Long Division Practice Worksheet: 4-Digit by 1-Digit Division (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: 8654 ÷ 2
- 2 goes into 8 → 4 times (write 4)
- 2 goes into 6 → 3 times (write 3)
- 2 goes into 5 → 2 times (2×2=4), remainder 1 → bring down 4 to make 14
- 2 goes into 14 → 7 times
✔ Answer: 4327
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Problem 2: 2632 ÷ 8
- 8 goes into 26 → 3 times (3×8=24), remainder 2 → bring down 3 → 23
- 8 goes into 23 → 2 times (2×8=16), remainder 7 → bring down 2 → 72
- 8 goes into 72 → 9 times
✔ Answer: 329
Wait — let me check that again.
Actually:
Start over:
2632 ÷ 8
- 8 into 26 → 3 (3×8=24), subtract → 2
- Bring down 3 → 23
- 8 into 23 → 2 (2×8=16), subtract → 7
- Bring down 2 → 72
- 8 into 72 → 9
So quotient is 329? But 329 × 8 = ?
300×8=2400, 29×8=232 → 2400+232=2632 ✔
But wait — 329 is only 3 digits. The dividend is 4 digits, but the quotient can be 3 or 4 digits. That’s fine.
Actually, 2632 ÷ 8 = 329 — correct.
But let me double-check with multiplication:
329 × 8 = (300×8) + (20×8) + (9×8) = 2400 + 160 + 72 = 2632 ✔
✔ Answer: 329
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Problem 3: 9678 ÷ 6
- 6 into 9 → 1 (1×6=6), remainder 3 → bring down 6 → 36
- 6 into 36 → 6
- 6 into 7 → 1 (1×6=6), remainder 1 → bring down 8 → 18
- 6 into 18 → 3
✔ Answer: 1613
Check: 1613 × 6 = ?
1600×6=9600, 13×6=78 → 9600+78=9678 ✔
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Problem 4: 6171 ÷ 3
- 3 into 6 → 2
- 3 into 1 → 0, remainder 1 → bring down 7 → 17
- 3 into 17 → 5 (5×3=15), remainder 2 → bring down 1 → 21
- 3 into 21 → 7
✔ Answer: 2057
Check: 2057 × 3 = 6000 + 150 + 21 = 6171 ✔
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Problem 5: 3444 ÷ 4
- 4 into 3 → 0, so look at 34
- 4 into 34 → 8 (8×4=32), remainder 2 → bring down 4 → 24
- 4 into 24 → 6
- 4 into 4 → 1
✔ Answer: 861
Check: 861 × 4 = 3444 ✔
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Problem 6: 3250 ÷ 5
- 5 into 3 → 0, look at 32
- 5 into 32 → 6 (6×5=30), remainder 2 → bring down 5 → 25
- 5 into 25 → 5
- 5 into 0 → 0
✔ Answer: 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
✔ Answer: 3123
Check: 3123 × 3 = 9369 ✔
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Problem 8: 7082 ÷ 2
- 2 into 7 → 3 (3×2=6), remainder 1 → bring down 0 → 10
- 2 into 10 → 5
- 2 into 8 → 4
- 2 into 2 → 1
✔ Answer: 3541
Check: 3541 × 2 = 7082 ✔
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Problem 9: 4338 ÷ 6
- 6 into 4 → 0, look at 43
- 6 into 43 → 7 (7×6=42), remainder 1 → bring down 3 → 13
- 6 into 13 → 2 (2×6=12), remainder 1 → bring down 8 → 18
- 6 into 18 → 3
✔ Answer: 723
Check: 723 × 6 = 4338 ✔
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Problem 10: 4136 ÷ 8
- 8 into 4 → 0, look at 41
- 8 into 41 → 5 (5×8=40), remainder 1 → bring down 3 → 13
- 8 into 13 → 1 (1×8=8), remainder 5 → bring down 6 → 56
- 8 into 56 → 7
✔ Answer: 517
Check: 517 × 8 = 4136 ✔
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Problem 11: 3780 ÷ 7
- 7 into 3 → 0, look at 37
- 7 into 37 → 5 (5×7=35), remainder 2 → bring down 8 → 28
- 7 into 28 → 4
- 7 into 0 → 0
✔ Answer: 540
Check: 540 × 7 = 3780 ✔
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Problem 12: 1816 ÷ 4
- 4 into 1 → 0, look at 18
- 4 into 18 → 4 (4×4=16), remainder 2 → bring down 1 → 21
- 4 into 21 → 5 (5×4=20), remainder 1 → bring down 6 → 16
- 4 into 16 → 4
✔ Answer: 454
Check: 454 × 4 = 1816 ✔
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All problems solved and checked!
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
We’ll go one problem at a time.
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Problem 1: 8654 ÷ 2
- 2 goes into 8 → 4 times (write 4)
- 2 goes into 6 → 3 times (write 3)
- 2 goes into 5 → 2 times (2×2=4), remainder 1 → bring down 4 to make 14
- 2 goes into 14 → 7 times
✔ Answer: 4327
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Problem 2: 2632 ÷ 8
- 8 goes into 26 → 3 times (3×8=24), remainder 2 → bring down 3 → 23
- 8 goes into 23 → 2 times (2×8=16), remainder 7 → bring down 2 → 72
- 8 goes into 72 → 9 times
✔ Answer: 329
Wait — let me check that again.
Actually:
Start over:
2632 ÷ 8
- 8 into 26 → 3 (3×8=24), subtract → 2
- Bring down 3 → 23
- 8 into 23 → 2 (2×8=16), subtract → 7
- Bring down 2 → 72
- 8 into 72 → 9
So quotient is 329? But 329 × 8 = ?
300×8=2400, 29×8=232 → 2400+232=2632 ✔
But wait — 329 is only 3 digits. The dividend is 4 digits, but the quotient can be 3 or 4 digits. That’s fine.
Actually, 2632 ÷ 8 = 329 — correct.
But let me double-check with multiplication:
329 × 8 = (300×8) + (20×8) + (9×8) = 2400 + 160 + 72 = 2632 ✔
✔ Answer: 329
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Problem 3: 9678 ÷ 6
- 6 into 9 → 1 (1×6=6), remainder 3 → bring down 6 → 36
- 6 into 36 → 6
- 6 into 7 → 1 (1×6=6), remainder 1 → bring down 8 → 18
- 6 into 18 → 3
✔ Answer: 1613
Check: 1613 × 6 = ?
1600×6=9600, 13×6=78 → 9600+78=9678 ✔
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Problem 4: 6171 ÷ 3
- 3 into 6 → 2
- 3 into 1 → 0, remainder 1 → bring down 7 → 17
- 3 into 17 → 5 (5×3=15), remainder 2 → bring down 1 → 21
- 3 into 21 → 7
✔ Answer: 2057
Check: 2057 × 3 = 6000 + 150 + 21 = 6171 ✔
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Problem 5: 3444 ÷ 4
- 4 into 3 → 0, so look at 34
- 4 into 34 → 8 (8×4=32), remainder 2 → bring down 4 → 24
- 4 into 24 → 6
- 4 into 4 → 1
✔ Answer: 861
Check: 861 × 4 = 3444 ✔
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Problem 6: 3250 ÷ 5
- 5 into 3 → 0, look at 32
- 5 into 32 → 6 (6×5=30), remainder 2 → bring down 5 → 25
- 5 into 25 → 5
- 5 into 0 → 0
✔ Answer: 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
✔ Answer: 3123
Check: 3123 × 3 = 9369 ✔
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Problem 8: 7082 ÷ 2
- 2 into 7 → 3 (3×2=6), remainder 1 → bring down 0 → 10
- 2 into 10 → 5
- 2 into 8 → 4
- 2 into 2 → 1
✔ Answer: 3541
Check: 3541 × 2 = 7082 ✔
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Problem 9: 4338 ÷ 6
- 6 into 4 → 0, look at 43
- 6 into 43 → 7 (7×6=42), remainder 1 → bring down 3 → 13
- 6 into 13 → 2 (2×6=12), remainder 1 → bring down 8 → 18
- 6 into 18 → 3
✔ Answer: 723
Check: 723 × 6 = 4338 ✔
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Problem 10: 4136 ÷ 8
- 8 into 4 → 0, look at 41
- 8 into 41 → 5 (5×8=40), remainder 1 → bring down 3 → 13
- 8 into 13 → 1 (1×8=8), remainder 5 → bring down 6 → 56
- 8 into 56 → 7
✔ Answer: 517
Check: 517 × 8 = 4136 ✔
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Problem 11: 3780 ÷ 7
- 7 into 3 → 0, look at 37
- 7 into 37 → 5 (5×7=35), remainder 2 → bring down 8 → 28
- 7 into 28 → 4
- 7 into 0 → 0
✔ Answer: 540
Check: 540 × 7 = 3780 ✔
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Problem 12: 1816 ÷ 4
- 4 into 1 → 0, look at 18
- 4 into 18 → 4 (4×4=16), remainder 2 → bring down 1 → 21
- 4 into 21 → 5 (5×4=20), remainder 1 → bring down 6 → 16
- 4 into 16 → 4
✔ Answer: 454
Check: 454 × 4 = 1816 ✔
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All problems solved and checked!
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 fifth grade math division worksheet.