Long Division Worksheet with Double Digit Divisors (Set 3 ... - Free Printable
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Step-by-step solution for: Long Division Worksheet with Double Digit Divisors (Set 3 ...
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Show Answer Key & Explanations
Step-by-step solution for: Long Division Worksheet with Double Digit Divisors (Set 3 ...
Let's solve each of the division problems on your worksheet. These are long division problems with double-digit divisors and five-digit dividends, and all have no remainder (as stated in the title). We'll go through each one step by step.
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We divide 10047 by 51.
1. Step 1: How many times does 51 go into 100?
→ 51 × 1 = 51
→ 51 × 2 = 102 → too big
So, 1 time. Write 1 above the second digit.
2. Multiply: 1 × 51 = 51
Subtract: 100 - 51 = 49
Bring down next digit: 4 → 494
3. How many times does 51 go into 494?
→ 51 × 9 = 459
→ 51 × 10 = 510 → too big
So, 9 times
4. Multiply: 9 × 51 = 459
Subtract: 494 - 459 = 35
Bring down next digit: 7 → 357
5. How many times does 51 go into 357?
→ 51 × 7 = 357 → perfect!
6. Multiply: 7 × 51 = 357
Subtract: 357 - 357 = 0
✔ Answer: 197
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Divide 23281 by 31.
1. How many times does 31 go into 232?
→ 31 × 7 = 217
→ 31 × 8 = 248 → too big
So, 7 times
2. Multiply: 7 × 31 = 217
Subtract: 232 - 217 = 15
Bring down 8 → 158
3. How many times does 31 go into 158?
→ 31 × 5 = 155
→ 31 × 6 = 186 → too big
So, 5 times
4. Multiply: 5 × 31 = 155
Subtract: 158 - 155 = 3
Bring down 1 → 31
5. How many times does 31 go into 31?
→ 31 × 1 = 31 → perfect!
6. Multiply: 1 × 31 = 31
Subtract: 31 - 31 = 0
✔ Answer: 751
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Divide 33075 by 45.
1. How many times does 45 go into 330?
→ 45 × 7 = 315
→ 45 × 8 = 360 → too big
So, 7 times
2. Multiply: 7 × 45 = 315
Subtract: 330 - 315 = 15
Bring down 7 → 157
3. How many times does 45 go into 157?
→ 45 × 3 = 135
→ 45 × 4 = 180 → too big
So, 3 times
4. Multiply: 3 × 45 = 135
Subtract: 157 - 135 = 22
Bring down 5 → 225
5. How many times does 45 go into 225?
→ 45 × 5 = 225 → perfect!
6. Multiply: 5 × 45 = 225
Subtract: 225 - 225 = 0
✔ Answer: 735
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Divide 44580 by 60.
Note: Since 60 ends in 0, we can simplify by dividing both numbers by 10:
→ 4458 ÷ 6
Now divide 4458 by 6:
1. 6 goes into 44 → 7 times (6×7=42), remainder 2
Bring down 5 → 25
2. 6 into 25 → 4 times (6×4=24), rem 1
Bring down 8 → 18
3. 6 into 18 → 3 times (6×3=18), rem 0
Bring down 0 → 0
4. 6 into 0 → 0
So, 4458 ÷ 6 = 743 → Therefore, 44580 ÷ 60 = 743
✔ Answer: 743
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Divide 26912 by 32.
1. 32 into 269:
→ 32 × 8 = 256
→ 32 × 9 = 288 → too big
So, 8 times
2. 8 × 32 = 256
Subtract: 269 - 256 = 13
Bring down 1 → 131
3. 32 into 131:
→ 32 × 4 = 128
→ 32 × 5 = 160 → too big
So, 4 times
4. 4 × 32 = 128
Subtract: 131 - 128 = 3
Bring down 2 → 32
5. 32 into 32 → 1 time
6. 1 × 32 = 32
Subtract: 32 - 32 = 0
✔ Answer: 841
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Divide 14135 by 55.
1. 55 into 141:
→ 55 × 2 = 110
→ 55 × 3 = 165 → too big
So, 2 times
2. 2 × 55 = 110
Subtract: 141 - 110 = 31
Bring down 3 → 313
3. 55 into 313:
→ 55 × 5 = 275
→ 55 × 6 = 330 → too big
So, 5 times
4. 5 × 55 = 275
Subtract: 313 - 275 = 38
Bring down 5 → 385
5. 55 into 385:
→ 55 × 7 = 385 → perfect!
6. 7 × 55 = 385
Subtract: 385 - 385 = 0
✔ Answer: 257
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Divide 16169 by 37.
1. 37 into 161:
→ 37 × 4 = 148
→ 37 × 5 = 185 → too big
So, 4 times
2. 4 × 37 = 148
Subtract: 161 - 148 = 13
Bring down 6 → 136
3. 37 into 136:
→ 37 × 3 = 111
→ 37 × 4 = 148 → too big
So, 3 times
4. 3 × 37 = 111
Subtract: 136 - 111 = 25
Bring down 9 → 259
5. 37 into 259:
→ 37 × 7 = 259 → perfect!
6. 7 × 37 = 259
Subtract: 259 - 259 = 0
✔ Answer: 437
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Divide 21905 by 65.
1. 65 into 219:
→ 65 × 3 = 195
→ 65 × 4 = 260 → too big
So, 3 times
2. 3 × 65 = 195
Subtract: 219 - 195 = 24
Bring down 0 → 240
3. 65 into 240:
→ 65 × 3 = 195
→ 65 × 4 = 260 → too big
So, 3 times
4. 3 × 65 = 195
Subtract: 240 - 195 = 45
Bring down 5 → 455
5. 65 into 455:
→ 65 × 7 = 455 → perfect!
6. 7 × 65 = 455
Subtract: 455 - 455 = 0
✔ Answer: 337
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Divide 15375 by 25.
Note: 25 × ? = 15375
We know that 25 × 600 = 15000
15375 - 15000 = 375
25 × 15 = 375
So total: 600 + 15 = 615
Or do long division:
1. 25 into 153:
→ 25 × 6 = 150
→ 25 × 7 = 175 → too big
So, 6 times
2. 6 × 25 = 150
Subtract: 153 - 150 = 3
Bring down 7 → 37
3. 25 into 37:
→ 25 × 1 = 25
→ 25 × 2 = 50 → too big
So, 1 time
4. 1 × 25 = 25
Subtract: 37 - 25 = 12
Bring down 5 → 125
5. 25 into 125:
→ 25 × 5 = 125 → perfect!
6. 5 × 25 = 125
Subtract: 125 - 125 = 0
✔ Answer: 615
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| Problem | Division | Answer |
|--------|------------------|--------|
| 1 | 51 ) 10047 | 197 |
| 2 | 31 ) 23281 | 751 |
| 3 | 45 ) 33075 | 735 |
| 4 | 60 ) 44580 | 743 |
| 5 | 32 ) 26912 | 841 |
| 6 | 55 ) 14135 | 257 |
| 7 | 37 ) 16169 | 437 |
| 8 | 65 ) 21905 | 337 |
| 9 | 25 ) 15375 | 615 |
Let me know if you'd like a printable version or step-by-step diagrams!
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Problem 1: 51 ) 10047
We divide 10047 by 51.
1. Step 1: How many times does 51 go into 100?
→ 51 × 1 = 51
→ 51 × 2 = 102 → too big
So, 1 time. Write 1 above the second digit.
2. Multiply: 1 × 51 = 51
Subtract: 100 - 51 = 49
Bring down next digit: 4 → 494
3. How many times does 51 go into 494?
→ 51 × 9 = 459
→ 51 × 10 = 510 → too big
So, 9 times
4. Multiply: 9 × 51 = 459
Subtract: 494 - 459 = 35
Bring down next digit: 7 → 357
5. How many times does 51 go into 357?
→ 51 × 7 = 357 → perfect!
6. Multiply: 7 × 51 = 357
Subtract: 357 - 357 = 0
✔ Answer: 197
---
Problem 2: 31 ) 23281
Divide 23281 by 31.
1. How many times does 31 go into 232?
→ 31 × 7 = 217
→ 31 × 8 = 248 → too big
So, 7 times
2. Multiply: 7 × 31 = 217
Subtract: 232 - 217 = 15
Bring down 8 → 158
3. How many times does 31 go into 158?
→ 31 × 5 = 155
→ 31 × 6 = 186 → too big
So, 5 times
4. Multiply: 5 × 31 = 155
Subtract: 158 - 155 = 3
Bring down 1 → 31
5. How many times does 31 go into 31?
→ 31 × 1 = 31 → perfect!
6. Multiply: 1 × 31 = 31
Subtract: 31 - 31 = 0
✔ Answer: 751
---
Problem 3: 45 ) 33075
Divide 33075 by 45.
1. How many times does 45 go into 330?
→ 45 × 7 = 315
→ 45 × 8 = 360 → too big
So, 7 times
2. Multiply: 7 × 45 = 315
Subtract: 330 - 315 = 15
Bring down 7 → 157
3. How many times does 45 go into 157?
→ 45 × 3 = 135
→ 45 × 4 = 180 → too big
So, 3 times
4. Multiply: 3 × 45 = 135
Subtract: 157 - 135 = 22
Bring down 5 → 225
5. How many times does 45 go into 225?
→ 45 × 5 = 225 → perfect!
6. Multiply: 5 × 45 = 225
Subtract: 225 - 225 = 0
✔ Answer: 735
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Problem 4: 60 ) 44580
Divide 44580 by 60.
Note: Since 60 ends in 0, we can simplify by dividing both numbers by 10:
→ 4458 ÷ 6
Now divide 4458 by 6:
1. 6 goes into 44 → 7 times (6×7=42), remainder 2
Bring down 5 → 25
2. 6 into 25 → 4 times (6×4=24), rem 1
Bring down 8 → 18
3. 6 into 18 → 3 times (6×3=18), rem 0
Bring down 0 → 0
4. 6 into 0 → 0
So, 4458 ÷ 6 = 743 → Therefore, 44580 ÷ 60 = 743
✔ Answer: 743
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Problem 5: 32 ) 26912
Divide 26912 by 32.
1. 32 into 269:
→ 32 × 8 = 256
→ 32 × 9 = 288 → too big
So, 8 times
2. 8 × 32 = 256
Subtract: 269 - 256 = 13
Bring down 1 → 131
3. 32 into 131:
→ 32 × 4 = 128
→ 32 × 5 = 160 → too big
So, 4 times
4. 4 × 32 = 128
Subtract: 131 - 128 = 3
Bring down 2 → 32
5. 32 into 32 → 1 time
6. 1 × 32 = 32
Subtract: 32 - 32 = 0
✔ Answer: 841
---
Problem 6: 55 ) 14135
Divide 14135 by 55.
1. 55 into 141:
→ 55 × 2 = 110
→ 55 × 3 = 165 → too big
So, 2 times
2. 2 × 55 = 110
Subtract: 141 - 110 = 31
Bring down 3 → 313
3. 55 into 313:
→ 55 × 5 = 275
→ 55 × 6 = 330 → too big
So, 5 times
4. 5 × 55 = 275
Subtract: 313 - 275 = 38
Bring down 5 → 385
5. 55 into 385:
→ 55 × 7 = 385 → perfect!
6. 7 × 55 = 385
Subtract: 385 - 385 = 0
✔ Answer: 257
---
Problem 7: 37 ) 16169
Divide 16169 by 37.
1. 37 into 161:
→ 37 × 4 = 148
→ 37 × 5 = 185 → too big
So, 4 times
2. 4 × 37 = 148
Subtract: 161 - 148 = 13
Bring down 6 → 136
3. 37 into 136:
→ 37 × 3 = 111
→ 37 × 4 = 148 → too big
So, 3 times
4. 3 × 37 = 111
Subtract: 136 - 111 = 25
Bring down 9 → 259
5. 37 into 259:
→ 37 × 7 = 259 → perfect!
6. 7 × 37 = 259
Subtract: 259 - 259 = 0
✔ Answer: 437
---
Problem 8: 65 ) 21905
Divide 21905 by 65.
1. 65 into 219:
→ 65 × 3 = 195
→ 65 × 4 = 260 → too big
So, 3 times
2. 3 × 65 = 195
Subtract: 219 - 195 = 24
Bring down 0 → 240
3. 65 into 240:
→ 65 × 3 = 195
→ 65 × 4 = 260 → too big
So, 3 times
4. 3 × 65 = 195
Subtract: 240 - 195 = 45
Bring down 5 → 455
5. 65 into 455:
→ 65 × 7 = 455 → perfect!
6. 7 × 65 = 455
Subtract: 455 - 455 = 0
✔ Answer: 337
---
Problem 9: 25 ) 15375
Divide 15375 by 25.
Note: 25 × ? = 15375
We know that 25 × 600 = 15000
15375 - 15000 = 375
25 × 15 = 375
So total: 600 + 15 = 615
Or do long division:
1. 25 into 153:
→ 25 × 6 = 150
→ 25 × 7 = 175 → too big
So, 6 times
2. 6 × 25 = 150
Subtract: 153 - 150 = 3
Bring down 7 → 37
3. 25 into 37:
→ 25 × 1 = 25
→ 25 × 2 = 50 → too big
So, 1 time
4. 1 × 25 = 25
Subtract: 37 - 25 = 12
Bring down 5 → 125
5. 25 into 125:
→ 25 × 5 = 125 → perfect!
6. 5 × 25 = 125
Subtract: 125 - 125 = 0
✔ Answer: 615
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✔ Final Answers:
| Problem | Division | Answer |
|--------|------------------|--------|
| 1 | 51 ) 10047 | 197 |
| 2 | 31 ) 23281 | 751 |
| 3 | 45 ) 33075 | 735 |
| 4 | 60 ) 44580 | 743 |
| 5 | 32 ) 26912 | 841 |
| 6 | 55 ) 14135 | 257 |
| 7 | 37 ) 16169 | 437 |
| 8 | 65 ) 21905 | 337 |
| 9 | 25 ) 15375 | 615 |
Let me know if you'd like a printable version or step-by-step diagrams!
Parent Tip: Review the logic above to help your child master the concept of 2 digits division worksheet.