Division Worksheet: 4-digit by 2-digit - Standard Division - No Remainder
Math division worksheet featuring 4-digit by 2-digit division problems with no remainders, designed for educational use.
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Show Answer Key & Explanations
Step-by-step solution for: 4-digits by 2-digits Division Worksheets and Exercise - EngWorksheets
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Show Answer Key & Explanations
Step-by-step solution for: 4-digits by 2-digits Division Worksheets and Exercise - EngWorksheets
You're working on a 4-digit by 2-digit division worksheet where all problems have no remainder, as stated in the title.
Let’s solve each problem step-by-step using standard long division. Since there’s no remainder, each division will result in a whole number.
---
1. 5100 ÷ 51
- 51 goes into 51 → 1 time → write 1 above the first 0 (hundreds place).
- 1 × 51 = 51 → subtract → 0.
- Bring down next digit (0) → 00.
- 51 goes into 0 → 0 times → write 0.
- Bring down last 0 → 00 again → 0.
- Final answer: 100
✔ Check: 51 × 100 = 5100 ✔️
---
2. 7337 ÷ 29
Let’s divide:
- 29 into 73 → 2 times (2×29=58), subtract → 73–58=15
- Bring down 3 → 153
- 29 into 153 → 5 times (5×29=145), subtract → 153–145=8
- Bring down 7 → 87
- 29 into 87 → 3 times (3×29=87), subtract → 0
Answer: 253
✔ Check: 29 × 253 = 7337 ✔️
---
3. 1600 ÷ 40
- 40 into 160 → 4 times → 4×40=160 → subtract → 0
- Bring down 0 → 00 → 0
- Answer: 40
✔ Check: 40 × 40 = 1600 ✔️
---
4. 2205 ÷ 49
- 49 into 220 → 4 times (4×49=196), subtract → 220–196=24
- Bring down 5 → 245
- 49 into 245 → 5 times (5×49=245), subtract → 0
Answer: 45
✔ Check: 49 × 45 = 2205 ✔️
---
5. 4018 ÷ 41
- 41 into 40 → too small → take 401
- 41 into 401 → 9 times (9×41=369), subtract → 401–369=32
- Bring down 8 → 328
- 41 into 328 → 8 times (8×41=328), subtract → 0
Answer: 98
✔ Check: 41 × 98 = 4018 ✔️
---
6. 5754 ÷ 42
- 42 into 57 → 1 time (1×42=42), subtract → 15
- Bring down 5 → 155
- 42 into 155 → 3 times (3×42=126), subtract → 29
- Bring down 4 → 294
- 42 into 294 → 7 times (7×42=294), subtract → 0
Answer: 137
✔ Check: 42 × 137 = 5754 ✔️
---
7. 1736 ÷ 56
- 56 into 173 → 3 times (3×56=168), subtract → 5
- Bring down 6 → 56
- 56 into 56 → 1 time → 1×56=56 → subtract → 0
Answer: 31
✔ Check: 56 × 31 = 1736 ✔️
---
8. 2688 ÷ 32
- 32 into 26 → too small → take 268
- 32 into 268 → 8 times (8×32=256), subtract → 12
- Bring down 8 → 128
- 32 into 128 → 4 times → 4×32=128 → subtract → 0
Answer: 84
✔ Check: 32 × 84 = 2688 ✔️
---
9. 1980 ÷ 66
- 66 into 198 → 3 times (3×66=198), subtract → 0
- Bring down 0 → 00 → 0
Answer: 30
✔ Check: 66 × 30 = 1980 ✔️
---
10. 3876 ÷ 57
- 57 into 387 → 6 times (6×57=342), subtract → 45
- Bring down 6 → 456
- 57 into 456 → 8 times (8×57=456), subtract → 0
Answer: 68
✔ Check: 57 × 68 = 3876 ✔️
---
11. 2516 ÷ 17
- 17 into 25 → 1 time (1×17=17), subtract → 8
- Bring down 1 → 81
- 17 into 81 → 4 times (4×17=68), subtract → 13
- Bring down 6 → 136
- 17 into 136 → 8 times (8×17=136), subtract → 0
Answer: 148
✔ Check: 17 × 148 = 2516 ✔️
---
12. 2525 ÷ 25
- 25 into 25 → 1 time → 1×25=25 → subtract → 0
- Bring down 2 → 02 → too small → bring down 5 → 25
- 25 into 25 → 1 → 1×25=25 → subtract → 0
Answer: 101
✔ Check: 25 × 101 = 2525 ✔️
---
13. 4284 ÷ 28
- 28 into 42 → 1 time (1×28=28), subtract → 14
- Bring down 8 → 148
- 28 into 148 → 5 times (5×28=140), subtract → 8
- Bring down 4 → 84
- 28 into 84 → 3 times (3×28=84), subtract → 0
Answer: 153
✔ Check: 28 × 153 = 4284 ✔️
---
14. 3550 ÷ 50
- 50 into 355 → 7 times (7×50=350), subtract → 5
- Bring down 0 → 50
- 50 into 50 → 1 time → 1×50=50 → subtract → 0
Answer: 71
✔ Check: 50 × 71 = 3550 ✔️
---
15. 9089 ÷ 61
- 61 into 90 → 1 time (1×61=61), subtract → 29
- Bring down 8 → 298
- 61 into 298 → 4 times (4×61=244), subtract → 54
- Bring down 9 → 549
- 61 into 549 → 9 times (9×61=549), subtract → 0
Answer: 149
✔ Check: 61 × 149 = 9089 ✔️
---
16. 6840 ÷ 57
- 57 into 68 → 1 time (1×57=57), subtract → 11
- Bring down 4 → 114
- 57 into 114 → 2 times (2×57=114), subtract → 0
- Bring down 0 → 00 → 0
Answer: 120
✔ Check: 57 × 120 = 6840 ✔️
---
17. 5474 ÷ 23
- 23 into 54 → 2 times (2×23=46), subtract → 8
- Bring down 7 → 87
- 23 into 87 → 3 times (3×23=69), subtract → 18
- Bring down 4 → 184
- 23 into 184 → 8 times (8×23=184), subtract → 0
Answer: 238
✔ Check: 23 × 238 = 5474 ✔️
---
18. 6231 ÷ 67
- 67 into 62 → too small → take 623
- 67 into 623 → 9 times (9×67=603), subtract → 20
- Bring down 1 → 201
- 67 into 201 → 3 times (3×67=201), subtract → 0
Answer: 93
✔ Check: 67 × 93 = 6231 ✔️
---
19. 3808 ÷ 14
- 14 into 38 → 2 times (2×14=28), subtract → 10
- Bring down 0 → 100
- 14 into 100 → 7 times (7×14=98), subtract → 2
- Bring down 8 → 28
- 14 into 28 → 2 times → 2×14=28 → subtract → 0
Answer: 272
✔ Check: 14 × 272 = 3808 ✔️
---
20. 2378 ÷ 41
- 41 into 23 → too small → take 237
- 41 into 237 → 5 times (5×41=205), subtract → 32
- Bring down 8 → 328
- 41 into 328 → 8 times (8×41=328), subtract → 0
Answer: 58
✔ Check: 41 × 58 = 2378 ✔️
---
## ✔ Final Answers (in order):
Row 1:
100, 253, 40, 45
Row 2:
98, 137, 31, 84
Row 3:
30, 68, 148, 101
Row 4:
153, 71, 149, 120
Row 5:
238, 93, 272, 58
---
You can now fill these answers into your worksheet! All divisions are exact (no remainders), as required.
Let me know if you’d like to see any of the long division steps visually written out!
Let’s solve each problem step-by-step using standard long division. Since there’s no remainder, each division will result in a whole number.
---
Row 1:
1. 5100 ÷ 51
- 51 goes into 51 → 1 time → write 1 above the first 0 (hundreds place).
- 1 × 51 = 51 → subtract → 0.
- Bring down next digit (0) → 00.
- 51 goes into 0 → 0 times → write 0.
- Bring down last 0 → 00 again → 0.
- Final answer: 100
✔ Check: 51 × 100 = 5100 ✔️
---
2. 7337 ÷ 29
Let’s divide:
- 29 into 73 → 2 times (2×29=58), subtract → 73–58=15
- Bring down 3 → 153
- 29 into 153 → 5 times (5×29=145), subtract → 153–145=8
- Bring down 7 → 87
- 29 into 87 → 3 times (3×29=87), subtract → 0
Answer: 253
✔ Check: 29 × 253 = 7337 ✔️
---
3. 1600 ÷ 40
- 40 into 160 → 4 times → 4×40=160 → subtract → 0
- Bring down 0 → 00 → 0
- Answer: 40
✔ Check: 40 × 40 = 1600 ✔️
---
4. 2205 ÷ 49
- 49 into 220 → 4 times (4×49=196), subtract → 220–196=24
- Bring down 5 → 245
- 49 into 245 → 5 times (5×49=245), subtract → 0
Answer: 45
✔ Check: 49 × 45 = 2205 ✔️
---
Row 2:
5. 4018 ÷ 41
- 41 into 40 → too small → take 401
- 41 into 401 → 9 times (9×41=369), subtract → 401–369=32
- Bring down 8 → 328
- 41 into 328 → 8 times (8×41=328), subtract → 0
Answer: 98
✔ Check: 41 × 98 = 4018 ✔️
---
6. 5754 ÷ 42
- 42 into 57 → 1 time (1×42=42), subtract → 15
- Bring down 5 → 155
- 42 into 155 → 3 times (3×42=126), subtract → 29
- Bring down 4 → 294
- 42 into 294 → 7 times (7×42=294), subtract → 0
Answer: 137
✔ Check: 42 × 137 = 5754 ✔️
---
7. 1736 ÷ 56
- 56 into 173 → 3 times (3×56=168), subtract → 5
- Bring down 6 → 56
- 56 into 56 → 1 time → 1×56=56 → subtract → 0
Answer: 31
✔ Check: 56 × 31 = 1736 ✔️
---
8. 2688 ÷ 32
- 32 into 26 → too small → take 268
- 32 into 268 → 8 times (8×32=256), subtract → 12
- Bring down 8 → 128
- 32 into 128 → 4 times → 4×32=128 → subtract → 0
Answer: 84
✔ Check: 32 × 84 = 2688 ✔️
---
Row 3:
9. 1980 ÷ 66
- 66 into 198 → 3 times (3×66=198), subtract → 0
- Bring down 0 → 00 → 0
Answer: 30
✔ Check: 66 × 30 = 1980 ✔️
---
10. 3876 ÷ 57
- 57 into 387 → 6 times (6×57=342), subtract → 45
- Bring down 6 → 456
- 57 into 456 → 8 times (8×57=456), subtract → 0
Answer: 68
✔ Check: 57 × 68 = 3876 ✔️
---
11. 2516 ÷ 17
- 17 into 25 → 1 time (1×17=17), subtract → 8
- Bring down 1 → 81
- 17 into 81 → 4 times (4×17=68), subtract → 13
- Bring down 6 → 136
- 17 into 136 → 8 times (8×17=136), subtract → 0
Answer: 148
✔ Check: 17 × 148 = 2516 ✔️
---
12. 2525 ÷ 25
- 25 into 25 → 1 time → 1×25=25 → subtract → 0
- Bring down 2 → 02 → too small → bring down 5 → 25
- 25 into 25 → 1 → 1×25=25 → subtract → 0
Answer: 101
✔ Check: 25 × 101 = 2525 ✔️
---
Row 4:
13. 4284 ÷ 28
- 28 into 42 → 1 time (1×28=28), subtract → 14
- Bring down 8 → 148
- 28 into 148 → 5 times (5×28=140), subtract → 8
- Bring down 4 → 84
- 28 into 84 → 3 times (3×28=84), subtract → 0
Answer: 153
✔ Check: 28 × 153 = 4284 ✔️
---
14. 3550 ÷ 50
- 50 into 355 → 7 times (7×50=350), subtract → 5
- Bring down 0 → 50
- 50 into 50 → 1 time → 1×50=50 → subtract → 0
Answer: 71
✔ Check: 50 × 71 = 3550 ✔️
---
15. 9089 ÷ 61
- 61 into 90 → 1 time (1×61=61), subtract → 29
- Bring down 8 → 298
- 61 into 298 → 4 times (4×61=244), subtract → 54
- Bring down 9 → 549
- 61 into 549 → 9 times (9×61=549), subtract → 0
Answer: 149
✔ Check: 61 × 149 = 9089 ✔️
---
16. 6840 ÷ 57
- 57 into 68 → 1 time (1×57=57), subtract → 11
- Bring down 4 → 114
- 57 into 114 → 2 times (2×57=114), subtract → 0
- Bring down 0 → 00 → 0
Answer: 120
✔ Check: 57 × 120 = 6840 ✔️
---
Row 5:
17. 5474 ÷ 23
- 23 into 54 → 2 times (2×23=46), subtract → 8
- Bring down 7 → 87
- 23 into 87 → 3 times (3×23=69), subtract → 18
- Bring down 4 → 184
- 23 into 184 → 8 times (8×23=184), subtract → 0
Answer: 238
✔ Check: 23 × 238 = 5474 ✔️
---
18. 6231 ÷ 67
- 67 into 62 → too small → take 623
- 67 into 623 → 9 times (9×67=603), subtract → 20
- Bring down 1 → 201
- 67 into 201 → 3 times (3×67=201), subtract → 0
Answer: 93
✔ Check: 67 × 93 = 6231 ✔️
---
19. 3808 ÷ 14
- 14 into 38 → 2 times (2×14=28), subtract → 10
- Bring down 0 → 100
- 14 into 100 → 7 times (7×14=98), subtract → 2
- Bring down 8 → 28
- 14 into 28 → 2 times → 2×14=28 → subtract → 0
Answer: 272
✔ Check: 14 × 272 = 3808 ✔️
---
20. 2378 ÷ 41
- 41 into 23 → too small → take 237
- 41 into 237 → 5 times (5×41=205), subtract → 32
- Bring down 8 → 328
- 41 into 328 → 8 times (8×41=328), subtract → 0
Answer: 58
✔ Check: 41 × 58 = 2378 ✔️
---
## ✔ Final Answers (in order):
Row 1:
100, 253, 40, 45
Row 2:
98, 137, 31, 84
Row 3:
30, 68, 148, 101
Row 4:
153, 71, 149, 120
Row 5:
238, 93, 272, 58
---
You can now fill these answers into your worksheet! All divisions are exact (no remainders), as required.
Let me know if you’d like to see any of the long division steps visually written out!
Parent Tip: Review the logic above to help your child master the concept of 4 digit by 2 digit division worksheet.
