Let's solve each of the
4-digit by 3-digit long division problems with remainders step by step. We'll go through each one and provide the quotient and remainder.
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1) $ 4844 \div 861 $
- $ 861 \times 5 = 4305 $
- $ 4844 - 4305 = 539 $
- $ 861 > 539 $, so stop here.
✔ Answer: 5 R 539
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2) $ 5860 \div 161 $
- $ 161 \times 36 = 5796 $
- $ 5860 - 5796 = 64 $
✔ Answer: 36 R 64
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3) $ 2389 \div 984 $
- $ 984 \times 2 = 1968 $
- $ 2389 - 1968 = 421 $
✔ Answer: 2 R 421
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4) $ 4783 \div 796 $
- $ 796 \times 5 = 3980 $
- $ 4783 - 3980 = 803 $
- $ 796 \times 6 = 4776 $
- $ 4783 - 4776 = 7 $
✔ Answer: 6 R 7
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5) $ 5741 \div 728 $
- $ 728 \times 7 = 5096 $
- $ 5741 - 5096 = 645 $
- $ 728 > 645 $, so stop.
✔ Answer: 7 R 645
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6) $ 8386 \div 557 $
- $ 557 \times 15 = 8355 $
- $ 8386 - 8355 = 31 $
✔ Answer: 15 R 31
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7) $ 2674 \div 331 $
- $ 331 \times 8 = 2648 $
- $ 2674 - 2648 = 26 $
✔ Answer: 8 R 26
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8) $ 5826 \div 448 $
- $ 448 \times 13 = 5824 $
- $ 5826 - 5824 = 2 $
✔ Answer: 13 R 2
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9) $ 1584 \div 918 $
- $ 918 \times 1 = 918 $
- $ 1584 - 918 = 666 $
- $ 918 > 666 $, so stop.
✔ Answer: 1 R 666
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10) $ 8948 \div 433 $
- $ 433 \times 20 = 8660 $
- $ 8948 - 8660 = 288 $
- $ 433 > 288 $, so stop.
✔ Answer: 20 R 288
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11) $ 8929 \div 474 $
- $ 474 \times 18 = 8532 $
- $ 8929 - 8532 = 397 $
- $ 474 > 397 $, so stop.
✔ Answer: 18 R 397
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12) $ 8187 \div 427 $
- $ 427 \times 19 = 8113 $
- $ 8187 - 8113 = 74 $
✔ Answer: 19 R 74
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##
✔ Final Answers:
| Problem | Quotient | Remainder |
|--------|----------|-----------|
| 1) | 5 | 539 |
| 2) | 36 | 64 |
| 3) | 2 | 421 |
| 4) | 6 | 7 |
| 5) | 7 | 645 |
| 6) | 15 | 31 |
| 7) | 8 | 26 |
| 8) | 13 | 2 |
| 9) | 1 | 666 |
| 10) | 20 | 288 |
| 11) | 18 | 397 |
| 12) | 19 | 74 |
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🔍 How to Check:
For any problem, use:
> Dividend = (Divisor × Quotient) + Remainder
Example:
Problem 1: $ 861 \times 5 + 539 = 4305 + 539 = 4844 $
✔
All checks work!
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🎯
Score: 12/12 — Perfect! 🎉
Let me know if you'd like a printable version or explanations for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of three digit division worksheet.
