Division Word Problems Up to 10

A division word problem is a short story that describes items being split into equal parts. Instead of just seeing a number sentence like \( 6 \div 3 = 2 \), you read a sentence such as "Mia has 6 stickers and wants to share them equally with 3 friends. How many stickers does each friend get?" Your job is to turn the story into a division fact and then solve it. In Math 1, these problems always use numbers up to 10, so the amounts are small and easy to check by counting or drawing pictures.

Every division word problem is really one of two ideas: sharing or grouping.

Sharing (partition): you know how many groups there are, and you need to find how many items go in each group. For example, "9 apples shared among 3 baskets" tells you there are 3 groups already, and division finds the size of each group. This is exactly the idea covered in Sharing & partition up to 10.

Grouping: you know how many items go in each group, and you need to find how many groups you can make. For example, "10 pencils, 2 in each box, how many boxes" tells you the size of each group, and division finds the number of groups. This idea is explained further in Grouping numbers up to 10.

Both situations use the same division sentence, but reading the story carefully tells you which number is the group size and which number is the total.

Word problems rarely say "divide" directly. Instead, look for phrases like these:

• "share equally," "split evenly," "distribute"
• "each," "per," "for every"
• "how many groups," "how many sets," "how many boxes"
• "how many in each," "how many are left for one"

When you see one of these phrases together with a total amount, you are almost always looking at a division word problem.

1. Read the problem and underline the total number of items.
2. Decide whether the problem gives you the number of groups (sharing) or the size of each group (grouping).
3. Write the division sentence, for example \( 8 \div 2 = 4 \).
4. Draw dots, counters, or boxes if it helps you check the answer.
5. Write your answer in a full sentence, including what is being counted.

Problem: "There are 6 oranges shared equally between 2 bags. How many oranges are in each bag?"

Here you already know there are 2 bags (2 groups), so you are sharing the total of 6 oranges between them.

\( 6 \div 2 = 3 \)

Each bag has 3 oranges. The picture below shows the 6 oranges split evenly into the 2 bags.

Problem: "A teacher has 10 pencils and puts 5 pencils in every box. How many boxes does she need?"

Here you know the size of each group (5 pencils per box), so you need to find how many boxes (groups) can be made from 10 pencils.

\( 10 \div 5 = 2 \)

She needs 2 boxes. Notice this is the flip side of Example 1: instead of finding the group size, you are finding the number of groups. If you want more practice comparing the two setups, the ideas behind splitting numbers into equal pieces are also covered step by step in Dividing with digits up to 10.

Sometimes a story problem gives a total that cannot be shared or grouped perfectly. For example, "7 crayons shared equally between 2 friends" does not divide evenly, because \( 7 \div 2 \) leaves an amount over. When a word problem leaves leftover items, it becomes a remainder problem. You can learn how to handle those leftover amounts in Remainders from division up to 10.

When a division word problem feels tricky, draw it out. Sketch small circles or squares for the total amount, then sort them one at a time into groups. Counting the picture is a reliable way to check that your division sentence, and your answer, both make sense for numbers up to 10.

Related lessons

• Math 1