Division Word Problems Up to 999

Division word problems up to 999 describe everyday situations, like sharing snacks, arranging seats, or packing boxes, that can be solved using division facts with a total no larger than 999. Instead of being given a division statement directly, you have to read a short story, figure out what is being shared or grouped, and then decide which numbers to divide.

These problems build directly on your division facts and on skills like writing division statements up to 999, so it helps to be comfortable turning a total and a divisor into an equation like \( 96 \div 4 = 24 \) before tackling stories.

Almost every division word problem falls into one of two categories, both covered in more depth in sharing and grouping up to 999:

• Sharing (partitive division): you know the total and the number of groups, and you need to find how many are in each group. Example: "312 stickers shared equally among 4 friends."
• Grouping (quotitive division): you know the total and the size of each group, and you need to find how many groups can be made. Example: "312 stickers packed into bags of 4, how many bags?"

Both situations use the same division fact, \( 312 \div 4 \), but they ask different questions about the answer, so reading carefully matters more than memorizing a formula.

The most important step in any division word problem is translating the sentence into numbers. Look for the total amount (this becomes the dividend) and the number that tells you how many groups or how big each group should be (this becomes the divisor). Then write the division statement before you calculate.

1. Read the problem twice and underline the total amount and the number given for groups or group size.
2. Decide whether the problem is asking for the number in each group (sharing) or the number of groups (grouping).
3. Write a division statement, such as \( 312 \div 4 \), matching the numbers you found.
4. Solve the division using place-value or long division strategies.
5. Check whether there is a remainder and decide what it means for the situation.
6. Write a full sentence answer that matches the question asked.

Problem: A teacher has 468 crayons to share equally among 6 tables. How many crayons does each table get?

The total is 468 and it is being split into 6 equal groups, so this is a sharing situation. The division statement is \( 468 \div 6 \). Dividing gives \( 468 \div 6 = 78 \). Each table gets 78 crayons.

Problem: A store has 585 apples and packs them into boxes of 9. How many boxes are needed?

Here you know the total, 585, and the size of each group, 9, and you need to find the number of groups. The division statement is \( 585 \div 9 \), which gives \( 585 \div 9 = 65 \). The store needs 65 boxes.

Problem: A club has 275 members and wants to seat them at tables of 8. How many full tables can be made, and how many members are left over?

Dividing 275 by 8 gives \( 275 \div 8 = 34 \) remainder \( 3 \). This means 34 tables can be completely filled, with 3 members left without a full table. Working with a leftover amount like this is explored further in remainders from division up to 999, since the remainder often needs an extra table, an extra box, or a rounded-up answer depending on the story.

Certain words in a word problem hint that division is the right operation to use:

When practicing division word problems up to 999, try covering the numbers first and describing the situation in your own words: is a total being split into a known number of groups, or into groups of a known size? Once you can label the problem correctly, writing the division statement and calculating the answer becomes much more reliable, whether you calculate mentally, use place-value strategies, or use long division for larger numbers.

Related lessons

• Math 3