Division Word Problems
Grade 3 · Math · Study Guide
Learn how to recognize and solve division word problems by sharing equally and making equal groups.
Division is what you use when you need to share something equally or split things into equal groups. If you have 24 cookies and want to share them equally among 6 friends, you need division: 24 ÷ 6 = 4 cookies each.
There are two ways to think about division. The first is sharing (partition): split a total into a certain number of equal groups and find the size of each group. 24 cookies shared among 6 friends — how many per friend?
The second is grouping (measurement): split a total into groups of a certain size and find how many groups. 24 cookies put into bags of 4 — how many bags?
Key words that signal division: "share equally," "split," "each," "per," "how many groups," "divide." To solve, write a division number sentence: total ÷ number of groups = amount per group. Always check by multiplying: if 24 ÷ 6 = 4, then 6 × 4 should equal 24.
Key terms
- Dividend
- The total being divided. In 24 ÷ 6 = 4, the dividend is 24.
- Divisor
- The number you divide by — the number of groups or size of each group.
- Quotient
- The answer to a division problem. In 24 ÷ 6 = 4, the quotient is 4.
- Equal sharing
- Dividing a total into groups that all have the same amount.
- Inverse operations
- Operations that undo each other. Multiplication and division are inverse operations.
Flashcards
- Dividend
- The total you are splitting up.
- Divisor
- How many groups (or size of each group).
- Quotient
- The answer to a division problem.
- Check division with multiplication
- Quotient × divisor should equal dividend.
- 24 ÷ 8 = ?
- 3 — check: 3 × 8 = 24 ✓
- Key word: equally
- Signals division — share out so everyone gets the same.
Practice questions
30 students are split into 5 equal teams. How many students are on each team?
- 5
- 6
- 7
- 8
Show answer
Answer: 6
30 ÷ 5 = 6 students per team. Check: 5 × 6 = 30.
A baker has 36 muffins and packs 4 in each box. How many boxes does she need?
- 9
- 8
- 6
- 4
Show answer
Answer: 9
36 ÷ 4 = 9 boxes. Check: 9 × 4 = 36.
Division can be checked by multiplying the quotient by the divisor.
Show answer
Answer: True
Division and multiplication are inverse operations: quotient × divisor = dividend.
28 apples shared equally among 7 children: each child gets ___ apples.
Show answer
Answer: 4
28 ÷ 7 = 4. Check: 7 × 4 = 28.
48 crayons are divided into 6 equal boxes. How many crayons per box?
- 6
- 7
- 8
- 9
Show answer
Answer: 8
48 ÷ 6 = 8. Check: 6 × 8 = 48.
Fun facts
- Division is just multiplication in reverse! That's why knowing your times tables makes division so much easier.
- Ancient Romans used the word "dividere" meaning "to force apart" — that's where the English word division comes from!
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