28 + 10 bonus is 38 points!

Grab three dice and a pencil and paper for this strategy game, named after the teacher who invented it. Roll three dice, and determine the division problem that gives you the highest possible quotient (rounded to the nearest whole number). You get 10 bonus points if there’s no remainder!

Learn more: Math for Love

35. Check your work

A long division problem side by side with a multiplication problem proving the work

This might seem obvious, but teach your kids to check their work by multiplying it back out again. Add in remainders at the end, and you should get the same numbers all over again.

Learn more: Stress-Free Teaching

36. Create a division house

The Division House worksheet with drawing of a house with trees and clouds (Teaching Division)

This is such a creative way of teaching division! Kids answer a series of questions to determine the specifications of their “division house.” For instance, to determine the number of windows in the house, students must divide the day of the month they were born by the number of kids in their family. When they’re done with the math, it’s time to draw their house!

Learn more: Teaching With a Mountain View

37. Batter up for long division baseball

Card showing division problem 487 divided by 7 with game worksheet

This long division game requires a little strategy, as kids roll dice and try to create problems that give them the highest possible quotient on each turn. Wrong answers count as a strike, so be careful! Learn how to play and get the free printables at the link.

Learn More: You’ve Got This Math

38. Adopt and care for pets

Pet Me Division Game

Add this super cute game to your rainy-day closet, and kids will learn and practice division without even realizing it! Get it from Amazon here.

39. Pass out play money to make teaching division meaningful

Student counting play money into piles

Money activities always grab kids’ attention because they know they can use them someday in the real world. Pull out your stack of play money and learn how to use it for teaching division at the link.

Learn more: Shut the Door and Teach

40. Use Bingo for teaching division as fractions

Bingo card showing circles divided into sections with markers on some squares (Teaching Division)

Division and fractions go hand in hand. This free printable Bingo game helps kids understand the connection between the two.

Learn more: Math Geek Mama/Division Bingo

Love these division activities? You’ll want to check out our roundup of multiplication activities too.

Plus, find out how other teachers tackle multiplication and ask for advice on the weareteachers helpline group on facebook ..

40 Creative Ways to Make Teaching Division Easier (And More Fun!)

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Write the Room Activities

15 Write the Room Activities for Reading, Math, and More

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Division Help: Improve Your Math Grades

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Most students begin studying division in 3rd grade and continue using it for the rest of their lives. Whether you're in elementary, middle or high school, understanding division is critical if you want to get good grades in math. Keep reading for tips and strategies that will make division easier.

Help With Dividing

When you divide, you're splitting a number up into groups of a certain size. The number you're dividing up is called the dividend , and the size of the groups is called the divisor . To get the quotient (the answer), you count the number of groups you've created.

To practice simple division, collect some small objects, like paper clips, coins or buttons, and use them to help you visualize problems. For example, let's say you're dividing six by two, where six is the dividend and two is the divisor (6 ÷ 2). This means that you're starting with six objects and dividing them into groups of two. If you do this, you'll end up with three groups, so the answer is three (6 ÷ 2 = 3).

Imagine that you're dividing seven by three (7 ÷ 3). You start with seven objects and try to divide them into groups of three. You can form two groups of three, but you have one item left over, which is called a remainder . The answer is two remainder one (7 ÷ 3 = 2 R1).

When you first learn to divide, you'll simply write 'R' plus the number of items in the remainder. As you get older, you'll learn to write the remainder as a mixed fraction. To do this, put the remainder over the original number of objects. For instance, 7 ÷ 3 = 2 1/7.

Multi-digit Numbers

To divide numbers with multiple digits, you'll use long division . To succeed at long division, it helps to have a good grasp of place values, as well as basic multiplication and division facts. If you're struggling with long division, you might benefit from reviewing these math topics. You'll also need to be able to estimate because long division involves some trial and error.

Another reason that some students have trouble with long division is that they find it difficult to keep their calculations organized. One way to keep your work neat is to do your long division on graph paper, putting each digit in its own box. You can also use a ruler to ensure that your numbers are lined up neatly.

Other Articles You May Be Interested In

Division can be confusing, especially when working with larger numbers. Read on to learn how to help your fifth grader remember how to divide many different lengths of numbers.

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Division Worksheets Grade 3

Students, through the division worksheets grade 3, learn the basic concept of division, division facts, and an introduction to long division, including simple division with remainder questions. Division forms one of the basic operations in arithmetic apart from addition, subtraction, and multiplication.

Benefits of 3rd Grade Division Worksheets

Through the division worksheets grade 3 students learn the arithmetic of division with single-digit numbers and double-digit numbers where a single-digit number is a divisor. Students also learn how to solve problems with unit price, determine what the divisor and dividend are, and solve word problems. The concept of division is essential for further detailed topics in mathematics. Students find it difficult and confusing to understand division, but these 3rd grade math worksheets are a great resource to learn and practice division questions.

Printable PDFs for Grade 3 Division Worksheets

Grade 3 students can download the PDF format of the 3rd grade division worksheets for thorough practice.

  • Math 3rd Grade Division Worksheet
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Division of Polynomials

Suppose you are given two polynomials, and we want to divide one polynomial by another. One method is long division, a process similar to long division of two whole numbers. I will use an example as I explain each step along the way.

Suppose we want to divide x 2 + 3x + 5 by x + 1. Setup the long division as you would do with whole numbers, with the first polynomial (called the dividend) under the long division line, and the polynomial we are dividing by (called the divisor) on the left:

$x + 1\left){\vphantom{1{{x^2} + 3x + 5}}}\right. \!\!\!\!\overline{\,\,\,\vphantom 1{{{x^2} + 3x + 5}}}$

Make sure you write the terms left to right from highest degree to lowest degree for both the dividend and the divisor.

The long division process goes as follows: Imagine taking just the highest degree term from the dividend (in our example, x2) and dividing it by the highest degree term of the divisor (in our example, x). The result is the first term of our "quotient". In our example, the result will be x. Usually, you should write the answer above the term of the same degree as the result:

$x + 1\mathop{\left){\vphantom{1{{x^2} + 3x + 5}}}\right. \!\!\!\!\overline{\,\,\,\vphantom 1{{{x^2} + 3x + 5}}}} \limits^{\displaystyle x}$

Now, take the result and multiply it by the entire divisor:

$(x)(x + 1) = {x^2} + x$

Write this result below the dividend, making sure you line up each term of the result under the term in the dividend with the same degree:

$$x + 1\mathop{\left){\vphantom{1{{x^2} + 3x + 5}}}\right. \!\!\!\!\overline{\,\,\,\vphantom 1{{{x^2} + 3x + 5}}}} \limits^{\displaystyle x}$$ $${x^2} + x$$

Now, we have to subtract our result x 2 + x from the dividend. One way to do this without losing track of signs is to reverse all the signs of the terms of our result and add like terms:

$$x + 1\mathop{\left){\vphantom{1{{x^2} + 3x + 5}}}\right. \!\!\!\!\overline{\,\,\,\vphantom 1{{{x^2} + 3x + 5}}}} \limits^{\displaystyle x}$$ $$\frac{{ - {x^2} - x}}{{2x}}$$

Note that the first term will always cancel out (and possibly others will as well). After writing what is left over, bring down the next term in the dividend that we haven't used yet:

$$x + 1\mathop{\left){\vphantom{1{{x^2} + 3x + 5}}}\right. \!\!\!\!\overline{\,\,\,\vphantom 1{{{x^2} + 3x + 5}}}} \limits^{\displaystyle x}$$ $$\underline { - {x^2} - x}$$ $$2x + 5$$

Now, we repeat the process of long division, taking the highest degree of our new polynomial (which is 2x) and dividing it by the highest degree term of the divisor (again, x); the result is 2. That is our second term of our quotient, and we write it as follows:

$$x + 1\mathop{\left){\vphantom{1{{x^2} + 3x + 5}}}\right. \!\!\!\!\overline{\,\,\,\vphantom 1{{{x^2} + 3x + 5}}}} \limits^{\displaystyle x+2}$$ $$\underline { - {x^2} - x}$$ $$2x + 5$$

As before, multiply 2 by x + 1 and write the result below 2x + 5 (lining up like terms), switch the signs, then add:

$$x + 1\mathop{\left){\vphantom{1{{x^2} + 3x + 5}}}\right. \!\!\!\!\overline{\,\,\,\vphantom 1{{{x^2} + 3x + 5}}}} \limits^{\displaystyle {x + 2}}$$ $$\underline { - {x^2} - x} $$ $$2x + 5$$ $$\underline { - 2x - 2} $$ $$3$$

We stop once we have no more terms to bring down. The result from the last step is the remainder. So the quotient is x + 2 and our remainder is 3.

It is typical to write the answer as follows:

$\frac{{{x^2} + 3x + 5}}{{x + 1}} = x + 2 + \frac{3}{{x + 1}}$

Divide the polynomials x 4 + 3x 2 - 5 and x 2 + 4x .

We first write in long division form

$${x^2} + 4x\left){\vphantom{1{{x^4} + 3{x^2} - 5}}}\right. \!\!\!\!\overline{\,\,\,\vphantom 1{{{x^4} + 3{x^2} - 5}}}$$

Next decide what we need to multiply x 2 by to get x 4 . Since x 2 * x 2 = x 4 we can write

$${x^2} + 4x\mathop{\left){\vphantom{1{{x^4} + 3{x^2} - 5}}}\right. \!\!\!\!\overline{\,\,\,\vphantom 1{{{x^4} + 3{x^2} - 5}}}} \limits^{\displaystyle {{x^2}}}$$

Next, we multiply x 2 + 7x and x 2 .

$${x^2} + 4x\mathop{\left){\vphantom{1{{x^4} + 3{x^2} - 5}}}\right. \!\!\!\!\overline{\,\,\,\vphantom 1{{{x^4} + 3{x^2} - 5}}}} \limits^{\displaystyle {{x^2}}}$$ $${x^4} + 4{x^3}$$

Now subtract to get and bring down the 3x 2 to get

$${x^2} + 4x\mathop{\left){\vphantom{1{{x^4} + 3{x^2} - 5}}}\right. \!\!\!\!\overline{\,\,\,\vphantom 1{{{x^4} + 3{x^2} - 5}}}} \limits^{\displaystyle {{x^2}}}$$ $$\underline {{x^4} + 4{x^3}}$$ $$ - 4{x^3} + 3{x^2}$$

We repeat this process until the degree of the remainder is less than the degree of the denominator.

$${x^2} + 4x\mathop{\left){\vphantom{1{{x^4} + 3{x^2} - 5}}}\right. \!\!\!\!\overline{\,\,\,\vphantom 1{{{x^4} + 3{x^2} - 5}}}} \limits^{\displaystyle {{x^2} - 4x + 19}}$$ $$\underline {{x^4} + 4{x^3}}$$ $$ - 4{x^3} + 3{x^2}$$ $$\underline { - 4{x^3} - 16{x^2}} $$ $$19{x^2}$$ $$\underline {19{x^2} + 76x - 5} $$ $$ - 76x + 5$$

Divide the polynomials x 5 + 5x 4 + 9x 3 + 11x 2 + 12x + 13 and x + 2

$$x + 2\mathop{\left){\vphantom{1{{x^5} + 5{x^4} + 9{x^3} + 11{x^2} + 12x + 13}}}\right. \!\!\!\!\overline{\,\,\,\vphantom 1{{{x^5} + 5{x^4} + 9{x^3} + 11{x^2} + 12x + 13}}}} \limits^{\displaystyle {{x^4} + 3{x^3} + 3{x^2} + 5x + 2}}$$ $$\underline {{x^5} + 2{x^4}} $$ $$3{x^4} + 9{x^3}$$ $$\underline {3{x^4} + 6{x^3}} $$ $$3{x^3} + 11{x^2}$$ $$\underline {3{x^3} + 6{x^2}} $$ $$5{x^2} + 12x$$ $$\underline {5{x^2} + 10x} $$ $$2x + 13$$ $$\underline {2x + 4} $$ $$9$$

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