Long Division (4-Digit Divided by 1-Digit) worksheet for finding quotients, no remainders.
Long division worksheet with 12 problems, each involving a 4-digit number divided by a 1-digit number, designed for practice without remainders.
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Step-by-step solution for: Long Division Worksheets & Problems (Free Printable Math Drills ...
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Show Answer Key & Explanations
Step-by-step solution for: Long Division Worksheets & Problems (Free Printable Math Drills ...
Let’s solve each long division problem step by step. Remember: we’re dividing a 4-digit number by a 1-digit number, and there are no remainders — so every answer will be a whole number.
We’ll go one problem at a time.
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Problem 1: 8142 ÷ 6
- 6 goes into 8 once → write 1 above the 8.
- 1 × 6 = 6 → subtract from 8 → remainder 2.
- Bring down 1 → makes 21.
- 6 goes into 21 three times → 3 × 6 = 18 → subtract → remainder 3.
- Bring down 4 → makes 34.
- 6 goes into 34 five times → 5 × 6 = 30 → subtract → remainder 4.
- Bring down 2 → makes 42.
- 6 goes into 42 seven times → 7 × 6 = 42 → subtract → 0.
✔ Answer: 1357
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Problem 2: 3505 ÷ 5
- 5 into 3? No → look at 35.
- 5 into 35 is 7 → write 7 above the 5 (tens place of 35).
- 7 × 5 = 35 → subtract → 0.
- Bring down 0 → 0 ÷ 5 = 0 → write 0.
- Bring down 5 → 5 ÷ 5 = 1 → write 1.
✔ Answer: 701
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Problem 3: 8640 ÷ 6
- 6 into 8 → 1 → 1×6=6 → subtract → 2.
- Bring down 6 → 26.
- 6 into 26 → 4 → 4×6=24 → subtract → 2.
- Bring down 4 → 24.
- 6 into 24 → 4 → 4×6=24 → subtract → 0.
- Bring down 0 → 0 ÷ 6 = 0.
✔ Answer: 1440
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Problem 4: 8202 ÷ 2
Easy! Divide each digit by 2:
- 8 ÷ 2 = 4
- 2 ÷ 2 = 1
- 0 ÷ 2 = 0
- 2 ÷ 2 = 1
✔ Answer: 4101
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Problem 5: 1804 ÷ 4
- 4 into 1? No → 18.
- 4 into 18 → 4 → 4×4=16 → subtract → 2.
- Bring down 0 → 20.
- 4 into 20 → 5 → 5×4=20 → subtract → 0.
- Bring down 4 → 4 ÷ 4 = 1.
✔ Answer: 451
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Problem 6: 2271 ÷ 3
- 3 into 2? No → 22.
- 3 into 22 → 7 → 7×3=21 → subtract → 1.
- Bring down 7 → 17.
- 3 into 17 → 5 → 5×3=15 → subtract → 2.
- Bring down 1 → 21.
- 3 into 21 → 7 → 7×3=21 → subtract → 0.
✔ Answer: 757
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Problem 7: 8130 ÷ 5
- 5 into 8 → 1 → 1×5=5 → subtract → 3.
- Bring down 1 → 31.
- 5 into 31 → 6 → 6×5=30 → subtract → 1.
- Bring down 3 → 13.
- 5 into 13 → 2 → 2×5=10 → subtract → 3.
- Bring down 0 → 30.
- 5 into 30 → 6 → 6×5=30 → subtract → 0.
✔ Answer: 1626
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Problem 8: 4088 ÷ 7
- 7 into 4? No → 40.
- 7 into 40 → 5 → 5×7=35 → subtract → 5.
- Bring down 8 → 58.
- 7 into 58 → 8 → 8×7=56 → subtract → 2.
- Bring down 8 → 28.
- 7 into 28 → 4 → 4×7=28 → subtract → 0.
✔ Answer: 584
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Problem 9: 7210 ÷ 7
- 7 into 7 → 1 → 1×7=7 → subtract → 0.
- Bring down 2 → 2 ÷ 7 = 0 → write 0.
- Bring down 1 → 21.
- 7 into 21 → 3 → 3×7=21 → subtract → 0.
- Bring down 0 → 0 ÷ 7 = 0.
✔ Answer: 1030
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Problem 10: 3730 ÷ 2
- 2 into 3 → 1 → 1×2=2 → subtract → 1.
- Bring down 7 → 17.
- 2 into 17 → 8 → 8×2=16 → subtract → 1.
- Bring down 3 → 13.
- 2 into 13 → 6 → 6×2=12 → subtract → 1.
- Bring down 0 → 10.
- 2 into 10 → 5 → 5×2=10 → subtract → 0.
✔ Answer: 1865
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Problem 11: 3408 ÷ 8
- 8 into 3? No → 34.
- 8 into 34 → 4 → 4×8=32 → subtract → 2.
- Bring down 0 → 20.
- 8 into 20 → 2 → 2×8=16 → subtract → 4.
- Bring down 8 → 48.
- 8 into 48 → 6 → 6×8=48 → subtract → 0.
✔ Answer: 426
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Problem 12: 7614 ÷ 9
- 9 into 7? No → 76.
- 9 into 76 → 8 → 8×9=72 → subtract → 4.
- Bring down 1 → 41.
- 9 into 41 → 4 → 4×9=36 → subtract → 5.
- Bring down 4 → 54.
- 9 into 54 → 6 → 6×9=54 → subtract → 0.
✔ Answer: 846
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Final Answer:
1) 1357
2) 701
3) 1440
4) 4101
5) 451
6) 757
7) 1626
8) 584
9) 1030
10) 1865
11) 426
12) 846
We’ll go one problem at a time.
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Problem 1: 8142 ÷ 6
- 6 goes into 8 once → write 1 above the 8.
- 1 × 6 = 6 → subtract from 8 → remainder 2.
- Bring down 1 → makes 21.
- 6 goes into 21 three times → 3 × 6 = 18 → subtract → remainder 3.
- Bring down 4 → makes 34.
- 6 goes into 34 five times → 5 × 6 = 30 → subtract → remainder 4.
- Bring down 2 → makes 42.
- 6 goes into 42 seven times → 7 × 6 = 42 → subtract → 0.
✔ Answer: 1357
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Problem 2: 3505 ÷ 5
- 5 into 3? No → look at 35.
- 5 into 35 is 7 → write 7 above the 5 (tens place of 35).
- 7 × 5 = 35 → subtract → 0.
- Bring down 0 → 0 ÷ 5 = 0 → write 0.
- Bring down 5 → 5 ÷ 5 = 1 → write 1.
✔ Answer: 701
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Problem 3: 8640 ÷ 6
- 6 into 8 → 1 → 1×6=6 → subtract → 2.
- Bring down 6 → 26.
- 6 into 26 → 4 → 4×6=24 → subtract → 2.
- Bring down 4 → 24.
- 6 into 24 → 4 → 4×6=24 → subtract → 0.
- Bring down 0 → 0 ÷ 6 = 0.
✔ Answer: 1440
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Problem 4: 8202 ÷ 2
Easy! Divide each digit by 2:
- 8 ÷ 2 = 4
- 2 ÷ 2 = 1
- 0 ÷ 2 = 0
- 2 ÷ 2 = 1
✔ Answer: 4101
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Problem 5: 1804 ÷ 4
- 4 into 1? No → 18.
- 4 into 18 → 4 → 4×4=16 → subtract → 2.
- Bring down 0 → 20.
- 4 into 20 → 5 → 5×4=20 → subtract → 0.
- Bring down 4 → 4 ÷ 4 = 1.
✔ Answer: 451
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Problem 6: 2271 ÷ 3
- 3 into 2? No → 22.
- 3 into 22 → 7 → 7×3=21 → subtract → 1.
- Bring down 7 → 17.
- 3 into 17 → 5 → 5×3=15 → subtract → 2.
- Bring down 1 → 21.
- 3 into 21 → 7 → 7×3=21 → subtract → 0.
✔ Answer: 757
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Problem 7: 8130 ÷ 5
- 5 into 8 → 1 → 1×5=5 → subtract → 3.
- Bring down 1 → 31.
- 5 into 31 → 6 → 6×5=30 → subtract → 1.
- Bring down 3 → 13.
- 5 into 13 → 2 → 2×5=10 → subtract → 3.
- Bring down 0 → 30.
- 5 into 30 → 6 → 6×5=30 → subtract → 0.
✔ Answer: 1626
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Problem 8: 4088 ÷ 7
- 7 into 4? No → 40.
- 7 into 40 → 5 → 5×7=35 → subtract → 5.
- Bring down 8 → 58.
- 7 into 58 → 8 → 8×7=56 → subtract → 2.
- Bring down 8 → 28.
- 7 into 28 → 4 → 4×7=28 → subtract → 0.
✔ Answer: 584
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Problem 9: 7210 ÷ 7
- 7 into 7 → 1 → 1×7=7 → subtract → 0.
- Bring down 2 → 2 ÷ 7 = 0 → write 0.
- Bring down 1 → 21.
- 7 into 21 → 3 → 3×7=21 → subtract → 0.
- Bring down 0 → 0 ÷ 7 = 0.
✔ Answer: 1030
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Problem 10: 3730 ÷ 2
- 2 into 3 → 1 → 1×2=2 → subtract → 1.
- Bring down 7 → 17.
- 2 into 17 → 8 → 8×2=16 → subtract → 1.
- Bring down 3 → 13.
- 2 into 13 → 6 → 6×2=12 → subtract → 1.
- Bring down 0 → 10.
- 2 into 10 → 5 → 5×2=10 → subtract → 0.
✔ Answer: 1865
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Problem 11: 3408 ÷ 8
- 8 into 3? No → 34.
- 8 into 34 → 4 → 4×8=32 → subtract → 2.
- Bring down 0 → 20.
- 8 into 20 → 2 → 2×8=16 → subtract → 4.
- Bring down 8 → 48.
- 8 into 48 → 6 → 6×8=48 → subtract → 0.
✔ Answer: 426
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Problem 12: 7614 ÷ 9
- 9 into 7? No → 76.
- 9 into 76 → 8 → 8×9=72 → subtract → 4.
- Bring down 1 → 41.
- 9 into 41 → 4 → 4×9=36 → subtract → 5.
- Bring down 4 → 54.
- 9 into 54 → 6 → 6×9=54 → subtract → 0.
✔ Answer: 846
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Final Answer:
1) 1357
2) 701
3) 1440
4) 4101
5) 451
6) 757
7) 1626
8) 584
9) 1030
10) 1865
11) 426
12) 846
Parent Tip: Review the logic above to help your child master the concept of 3rd grade division worksheet pdf.