Let’s solve each long division problem step by step. We’ll find the quotient (how many times the divisor fits) and the remainder (what’s left over).
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Problem 1: 53 ÷ 6
- 6 × 8 = 48 → too small? Let’s try 6 × 9 = 54 → too big!
- So, 6 goes into 53
8 times.
- 8 × 6 = 48
- Subtract: 53 - 48 =
5
→ Quotient = 8, Remainder = 5
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Problem 2: 86 ÷ 5
- 5 × 17 = 85 → close!
- 5 × 17 = 85
- 86 - 85 =
1
→ Quotient = 17, Remainder = 1
Wait — let’s do it properly with long division steps:
- 5 into 8 → 1 time → 1×5=5 → subtract from 8 → 3
- Bring down 6 → 36
- 5 into 36 → 7 times → 7×5=35 → subtract → 1
→ Quotient = 17, Remainder = 1
✔
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Problem 3: 76 ÷ 3
- 3 into 7 → 2 times → 2×3=6 → subtract → 1
- Bring down 6 → 16
- 3 into 16 → 5 times → 5×3=15 → subtract → 1
→ Quotient = 25, Remainder = 1
Check: 25×3 = 75 + 1 = 76
✔
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Problem 4: 92 ÷ 8
- 8 into 9 → 1 time → 1×8=8 → subtract → 1
- Bring down 2 → 12
- 8 into 12 → 1 time → 1×8=8 → subtract → 4
→ Quotient = 11, Remainder = 4
Check: 11×8 = 88 + 4 = 92
✔
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Problem 5: 751 ÷ 2
- 2 into 7 → 3 times → 3×2=6 → subtract → 1
- Bring down 5 → 15
- 2 into 15 → 7 times → 7×2=14 → subtract → 1
- Bring down 1 → 11
- 2 into 11 → 5 times → 5×2=10 → subtract → 1
→ Quotient = 375, Remainder = 1
Check: 375×2 = 750 + 1 = 751
✔
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Problem 6: 956 ÷ 7
- 7 into 9 → 1 time → 1×7=7 → subtract → 2
- Bring down 5 → 25
- 7 into 25 → 3 times → 3×7=21 → subtract → 4
- Bring down 6 → 46
- 7 into 46 → 6 times → 6×7=42 → subtract → 4
→ Quotient = 136, Remainder = 4
Check: 136×7 = 952 + 4 = 956
✔
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Problem 7: 659 ÷ 4
- 4 into 6 → 1 time → 1×4=4 → subtract → 2
- Bring down 5 → 25
- 4 into 25 → 6 times → 6×4=24 → subtract → 1
- Bring down 9 → 19
- 4 into 19 → 4 times → 4×4=16 → subtract → 3
→ Quotient = 164, Remainder = 3
Check: 164×4 = 656 + 3 = 659
✔
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Problem 8: 6619 ÷ 9
- 9 into 6 → 0 → so take 66
- 9 into 66 → 7 times → 7×9=63 → subtract → 3
- Bring down 1 → 31
- 9 into 31 → 3 times → 3×9=27 → subtract → 4
- Bring down 9 → 49
- 9 into 49 → 5 times → 5×9=45 → subtract → 4
→ Quotient = 735, Remainder = 4
Check: 735×9 = 6615 + 4 = 6619
✔
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Problem 9: 2112 ÷ 5
- 5 into 2 → 0 → take 21
- 5 into 21 → 4 times → 4×5=20 → subtract → 1
- Bring down 1 → 11
- 5 into 11 → 2 times → 2×5=10 → subtract → 1
- Bring down 2 → 12
- 5 into 12 → 2 times → 2×5=10 → subtract → 2
→ Quotient = 422, Remainder = 2
Check: 422×5 = 2110 + 2 = 2112
✔
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Problem 10: 2433 ÷ 6
- 6 into 2 → 0 → take 24
- 6 into 24 → 4 times → 4×6=24 → subtract → 0
- Bring down 3 → 3
- 6 into 3 → 0 → write 0 in quotient
- Bring down 3 → 33
- 6 into 33 → 5 times → 5×6=30 → subtract → 3
→ Quotient = 405, Remainder = 3
Check: 405×6 = 2430 + 3 = 2433
✔
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Final Answer:
1) 53 ÷ 6 → Quotient: 8, Remainder: 5
2) 86 ÷ 5 → Quotient: 17, Remainder: 1
3) 76 ÷ 3 → Quotient: 25, Remainder: 1
4) 92 ÷ 8 → Quotient: 11, Remainder: 4
5) 751 ÷ 2 → Quotient: 375, Remainder: 1
6) 956 ÷ 7 → Quotient: 136, Remainder: 4
7) 659 ÷ 4 → Quotient: 164, Remainder: 3
8) 6619 ÷ 9 → Quotient: 735, Remainder: 4
9) 2112 ÷ 5 → Quotient: 422, Remainder: 2
10) 2433 ÷ 6 → Quotient: 405, Remainder: 3
Parent Tip: Review the logic above to help your child master the concept of division with remainder worksheet 3 grade.
