Let's solve each long division problem step by step and then check the answers using multiplication.
---
1. 868 ÷ 7
Step-by-step long division:
- 7 goes into 8 once → write 1 above.
- 1 × 7 = 7
- Subtract: 8 − 7 = 1
- Bring down 6 → makes 16
- 7 goes into 16 twice → write 2
- 2 × 7 = 14
- Subtract: 16 − 14 = 2
- Bring down 8 → makes 28
- 7 goes into 28 four times → write 4
- 4 × 7 = 28
- Subtract: 28 − 28 = 0
✔ Answer: 124
Check with multiplication:
124 × 7 = ?
124 × 7 = (100×7) + (20×7) + (4×7) = 700 + 140 + 28 =
868 ✔
---
2. 825 ÷ 3
Long division:
- 3 goes into 8 twice → write 2
- 2 × 3 = 6
- Subtract: 8 − 6 = 2
- Bring down 2 → makes 22
- 3 goes into 22 seven times → write 7
- 7 × 3 = 21
- Subtract: 22 − 21 = 1
- Bring down 5 → makes 15
- 3 goes into 15 five times → write 5
- 5 × 3 = 15
- Subtract: 15 − 15 = 0
✔ Answer: 275
Check:
275 × 3 = (200×3) + (70×3) + (5×3) = 600 + 210 + 15 =
825 ✔
---
3. 927 ÷ 9
Long division:
- 9 goes into 9 once → write 1
- 1 × 9 = 9
- Subtract: 9 − 9 = 0
- Bring down 2 → makes 2
- 9 doesn't go into 2 → write 0
- Bring down 7 → makes 27
- 9 goes into 27 three times → write 3
- 3 × 9 = 27
- Subtract: 27 − 27 = 0
✔ Answer: 103
Check:
103 × 9 = (100×9) + (3×9) = 900 + 27 =
927 ✔
---
4. 726 ÷ 6
Long division:
- 6 goes into 7 once → write 1
- 1 × 6 = 6
- Subtract: 7 − 6 = 1
- Bring down 2 → makes 12
- 6 goes into 12 twice → write 2
- 2 × 6 = 12
- Subtract: 12 − 12 = 0
- Bring down 6 → makes 6
- 6 goes into 6 once → write 1
- 1 × 6 = 6
- Subtract: 6 − 6 = 0
✔ Answer: 121
Check:
121 × 6 = (100×6) + (20×6) + (1×6) = 600 + 120 + 6 =
726 ✔
---
5. 864 ÷ 8
Long division:
- 8 goes into 8 once → write 1
- 1 × 8 = 8
- Subtract: 8 − 8 = 0
- Bring down 6 → makes 6
- 8 doesn’t go into 6 → write 0
- Bring down 4 → makes 64
- 8 goes into 64 eight times → write 8
- 8 × 8 = 64
- Subtract: 64 − 64 = 0
✔ Answer: 108
Check:
108 × 8 = (100×8) + (8×8) = 800 + 64 =
864 ✔
---
6. 985 ÷ 5
Long division:
- 5 goes into 9 once → write 1
- 1 × 5 = 5
- Subtract: 9 − 5 = 4
- Bring down 8 → makes 48
- 5 goes into 48 nine times → write 9
- 9 × 5 = 45
- Subtract: 48 − 45 = 3
- Bring down 5 → makes 35
- 5 goes into 35 seven times → write 7
- 7 × 5 = 35
- Subtract: 35 − 35 = 0
✔ Answer: 197
Check:
197 × 5 = (200×5) − (3×5) = 1000 − 15 =
985 ✔
---
✔ Final Answers:
| Problem | Answer | Check (Multiplication) |
|--------|--------|------------------------|
| 1. 868 ÷ 7 |
124 | 124 × 7 = 868 |
| 2. 825 ÷ 3 |
275 | 275 × 3 = 825 |
| 3. 927 ÷ 9 |
103 | 103 × 9 = 927 |
| 4. 726 ÷ 6 |
121 | 121 × 6 = 726 |
| 5. 864 ÷ 8 |
108 | 108 × 8 = 864 |
| 6. 985 ÷ 5 |
197 | 197 × 5 = 985 |
All answers are correct and verified!
Parent Tip: Review the logic above to help your child master the concept of multiplication and long division worksheet.
