Let's solve each of the long division problems step by step. I'll go through each one and show the quotient and remainder (if any).
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1. 460 ÷ 20
- 20 goes into 46 two times (2 × 20 = 40)
- Subtract: 46 - 40 = 6
- Bring down 0 → 60
- 20 goes into 60 three times (3 × 20 = 60)
- Subtract: 60 - 60 = 0
✔ Answer: 23
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2. 810 ÷ 18
- 18 goes into 81 four times (4 × 18 = 72)
- Subtract: 81 - 72 = 9
- Bring down 0 → 90
- 18 goes into 90 five times (5 × 18 = 90)
- Subtract: 90 - 90 = 0
✔ Answer: 45
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3. 989 ÷ 43
- 43 goes into 98 two times (2 × 43 = 86)
- Subtract: 98 - 86 = 12
- Bring down 9 → 129
- 43 goes into 129 three times (3 × 43 = 129)
- Subtract: 129 - 129 = 0
✔ Answer: 23
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4. 585 ÷ 13
- 13 goes into 58 four times (4 × 13 = 52)
- Subtract: 58 - 52 = 6
- Bring down 5 → 65
- 13 goes into 65 five times (5 × 13 = 65)
- Subtract: 65 - 65 = 0
✔ Answer: 45
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5. 784 ÷ 28
- 28 goes into 78 two times (2 × 28 = 56)
- Subtract: 78 - 56 = 22
- Bring down 4 → 224
- 28 goes into 224 eight times (8 × 28 = 224)
- Subtract: 224 - 224 = 0
✔ Answer: 28
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6. 830 ÷ 83
- 83 goes into 83 one time (1 × 83 = 83)
- Subtract: 83 - 83 = 0
- Bring down 0 → 0
- 83 goes into 0 zero times
✔ Answer: 10
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7. 828 ÷ 92
- 92 goes into 82 zero times → consider 828
- 92 goes into 828 nine times (9 × 92 = 828)
- Subtract: 828 - 828 = 0
✔ Answer: 9
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8. 864 ÷ 12
- 12 goes into 86 seven times (7 × 12 = 84)
- Subtract: 86 - 84 = 2
- Bring down 4 → 24
- 12 goes into 24 two times (2 × 12 = 24)
- Subtract: 24 - 24 = 0
✔ Answer: 72
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9. 510 ÷ 36
- 36 goes into 51 one time (1 × 36 = 36)
- Subtract: 51 - 36 = 15
- Bring down 0 → 150
- 36 goes into 150 four times (4 × 36 = 144)
- Subtract: 150 - 144 = 6
✔ Answer: 14 R6
(Or as a decimal: ~14.166...)
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10. 264 ÷ 44
- 44 goes into 26 zero times → consider 264
- 44 goes into 264 six times (6 × 44 = 264)
- Subtract: 264 - 264 = 0
✔ Answer: 6
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11. 819 ÷ 63
- 63 goes into 81 one time (1 × 63 = 63)
- Subtract: 81 - 63 = 18
- Bring down 9 → 189
- 63 goes into 189 three times (3 × 63 = 189)
- Subtract: 189 - 189 = 0
✔ Answer: 13
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12. 820 ÷ 10
- 10 goes into 82 eight times (8 × 10 = 80)
- Subtract: 82 - 80 = 2
- Bring down 0 → 20
- 10 goes into 20 two times (2 × 10 = 20)
- Subtract: 20 - 20 = 0
✔ Answer: 82
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✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1. 460 ÷ 20 |
23 |
| 2. 810 ÷ 18 |
45 |
| 3. 989 ÷ 43 |
23 |
| 4. 585 ÷ 13 |
45 |
| 5. 784 ÷ 28 |
28 |
| 6. 830 ÷ 83 |
10 |
| 7. 828 ÷ 92 |
9 |
| 8. 864 ÷ 12 |
72 |
| 9. 510 ÷ 36 |
14 R6 |
| 10. 264 ÷ 44 |
6 |
| 11. 819 ÷ 63 |
13 |
| 12. 820 ÷ 10 |
82 |
Let me know if you'd like these written out in long division format!
Parent Tip: Review the logic above to help your child master the concept of multiple digit division worksheet.
