Division worksheet with 1-digit divisor and 4-digit dividend, no remainders.
Worksheet with 12 division problems featuring 4-digit dividends and 1-digit divisors, designed for practicing division with no remainders.
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Step-by-step solution for: Long Division Worksheets -Worksheets Library
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Show Answer Key & Explanations
Step-by-step solution for: Long Division Worksheets -Worksheets Library
You’re working on a long division worksheet titled:
“1-Digit Divisor with 4-Digit Dividend: No Remainders”
This means you need to divide each 4-digit number (the dividend) by the single-digit number (the divisor), and every problem is designed so that the division comes out evenly — no remainders.
Let’s solve each one step by step.
---
- 5 goes into 6 → 1, write 1 above 6.
1 × 5 = 5 → subtract: 6 - 5 = 1 → bring down 7 → 17
- 5 goes into 17 → 3, write 3.
3 × 5 = 15 → subtract: 17 - 15 = 2 → bring down 8 → 28
- 5 goes into 28 → 5, write 5.
5 × 5 = 25 → subtract: 28 - 25 = 3 → bring down 5 → 35
- 5 goes into 35 → 7, write 7.
7 × 5 = 35 → subtract: 0
✔ Answer: 1357
---
- 9 into 6? No → 9 into 67 → 7 (7×9=63)
67 - 63 = 4 → bring down 4 → 44
- 9 into 44 → 4 (4×9=36)
44 - 36 = 8 → bring down 1 → 81
- 9 into 81 → 9 (9×9=81) → 0
✔ Answer: 749
---
- 2 into 1? No → 2 into 11 → 5 (5×2=10)
11 - 10 = 1 → bring down 7 → 17
- 2 into 17 → 8 (8×2=16)
17 - 16 = 1 → bring down 8 → 18
- 2 into 18 → 9 (9×2=18) → 0
✔ Answer: 589
---
- 8 into 2? No → 8 into 23 → 2 (2×8=16)
23 - 16 = 7 → bring down 9 → 79
- 8 into 79 → 9 (9×8=72)
79 - 72 = 7 → bring down 2 → 72
- 8 into 72 → 9 (9×8=72) → 0
✔ Answer: 299
---
- 7 into 5? No → 7 into 54 → 7 (7×7=49)
54 - 49 = 5 → bring down 3 → 53
- 7 into 53 → 7 (7×7=49)
53 - 49 = 4 → bring down 2 → 42
- 7 into 42 → 6 (6×7=42) → 0
✔ Answer: 776
---
- 4 into 9 → 2 (2×4=8)
9 - 8 = 1 → bring down 8 → 18
- 4 into 18 → 4 (4×4=16)
18 - 16 = 2 → bring down 1 → 21
- 4 into 21 → 5 (5×4=20)
21 - 20 = 1 → bring down 2 → 12
- 4 into 12 → 3 (3×4=12) → 0
✔ Answer: 2453
---
- 3 into 5 → 1 (1×3=3)
5 - 3 = 2 → bring down 3 → 23
- 3 into 23 → 7 (7×3=21)
23 - 21 = 2 → bring down 4 → 24
- 3 into 24 → 8 (8×3=24)
24 - 24 = 0 → bring down 0 → 0
- 3 into 0 → 0
✔ Answer: 1780
---
- 2 into 4 → 2 → 4 - 4 = 0 → bring down 3 → 3
- 2 into 3 → 1 (1×2=2) → 3 - 2 = 1 → bring down 8 → 18
- 2 into 18 → 9 → 18 - 18 = 0 → bring down 8 → 8
- 2 into 8 → 4
✔ Answer: 2194
---
- 6 into 3? No → 6 into 34 → 5 (5×6=30)
34 - 30 = 4 → bring down 5 → 45
- 6 into 45 → 7 (7×6=42)
45 - 42 = 3 → bring down 0 → 30
- 6 into 30 → 5
✔ Answer: 575
---
- 3 into 1? No → 3 into 15 → 5 → 15 - 15 = 0 → bring down 9 → 9
- 3 into 9 → 3 → 9 - 9 = 0 → bring down 9 → 9
- 3 into 9 → 3
✔ Answer: 533
---
- 4 into 7 → 1 (1×4=4) → 7 - 4 = 3 → bring down 6 → 36
- 4 into 36 → 9 (9×4=36) → 0 → bring down 8 → 8
- 4 into 8 → 2 → 0 → bring down 4 → 4
- 4 into 4 → 1
✔ Answer: 1921
---
- 8 into 2? No → 8 into 23 → 2 (2×8=16)
23 - 16 = 7 → bring down 4 → 74
- 8 into 74 → 9 (9×8=72)
74 - 72 = 2 → bring down 4 → 24
- 8 into 24 → 3
✔ Answer: 293
---
## ✔ Final Answers:
| Problem | Answer |
|---------|--------|
| 1 | 1357 |
| 2 | 749 |
| 3 | 589 |
| 4 | 299 |
| 5 | 776 |
| 6 | 2453 |
| 7 | 1780 |
| 8 | 2194 |
| 9 | 575 |
| 10 | 533 |
| 11 | 1921 |
| 12 | 293 |
---
## 💡 Tip for Students:
Since the worksheet says “No Remainders,” if you get a remainder at any point, double-check your multiplication or subtraction — you likely made a small error. These problems are designed to work out perfectly!
Let me know if you’d like to see the long division written out visually for any problem!
“1-Digit Divisor with 4-Digit Dividend: No Remainders”
This means you need to divide each 4-digit number (the dividend) by the single-digit number (the divisor), and every problem is designed so that the division comes out evenly — no remainders.
Let’s solve each one step by step.
---
🔢 Problem 1: 6785 ÷ 5
- 5 goes into 6 → 1, write 1 above 6.
1 × 5 = 5 → subtract: 6 - 5 = 1 → bring down 7 → 17
- 5 goes into 17 → 3, write 3.
3 × 5 = 15 → subtract: 17 - 15 = 2 → bring down 8 → 28
- 5 goes into 28 → 5, write 5.
5 × 5 = 25 → subtract: 28 - 25 = 3 → bring down 5 → 35
- 5 goes into 35 → 7, write 7.
7 × 5 = 35 → subtract: 0
✔ Answer: 1357
---
🔢 Problem 2: 6741 ÷ 9
- 9 into 6? No → 9 into 67 → 7 (7×9=63)
67 - 63 = 4 → bring down 4 → 44
- 9 into 44 → 4 (4×9=36)
44 - 36 = 8 → bring down 1 → 81
- 9 into 81 → 9 (9×9=81) → 0
✔ Answer: 749
---
🔢 Problem 3: 1178 ÷ 2
- 2 into 1? No → 2 into 11 → 5 (5×2=10)
11 - 10 = 1 → bring down 7 → 17
- 2 into 17 → 8 (8×2=16)
17 - 16 = 1 → bring down 8 → 18
- 2 into 18 → 9 (9×2=18) → 0
✔ Answer: 589
---
🔢 Problem 4: 2392 ÷ 8
- 8 into 2? No → 8 into 23 → 2 (2×8=16)
23 - 16 = 7 → bring down 9 → 79
- 8 into 79 → 9 (9×8=72)
79 - 72 = 7 → bring down 2 → 72
- 8 into 72 → 9 (9×8=72) → 0
✔ Answer: 299
---
🔢 Problem 5: 5432 ÷ 7
- 7 into 5? No → 7 into 54 → 7 (7×7=49)
54 - 49 = 5 → bring down 3 → 53
- 7 into 53 → 7 (7×7=49)
53 - 49 = 4 → bring down 2 → 42
- 7 into 42 → 6 (6×7=42) → 0
✔ Answer: 776
---
🔢 Problem 6: 9812 ÷ 4
- 4 into 9 → 2 (2×4=8)
9 - 8 = 1 → bring down 8 → 18
- 4 into 18 → 4 (4×4=16)
18 - 16 = 2 → bring down 1 → 21
- 4 into 21 → 5 (5×4=20)
21 - 20 = 1 → bring down 2 → 12
- 4 into 12 → 3 (3×4=12) → 0
✔ Answer: 2453
---
🔢 Problem 7: 5340 ÷ 3
- 3 into 5 → 1 (1×3=3)
5 - 3 = 2 → bring down 3 → 23
- 3 into 23 → 7 (7×3=21)
23 - 21 = 2 → bring down 4 → 24
- 3 into 24 → 8 (8×3=24)
24 - 24 = 0 → bring down 0 → 0
- 3 into 0 → 0
✔ Answer: 1780
---
🔢 Problem 8: 4388 ÷ 2
- 2 into 4 → 2 → 4 - 4 = 0 → bring down 3 → 3
- 2 into 3 → 1 (1×2=2) → 3 - 2 = 1 → bring down 8 → 18
- 2 into 18 → 9 → 18 - 18 = 0 → bring down 8 → 8
- 2 into 8 → 4
✔ Answer: 2194
---
🔢 Problem 9: 3450 ÷ 6
- 6 into 3? No → 6 into 34 → 5 (5×6=30)
34 - 30 = 4 → bring down 5 → 45
- 6 into 45 → 7 (7×6=42)
45 - 42 = 3 → bring down 0 → 30
- 6 into 30 → 5
✔ Answer: 575
---
🔢 Problem 10: 1599 ÷ 3
- 3 into 1? No → 3 into 15 → 5 → 15 - 15 = 0 → bring down 9 → 9
- 3 into 9 → 3 → 9 - 9 = 0 → bring down 9 → 9
- 3 into 9 → 3
✔ Answer: 533
---
🔢 Problem 11: 7684 ÷ 4
- 4 into 7 → 1 (1×4=4) → 7 - 4 = 3 → bring down 6 → 36
- 4 into 36 → 9 (9×4=36) → 0 → bring down 8 → 8
- 4 into 8 → 2 → 0 → bring down 4 → 4
- 4 into 4 → 1
✔ Answer: 1921
---
🔢 Problem 12: 2344 ÷ 8
- 8 into 2? No → 8 into 23 → 2 (2×8=16)
23 - 16 = 7 → bring down 4 → 74
- 8 into 74 → 9 (9×8=72)
74 - 72 = 2 → bring down 4 → 24
- 8 into 24 → 3
✔ Answer: 293
---
## ✔ Final Answers:
| Problem | Answer |
|---------|--------|
| 1 | 1357 |
| 2 | 749 |
| 3 | 589 |
| 4 | 299 |
| 5 | 776 |
| 6 | 2453 |
| 7 | 1780 |
| 8 | 2194 |
| 9 | 575 |
| 10 | 533 |
| 11 | 1921 |
| 12 | 293 |
---
## 💡 Tip for Students:
Since the worksheet says “No Remainders,” if you get a remainder at any point, double-check your multiplication or subtraction — you likely made a small error. These problems are designed to work out perfectly!
Let me know if you’d like to see the long division written out visually for any problem!
Parent Tip: Review the logic above to help your child master the concept of division without remainders worksheet.