➗ Division

Grade 4 · Number · Cambridge Primary Stage 4

Division Facts

Inverse of multiplication tables

÷10 and ÷100

Dividing by powers of ten

Short Division

Bus stop method — no remainder

With Remainders

Short division leaving a remainder

Word Problems

Applying division in real contexts

1. Division Facts (inverse of multiplication)

Division is the inverse (opposite) of multiplication. Knowing your tables means you know your division facts too!

If 6 × 7 = 42, then 42 ÷ 6 = 7 and 42 ÷ 7 = 6
Key facts:
42 ÷ 6 = 7   |   72 ÷ 8 = 9   |   56 ÷ 7 = 8
81 ÷ 9 = 9   |   96 ÷ 8 = 12   |   84 ÷ 7 = 12
💡 Think: "What do I multiply the divisor by to get this number?" 42 ÷ 6 → 6 × ? = 42 → 7

2. Dividing by 10 and 100

When you divide by 10 or 100, the digits move right.

÷ 10 → digits move 1 place right
÷ 100 → digits move 2 places right
340 ÷ 10 = 34
5,600 ÷ 100 = 56
7,000 ÷ 100 = 70
💡 Division by 10 is the reverse of multiplying by 10. Digits move right instead of left.

3. Short Division (bus stop) — No Remainder

Write the divisor outside the "bus stop" bracket and divide digit by digit from left to right.

84 ÷ 4:
  2   1
4 ) 8   4

Step 1: 8 ÷ 4 = 2
Step 2: 4 ÷ 4 = 1
Answer: 21
252 ÷ 9:
Step 1: 2 ÷ 9 = 0 r2 → carry 2
Step 2: 25 ÷ 9 = 2 r7 → carry 7
Step 3: 72 ÷ 9 = 8
Answer: 28

4. Short Division with Remainders

Sometimes a division does not share out exactly. The leftover is called the remainder.

50 ÷ 7 = 7 remainder 1   (written 7 r1)
50 ÷ 7: How many 7s fit in 50? 7×7=49. So 7 r1.
68 ÷ 5: 5×13=65, so 13 r3.
87 ÷ 4: 4×21=84, so 21 r3.
💡 Check: (quotient × divisor) + remainder = original number. 7×7+1=50 ✓

5. Word Problems

Read the problem carefully. Division is used when sharing equally or grouping.

Sharing: 48 apples shared equally among 6 baskets = 48 ÷ 6 = 8 apples each
Grouping: 100 students need to sit in rows of 8. How many full rows?
100 ÷ 8 = 12 remainder 4. So 12 full rows.
💡 When a question says "how many full groups/rows/bags", use the quotient (ignore remainder). When it says "how many needed altogether", round the quotient UP.

Example 1 — Division Fact

42 ÷ 6 = ?

Think: 6 × ? = 42
6 × 7 = 42, so 42 ÷ 6 = 7

Example 2 — Dividing by 100

5,600 ÷ 100 = ?

Digits move two places to the right.
Answer: 56

Example 3 — Short Division (no remainder)

84 ÷ 4 = ?

8 ÷ 4 = 2 (tens)   |   4 ÷ 4 = 1 (ones)
Answer: 21

Example 4 — Short Division with Remainder

50 ÷ 7 = ? Give the remainder.

7 × 7 = 49 (closest without going over)
50 − 49 = 1. So 50 ÷ 7 = 7 remainder 1

Example 5 — Word Problem

48 apples shared equally among 6 children. How many each?

48 ÷ 6 = 8 apples each

➗ Division Calculator (with steps)

🔟 Dividing by 10 and 100

📦 Grouping Visualizer

Exercise 1 — Division Facts

1. 42 ÷ 6 = ?

2. 72 ÷ 8 = ?

3. 56 ÷ 7 = ?

4. 81 ÷ 9 = ?

5. 96 ÷ 8 = ?

6. 77 ÷ 7 = ?

7. 54 ÷ 6 = ?

8. 64 ÷ 8 = ?

9. 84 ÷ 7 = ?

10. 99 ÷ 9 = ?

Exercise 2 — Dividing by 10 and 100

1. 340 ÷ 10 = ?

2. 5,600 ÷ 100 = ?

3. 7,000 ÷ 100 = ?

4. 4,500 ÷ 100 = ?

5. 230 ÷ 10 = ?

6. 8,000 ÷ 100 = ?

7. 670 ÷ 10 = ?

8. 1,200 ÷ 100 = ?

9. 4,000 ÷ 100 = ?

10. 890 ÷ 10 = ?

Exercise 3 — Short Division (no remainder)

1. 84 ÷ 4 = ?

2. 96 ÷ 3 = ?

3. 128 ÷ 4 = ?

4. 144 ÷ 6 = ?

5. 168 ÷ 7 = ?

6. 252 ÷ 9 = ?

7. 312 ÷ 6 = ?

8. 405 ÷ 5 = ?

9. 432 ÷ 8 = ?

10. 504 ÷ 7 = ?

Exercise 4 — Remainders (give the remainder only)

1. 50 ÷ 7 = ? r give remainder

2. 68 ÷ 5 = ? r give remainder

3. 87 ÷ 4 = ? r give remainder

4. 100 ÷ 7 = ? r give remainder

5. 53 ÷ 4 = ? r give remainder

6. 71 ÷ 6 = ? r give remainder

7. 83 ÷ 5 = ? r give remainder

8. 97 ÷ 8 = ? r give remainder

9. 100 ÷ 9 = ? r give remainder

10. 67 ÷ 3 = ? r give remainder

Exercise 5 — Word Problems

1. 48 apples shared equally among 6 children. How many each?

2. 72 biscuits put into bags of 9. How many bags?

3. 84 chairs arranged in rows of 4. How many rows?

4. 100 pupils divided into groups of 8. How many complete groups?

5. 120 stickers shared equally among 5 friends. How many each?

6. 168 pages read equally over 7 days. How many pages per day?

7. 252 sweets packed in bags of 9. How many bags?

8. 43 eggs put in boxes of 5. How many full boxes?

9. 81 ÷ 9 = ?

10. 96 ÷ 8 = ?

🏋️ Practice — 20 Questions

1. 42 ÷ 6 = ?

2. 72 ÷ 8 = ?

3. 56 ÷ 7 = ?

4. 81 ÷ 9 = ?

5. 96 ÷ 8 = ?

6. 340 ÷ 10 = ?

7. 5,600 ÷ 100 = ?

8. 7,000 ÷ 100 = ?

9. 84 ÷ 4 = ?

10. 96 ÷ 3 = ?

11. 128 ÷ 4 = ?

12. 144 ÷ 6 = ?

13. 50 ÷ 7 remainder = ?

14. 68 ÷ 5 remainder = ?

15. 87 ÷ 4 remainder = ?

16. 100 ÷ 7 remainder = ?

17. 48 ÷ 6 = ?

18. 72 ÷ 9 = ?

19. 84 ÷ 4 = ?

20. 100 complete groups when 100 ÷ 8 = ?

🏆 Challenge — 8 Questions

1. 96 ÷ 8 = ?

2. 168 ÷ 7 = ?

3. 504 ÷ 7 = ?

4. 144 ÷ 6 = ?

5. 100 ÷ 9 remainder = ?

6. 252 ÷ 9 = ?

7. 432 ÷ 8 = ?

8. 99 ÷ 9 = ?