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Division Worksheets

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Division as sharing and grouping, arrays, division facts within 100, using multiplication to divide, fact families, missing numbers, timed tests and remainders.

Download the division worksheets worksheets

Division as sharing and grouping

Draw counters to share equally, circle equal groups, and read division sentences from arrays.

Division facts

Divide by 2, 5 and 10, by 3, 4 and 6, and by 7, 8 and 9, mixed facts within 100 and with the 11s and 12s, and timed tests.

Related facts and fact families

Use a multiplication fact to divide, write multiplication and division fact families, mix multiplication and division, and find missing numbers.

Division with remainders

Divide and write the quotient and the remainder. An extension for children who know their facts.

Print at 100% (actual size) for the cleanest tracing lines.

About these division worksheets worksheets

Division asks one of two questions. Sharing: 12 cookies shared equally among 3 friends, how many does each friend get? Grouping: 12 cookies put in bags of 3, how many bags? Both are 12 ÷ 3 = 4. These worksheets start with pictures for both ideas, so children know what division means before they practice the facts.

The key idea of 3rd grade division is that every division fact is a multiplication fact in disguise: to find 56 ÷ 8, ask 8 times what is 56? Pages on related facts and multiplication and division fact families build that link. Fact pages, missing number pages and timed tests then build speed, and an extension page introduces remainders.

Every page has an answer key on page 2. All pages print in black and white on US Letter or A4, and most come in two or three versions.

Standards

  • CCSS.MATH.CONTENT.3.OA.A.2Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56 ÷ 8.
  • CCSS.MATH.CONTENT.3.OA.A.4Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 × ? = 48, 5 = _ ÷ 3, 6 × 6 = ?
  • CCSS.MATH.CONTENT.3.OA.B.6Understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8.
  • CCSS.MATH.CONTENT.3.OA.C.7Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.

How to use them

  1. Start with real objects: share counters onto plates, then use Division as Sharing and Division as Grouping.
  2. Move to Division With Arrays: the array that shows 4 × 6 also shows 24 ÷ 4 and 24 ÷ 6.
  3. Use Use Multiplication to Divide every time a child is stuck on a fact. The thinking step is the strategy.
  4. Practice the facts in the same groups as multiplication: divide by 2, 5 and 10 first, then 3, 4 and 6, then 7, 8 and 9.
  5. Give Division With Remainders only when the facts are steady. It is an extension that leads into 4th grade.

Teaching tips

  • Read 20 ÷ 4 as "20 shared into 4 groups" or "how many 4s are in 20?" Both give 5.
  • Check division with multiplication: 5 × 4 = 20, so 20 ÷ 4 = 5 is right.
  • 0 divided by any number is 0, but you can never divide by 0.
  • Any number divided by 1 is itself, and any number divided by itself is 1.
  • A remainder must always be smaller than the number you divide by. If it isn't, one more group fits.

Questions teachers and parents ask

How do you explain division to a 3rd grader?

Division is sharing equally or making equal groups. 15 ÷ 3 can mean 15 things shared among 3 people (5 each) or 15 things put in groups of 3 (5 groups). Counters and drawings make both meanings easy to see.

How are multiplication and division related?

They undo each other. If 6 × 7 = 42, then 42 ÷ 7 = 6 and 42 ÷ 6 = 7. The three numbers 6, 7 and 42 make a fact family with two multiplication facts and two division facts.

Do 3rd graders learn division with remainders?

The 3rd grade standards cover division facts within 100 with no remainder. Remainders are formally taught in 4th grade, so our remainder page is an extension for children who are ready.

Are there answer keys?

Yes. Every page has an answer key on page 2 of the PDF.