Division as Sharing and Equal Groups Worksheets

Quick answer: Division as sharing means splitting a number into equal groups, such as 12 cookies shared among 3 children, and division as equal groups means counting how many groups you can make. This page has 5 free printable worksheets with answer keys for grades 2 and 3. Updated October 2026.

What division means

Division answers two kinds of question. Sharing: 12 cookies shared by 3 children, how many each? Grouping: 12 cookies in bags of 3, how many bags? Both are written 12 ÷ 3 = 4. These worksheets use pictures so children see both ideas before they learn division facts.

What is on this page

• Equal groups: the dots are already shared into groups. Children write the total, the number of groups and how many are in each.
• Arrays: a total arranged in rows. The number in each row is the answer.
• Easy division facts dividing by 2, 3, 4 and 5.
• Sharing stories to draw and solve.

Teaching tips

• Share real objects first, one at a time into each group, “one for you, one for you”.
• Link to multiplication: 3 groups of 4 is 12, so 12 ÷ 3 = 4.
• Say both readings: “12 divided by 3” and “12 shared into 3 groups”.

Division as sharing and equal groups worksheets: what is in the set

There are 5 division as sharing and equal groups worksheets on this page, and every one has an answer key except for any cut-out games. The first two sets use pictures of groups, the next ones use arrays and the first facts, and the last one has story problems.

Division as sharing and equal groups: the two meanings

Division as sharing and equal groups has two meanings, and children need both. In sharing, the number of groups is known and the question is how many are in each. In grouping, the size of each group is known and the question is how many groups can be made. Both are written with the same division, and both have the same answer. This table shows four problems, each as a sharing story and as a grouping story:

The Common Core standard for this idea is 3.OA.A.2, which asks children to interpret a quotient as the number of objects in each share or as the number of shares. The Common Core standards for grade 3 operations and algebraic thinking describe it, and Wikipedia’s article on division explains how the two meanings are related.

Division equal groups worksheets: how many ways can you share?

Division equal groups worksheets use totals that can be shared equally. Some totals can be shared in many ways, and others in only a few. A total can be shared equally among any number of groups that is a factor of the total. The table lists eight totals, with the groups that work:

Twelve is a popular number for teaching because it has six ways. A total such as 7 or 13 can only be shared among 1 group or among itself, which is why it is called a prime number. The division facts to 100 page uses the same ideas for the division facts.

Totals that share equally among 2, 3, 4 and 5 groups

When children share among 2, 3, 4 or 5 groups, only some totals work. This table shows the totals from 1 to 30 that share equally with each number of groups:

Half of the totals can be shared among 2, because they are the even numbers, and one in five can be shared among 5. This is a good first look at the idea of a multiple, and it shows why sharing among 2 is easy: the answer is half.

Division arrays worksheets: the shapes of a number

Division arrays worksheets show a total as rows of dots. Each way to arrange the dots in equal rows gives a division, and turning the array gives another. For example, 12 dots can be 3 rows of 4 or 4 rows of 3. The table shows the arrays for six totals:

A prime number has only one array, a single row, so it cannot be divided equally in any other way. The primes below 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. The array worksheet asks children to write both divisions for each picture.

Introduction to division worksheets: dealing out the objects

An introduction to division worksheets should begin with dealing. Children share objects one at a time, “one for you, one for you, one for you”, until the objects are used up. The number of rounds of dealing is the answer, because each round gives one object to every group. The table shows six examples:

3rd grade division worksheets: the first facts

The first facts in 3rd grade division worksheets are the divisions by 2, 3, 4 and 5. There are 10 facts for each divisor, so 40 in all. The easy facts worksheet uses 24 of them. This table lists the first five facts for each divisor:

These are the same as the 2, 3, 4 and 5 times tables, in reverse. A child who knows 4 × 6 = 24 also knows 24 ÷ 4 = 6, so the times tables worksheets help with division.

The words of division

Children also need the language of division. These words are used on the worksheets and in textbooks, and they should be used in conversation with children as soon as they are ready:

When the groups are not equal: a first look at leftovers

Not every total can be shared equally. When 13 objects are shared among 3 groups, each group gets 4 and 1 is left over. Of the totals from 1 to 20, 14 do not share equally among 3. These leftovers lead to the page on division with remainders. For a first look, here are six totals:

Common mistakes with division as sharing and equal groups

These are the mistakes that teachers see most often with the first division worksheets:

Division as sharing and equal groups word problems

Story problems are the main way to teach division as sharing and equal groups. Ask children to say whether they are sharing or grouping, and to draw the groups:

Games and activities for division as sharing and equal groups

Children learn division as sharing and equal groups best when they play with it. These games use things that are found at home or in a classroom:

• Fair shares: give two children 8 crackers and let them find a way to share them equally
• Dealing cards: deal a pack of cards among 2, 3 or 4 players and see if any are left
• Make teams: divide a class into equal teams of 2, 3 or 4, and say the division sentence
• Egg carton arrays: put counters in an egg carton and say the arrays that can be made
• Bags of treats: put 12 treats into bags of 3, and then into bags of 4
• Division stories: let children make up a sharing story and a grouping story for 12 ÷ 3

Extra support and extra challenge with division as sharing and equal groups

For children who need more support: use real objects and let the child share them. Do not use the sign ÷ until the child can explain what is happening. Start with 2 groups, which is the easiest, and then 3 and 4. Use the picture worksheets before the fact worksheets.

For children who need more challenge: ask the child to find all the ways to share 24 equally, to explain why 13 cannot be shared equally, and to make up a story for 20 ÷ 5. The array worksheet can be extended by asking for both divisions for each array.

How to tell that a child is ready to move on from division as sharing and equal groups

1. The child shares objects equally among 2, 3, 4 and 5 groups.
2. The child can say whether a story is sharing or grouping.
3. The child writes the division sentence from an array.
4. The child knows the division facts for 2 and 5 from memory.

When all four are true, move on to division facts to 100, where the facts are extended to 10 × 10.

A 20-minute lesson on division as sharing and equal groups

A short lesson is the best way to introduce division as sharing and equal groups. This 20-minute plan can be used in a classroom, at a tutoring session or at home, and it uses the worksheets at the end:

Where division as sharing and equal groups fits across the grades

No skill stands alone. This table shows what children learn before and after division as sharing and equal groups, with the standard that goes with each step:

This page is the first step. The whole sequence is on the division worksheets page.

Helping at home with division as sharing and equal groups

Parents do not need to be experts to help with division as sharing and equal groups. These suggestions work well, and each takes only a few minutes:

• Share snacks equally and ask “how many does each person get?” before eating.
• Set the table: 12 forks for 4 plates means 3 forks each.
• Deal a deck of cards and say the division, such as 52 cards among 4 players.
• Ask the child to make groups of 2, 3 or 5 from a handful of coins.
• Check the answers with multiplication, and praise the drawing as well as the number.

How to check progress in division as sharing and equal groups

A teacher or parent can check progress with the answer key and a few questions. This table shows three common situations, what they mean and what to do next:

A five-day plan for division as sharing and equal groups

Most children need about a week of short sessions for division as sharing and equal groups. This plan follows the order of the worksheets on this page:

When the plan is complete, move on to division facts to 100. The whole sequence is on the division worksheets page.

Division worksheets grade 3: what the standards ask

Division worksheets grade 3 and 3rd grade division worksheets cover three standards from the Common Core operations and algebraic thinking domain:

This page is also searched as grade 3 division worksheets, division practice 3rd grade, free division worksheets grade 3, division 3rd grade worksheet and division worksheet grade 3. All are the free PDFs above. Long division worksheets grade 3 are not part of third grade: long division starts in grade 4, so use our long division worksheets page when your child is ready.