Long Division Worksheets & Problems (Free Printable Math Drills ... - Free Printable
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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. All problems are 4-digit numbers divided by 1-digit numbers, and there are no remainders — so every answer will be a whole number.
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Problem 1: 8654 ÷ 2
- 2 goes into 8 → 4 times (4 × 2 = 8)
- Bring down 6 → 2 goes into 6 → 3 times (3 × 2 = 6)
- Bring down 5 → 2 goes into 5 → 2 times (2 × 2 = 4), remainder 1
- Bring down 4 → makes 14 → 2 goes into 14 → 7 times (7 × 2 = 14)
→ Quotient: 4327
Check: 4327 × 2 = 8654 ✔
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Problem 2: 2632 ÷ 8
- 8 goes into 26 → 3 times (3 × 8 = 24), remainder 2
- Bring down 3 → makes 23 → 8 goes into 23 → 2 times (2 × 8 = 16), remainder 7
- Bring down 2 → makes 72 → 8 goes into 72 → 9 times (9 × 8 = 72)
→ Quotient: 329
Check: 329 × 8 = 2632 ✔
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Problem 3: 9678 ÷ 6
- 6 goes into 9 → 1 time (1 × 6 = 6), remainder 3
- Bring down 6 → makes 36 → 6 goes into 36 → 6 times (6 × 6 = 36)
- Bring down 7 → 6 goes into 7 → 1 time (1 × 6 = 6), remainder 1
- Bring down 8 → makes 18 → 6 goes into 18 → 3 times (3 × 6 = 18)
→ Quotient: 1613
Check: 1613 × 6 = 9678 ✔
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Problem 4: 6171 ÷ 3
- 3 goes into 6 → 2 times (2 × 3 = 6)
- Bring down 1 → 3 goes into 1 → 0 times? Wait — actually, we look at 61 first? No — standard long division:
Actually:
- 3 into 6 → 2
- 3 into 1 → can’t, so bring down next digit → 17
- 3 into 17 → 5 times (5 × 3 = 15), remainder 2
- Bring down 1 → makes 21 → 3 into 21 → 7 times
Wait — let's do it properly:
Digits: 6 | 1 | 7 | 1
- 3 into 6 → 2 → write 2
- Subtract 6 - 6 = 0
- Bring down 1 → 01 → 3 into 1 → 0? But we don’t write leading zero in quotient unless needed. Actually, we consider 61 as first part? No — standard is left to right.
Better way:
Step-by-step:
- 3 ) 6171
First digit: 6 ÷ 3 = 2 → write 2 above 6
Multiply: 2 × 3 = 6 → subtract → 0
Bring down 1 → now we have 1
1 ÷ 3 = 0 → write 0 above 1? Actually, in long division, if the current number is less than divisor, you put 0 and bring down next digit.
But usually, we combine digits until we get a number ≥ divisor.
So:
- 3 into 6 → 2 → remainder 0
- Bring down 1 → 1 < 3 → so quotient digit is 0? Or skip? Let me recall proper method.
Actually, correct long division steps:
Start with first digit: 6 ÷ 3 = 2 → write 2
Subtract: 6 - 6 = 0
Bring down next digit: 1 → now we have 1
1 ÷ 3 = 0 → write 0 in quotient (above the 1)
Then bring down next digit: 7 → now we have 17
17 ÷ 3 = 5 → write 5 (above the 7)
5 × 3 = 15 → subtract → 17 - 15 = 2
Bring down last digit: 1 → makes 21
21 ÷ 3 = 7 → write 7 (above the 1)
7 × 3 = 21 → subtract → 0
So quotient is 2057
Check: 2057 × 3 = 6171 ✔
Yes! Because 2000×3=6000, 57×3=171 → total 6171.
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Problem 5: 3444 ÷ 4
- 4 into 34 → 8 times (8×4=32), remainder 2
- Bring down 4 → makes 24 → 4 into 24 → 6 times (6×4=24)
- Bring down 4 → 4 into 4 → 1 time (1×4=4)
→ Quotient: 861
Check: 861 × 4 = 3444 ✔
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Problem 6: 3250 ÷ 5
- 5 into 32 → 6 times (6×5=30), remainder 2
- Bring down 5 → makes 25 → 5 into 25 → 5 times (5×5=25)
- Bring down 0 → 5 into 0 → 0 times
→ Quotient: 650
Check: 650 × 5 = 3250 ✔
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Problem 7: 9369 ÷ 3
- 3 into 9 → 3
- 3 into 3 → 1
- 3 into 6 → 2
- 3 into 9 → 3
→ Quotient: 3123
Check: 3123 × 3 = 9369 ✔
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Problem 8: 7082 ÷ 2
- 2 into 7 → 3 (3×2=6), rem 1
- Bring down 0 → 10 → 2 into 10 → 5
- Bring down 8 → 2 into 8 → 4
- Bring down 2 → 2 into 2 → 1
→ Quotient: 3541
Check: 3541 × 2 = 7082 ✔
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Problem 9: 4338 ÷ 6
- 6 into 43 → 7 (7×6=42), rem 1
- Bring down 3 → 13 → 6 into 13 → 2 (2×6=12), rem 1
- Bring down 8 → 18 → 6 into 18 → 3
→ Quotient: 723
Check: 723 × 6 = 4338 ✔
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Problem 10: 4136 ÷ 8
- 8 into 41 → 5 (5×8=40), rem 1
- Bring down 3 → 13 → 8 into 13 → 1 (1×8=8), rem 5
- Bring down 6 → 56 → 8 into 56 → 7
→ Quotient: 517
Check: 517 × 8 = 4136 ✔
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Problem 11: 3780 ÷ 7
- 7 into 37 → 5 (5×7=35), rem 2
- Bring down 8 → 28 → 7 into 28 → 4
- Bring down 0 → 0 → 7 into 0 → 0
→ Quotient: 540
Check: 540 × 7 = 3780 ✔
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Problem 12: 1816 ÷ 4
- 4 into 18 → 4 (4×4=16), rem 2
- Bring down 1 → 21 → 4 into 21 → 5 (5×4=20), rem 1
- Bring down 6 → 16 → 4 into 16 → 4
→ Quotient: 454
Check: 454 × 4 = 1816 ✔
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Final Answer:
1) 4327
2) 329
3) 1613
4) 2057
5) 861
6) 650
7) 3123
8) 3541
9) 723
10) 517
11) 540
12) 454
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Problem 1: 8654 ÷ 2
- 2 goes into 8 → 4 times (4 × 2 = 8)
- Bring down 6 → 2 goes into 6 → 3 times (3 × 2 = 6)
- Bring down 5 → 2 goes into 5 → 2 times (2 × 2 = 4), remainder 1
- Bring down 4 → makes 14 → 2 goes into 14 → 7 times (7 × 2 = 14)
→ Quotient: 4327
Check: 4327 × 2 = 8654 ✔
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Problem 2: 2632 ÷ 8
- 8 goes into 26 → 3 times (3 × 8 = 24), remainder 2
- Bring down 3 → makes 23 → 8 goes into 23 → 2 times (2 × 8 = 16), remainder 7
- Bring down 2 → makes 72 → 8 goes into 72 → 9 times (9 × 8 = 72)
→ Quotient: 329
Check: 329 × 8 = 2632 ✔
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Problem 3: 9678 ÷ 6
- 6 goes into 9 → 1 time (1 × 6 = 6), remainder 3
- Bring down 6 → makes 36 → 6 goes into 36 → 6 times (6 × 6 = 36)
- Bring down 7 → 6 goes into 7 → 1 time (1 × 6 = 6), remainder 1
- Bring down 8 → makes 18 → 6 goes into 18 → 3 times (3 × 6 = 18)
→ Quotient: 1613
Check: 1613 × 6 = 9678 ✔
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Problem 4: 6171 ÷ 3
- 3 goes into 6 → 2 times (2 × 3 = 6)
- Bring down 1 → 3 goes into 1 → 0 times? Wait — actually, we look at 61 first? No — standard long division:
Actually:
- 3 into 6 → 2
- 3 into 1 → can’t, so bring down next digit → 17
- 3 into 17 → 5 times (5 × 3 = 15), remainder 2
- Bring down 1 → makes 21 → 3 into 21 → 7 times
Wait — let's do it properly:
Digits: 6 | 1 | 7 | 1
- 3 into 6 → 2 → write 2
- Subtract 6 - 6 = 0
- Bring down 1 → 01 → 3 into 1 → 0? But we don’t write leading zero in quotient unless needed. Actually, we consider 61 as first part? No — standard is left to right.
Better way:
Step-by-step:
- 3 ) 6171
First digit: 6 ÷ 3 = 2 → write 2 above 6
Multiply: 2 × 3 = 6 → subtract → 0
Bring down 1 → now we have 1
1 ÷ 3 = 0 → write 0 above 1? Actually, in long division, if the current number is less than divisor, you put 0 and bring down next digit.
But usually, we combine digits until we get a number ≥ divisor.
So:
- 3 into 6 → 2 → remainder 0
- Bring down 1 → 1 < 3 → so quotient digit is 0? Or skip? Let me recall proper method.
Actually, correct long division steps:
Start with first digit: 6 ÷ 3 = 2 → write 2
Subtract: 6 - 6 = 0
Bring down next digit: 1 → now we have 1
1 ÷ 3 = 0 → write 0 in quotient (above the 1)
Then bring down next digit: 7 → now we have 17
17 ÷ 3 = 5 → write 5 (above the 7)
5 × 3 = 15 → subtract → 17 - 15 = 2
Bring down last digit: 1 → makes 21
21 ÷ 3 = 7 → write 7 (above the 1)
7 × 3 = 21 → subtract → 0
So quotient is 2057
Check: 2057 × 3 = 6171 ✔
Yes! Because 2000×3=6000, 57×3=171 → total 6171.
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Problem 5: 3444 ÷ 4
- 4 into 34 → 8 times (8×4=32), remainder 2
- Bring down 4 → makes 24 → 4 into 24 → 6 times (6×4=24)
- Bring down 4 → 4 into 4 → 1 time (1×4=4)
→ Quotient: 861
Check: 861 × 4 = 3444 ✔
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Problem 6: 3250 ÷ 5
- 5 into 32 → 6 times (6×5=30), remainder 2
- Bring down 5 → makes 25 → 5 into 25 → 5 times (5×5=25)
- Bring down 0 → 5 into 0 → 0 times
→ Quotient: 650
Check: 650 × 5 = 3250 ✔
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Problem 7: 9369 ÷ 3
- 3 into 9 → 3
- 3 into 3 → 1
- 3 into 6 → 2
- 3 into 9 → 3
→ Quotient: 3123
Check: 3123 × 3 = 9369 ✔
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Problem 8: 7082 ÷ 2
- 2 into 7 → 3 (3×2=6), rem 1
- Bring down 0 → 10 → 2 into 10 → 5
- Bring down 8 → 2 into 8 → 4
- Bring down 2 → 2 into 2 → 1
→ Quotient: 3541
Check: 3541 × 2 = 7082 ✔
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Problem 9: 4338 ÷ 6
- 6 into 43 → 7 (7×6=42), rem 1
- Bring down 3 → 13 → 6 into 13 → 2 (2×6=12), rem 1
- Bring down 8 → 18 → 6 into 18 → 3
→ Quotient: 723
Check: 723 × 6 = 4338 ✔
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Problem 10: 4136 ÷ 8
- 8 into 41 → 5 (5×8=40), rem 1
- Bring down 3 → 13 → 8 into 13 → 1 (1×8=8), rem 5
- Bring down 6 → 56 → 8 into 56 → 7
→ Quotient: 517
Check: 517 × 8 = 4136 ✔
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Problem 11: 3780 ÷ 7
- 7 into 37 → 5 (5×7=35), rem 2
- Bring down 8 → 28 → 7 into 28 → 4
- Bring down 0 → 0 → 7 into 0 → 0
→ Quotient: 540
Check: 540 × 7 = 3780 ✔
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Problem 12: 1816 ÷ 4
- 4 into 18 → 4 (4×4=16), rem 2
- Bring down 1 → 21 → 4 into 21 → 5 (5×4=20), rem 1
- Bring down 6 → 16 → 4 into 16 → 4
→ Quotient: 454
Check: 454 × 4 = 1816 ✔
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Final Answer:
1) 4327
2) 329
3) 1613
4) 2057
5) 861
6) 650
7) 3123
8) 3541
9) 723
10) 517
11) 540
12) 454
Parent Tip: Review the logic above to help your child master the concept of 7th grade math division worksheet.