Long division worksheet with 2-digit divisors for math practice.
Division worksheet with long division problems using 2-digit divisors, designed for educational practice.
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Step-by-step solution for: Free Printable 6th Grade Division Worksheets [PDFs] Brighterly
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Show Answer Key & Explanations
Step-by-step solution for: Free Printable 6th Grade Division Worksheets [PDFs] Brighterly
Let's solve each of the long division problems step by step. These are all divisions with 2-digit divisors.
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We need to divide 19,236 ÷ 58
#### Step-by-step:
1. 58 into 192 (first three digits of 19,236):
- 58 × 3 = 174
- 58 × 4 = 232 → too big
So, 3 is the first digit of the quotient.
2. Subtract: 192 - 174 = 18
3. Bring down next digit: 183
4. 58 into 183:
- 58 × 3 = 174
- 58 × 4 = 232 → too big
So, 3
5. Subtract: 183 - 174 = 9
6. Bring down next digit: 96
7. 58 into 96:
- 58 × 1 = 58
- 58 × 2 = 116 → too big
So, 1
8. Subtract: 96 - 58 = 38
So, the quotient is 331, remainder 38
✔ Answer: 331 R38
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Divide 38,619 ÷ 24
#### Step-by-step:
1. 24 into 38:
- 24 × 1 = 24
- 24 × 2 = 48 → too big
So, 1
2. Subtract: 38 - 24 = 14
3. Bring down 6 → 146
4. 24 into 146:
- 24 × 6 = 144
- 24 × 7 = 168 → too big
So, 6
5. Subtract: 146 - 144 = 2
6. Bring down 1 → 21
7. 24 into 21: 0 times → write 0
8. Bring down 9 → 219
9. 24 into 219:
- 24 × 9 = 216
- 24 × 10 = 240 → too big
So, 9
10. Subtract: 219 - 216 = 3
✔ Answer: 1609 R3
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Divide 72,146 ÷ 18
#### Step-by-step:
1. 18 into 72:
- 18 × 4 = 72 → exactly
So, 4
2. Subtract: 72 - 72 = 0
3. Bring down 1 → 01 → 1
4. 18 into 1: 0 → write 0
5. Bring down 4 → 14
6. 18 into 14: 0 → write 0
7. Bring down 6 → 146
8. 18 into 146:
- 18 × 8 = 144
- 18 × 9 = 162 → too big
So, 8
9. Subtract: 146 - 144 = 2
✔ Answer: 4008 R2
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Divide 68,050 ÷ 98
#### Step-by-step:
1. 98 into 680:
- 98 × 6 = 588
- 98 × 7 = 686 → too big
So, 6
2. Subtract: 680 - 588 = 92
3. Bring down 5 → 925
4. 98 into 925:
- 98 × 9 = 882
- 98 × 10 = 980 → too big
So, 9
5. Subtract: 925 - 882 = 43
6. Bring down 0 → 430
7. 98 into 430:
- 98 × 4 = 392
- 98 × 5 = 490 → too big
So, 4
8. Subtract: 430 - 392 = 38
✔ Answer: 694 R38
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Divide 58,988 ÷ 55
#### Step-by-step:
1. 55 into 58:
- 55 × 1 = 55
- 55 × 2 = 110 → too big
So, 1
2. Subtract: 58 - 55 = 3
3. Bring down 9 → 39
4. 55 into 39: 0 → write 0
5. Bring down 8 → 398
6. 55 into 398:
- 55 × 7 = 385
- 55 × 8 = 440 → too big
So, 7
7. Subtract: 398 - 385 = 13
8. Bring down 8 → 138
9. 55 into 138:
- 55 × 2 = 110
- 55 × 3 = 165 → too big
So, 2
10. Subtract: 138 - 110 = 28
✔ Answer: 1072 R28
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Divide 52,268 ÷ 92
#### Step-by-step:
1. 92 into 522:
- 92 × 5 = 460
- 92 × 6 = 552 → too big
So, 5
2. Subtract: 522 - 460 = 62
3. Bring down 6 → 626
4. 92 into 626:
- 92 × 6 = 552
- 92 × 7 = 644 → too big
So, 6
5. Subtract: 626 - 552 = 74
6. Bring down 8 → 748
7. 92 into 748:
- 92 × 8 = 736
- 92 × 9 = 828 → too big
So, 8
8. Subtract: 748 - 736 = 12
✔ Answer: 568 R12
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1. 19,236 ÷ 58 = 331 R38
2. 38,619 ÷ 24 = 1609 R3
3. 72,146 ÷ 18 = 4008 R2
4. 68,050 ÷ 98 = 694 R38
5. 58,988 ÷ 55 = 1072 R28
6. 52,268 ÷ 92 = 568 R12
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Let me know if you'd like these written out in long division format!
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1. 58 ÷ 19,236
We need to divide 19,236 ÷ 58
#### Step-by-step:
1. 58 into 192 (first three digits of 19,236):
- 58 × 3 = 174
- 58 × 4 = 232 → too big
So, 3 is the first digit of the quotient.
2. Subtract: 192 - 174 = 18
3. Bring down next digit: 183
4. 58 into 183:
- 58 × 3 = 174
- 58 × 4 = 232 → too big
So, 3
5. Subtract: 183 - 174 = 9
6. Bring down next digit: 96
7. 58 into 96:
- 58 × 1 = 58
- 58 × 2 = 116 → too big
So, 1
8. Subtract: 96 - 58 = 38
So, the quotient is 331, remainder 38
✔ Answer: 331 R38
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2. 24 ÷ 38,619
Divide 38,619 ÷ 24
#### Step-by-step:
1. 24 into 38:
- 24 × 1 = 24
- 24 × 2 = 48 → too big
So, 1
2. Subtract: 38 - 24 = 14
3. Bring down 6 → 146
4. 24 into 146:
- 24 × 6 = 144
- 24 × 7 = 168 → too big
So, 6
5. Subtract: 146 - 144 = 2
6. Bring down 1 → 21
7. 24 into 21: 0 times → write 0
8. Bring down 9 → 219
9. 24 into 219:
- 24 × 9 = 216
- 24 × 10 = 240 → too big
So, 9
10. Subtract: 219 - 216 = 3
✔ Answer: 1609 R3
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3. 18 ÷ 72,146
Divide 72,146 ÷ 18
#### Step-by-step:
1. 18 into 72:
- 18 × 4 = 72 → exactly
So, 4
2. Subtract: 72 - 72 = 0
3. Bring down 1 → 01 → 1
4. 18 into 1: 0 → write 0
5. Bring down 4 → 14
6. 18 into 14: 0 → write 0
7. Bring down 6 → 146
8. 18 into 146:
- 18 × 8 = 144
- 18 × 9 = 162 → too big
So, 8
9. Subtract: 146 - 144 = 2
✔ Answer: 4008 R2
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4. 98 ÷ 68,050
Divide 68,050 ÷ 98
#### Step-by-step:
1. 98 into 680:
- 98 × 6 = 588
- 98 × 7 = 686 → too big
So, 6
2. Subtract: 680 - 588 = 92
3. Bring down 5 → 925
4. 98 into 925:
- 98 × 9 = 882
- 98 × 10 = 980 → too big
So, 9
5. Subtract: 925 - 882 = 43
6. Bring down 0 → 430
7. 98 into 430:
- 98 × 4 = 392
- 98 × 5 = 490 → too big
So, 4
8. Subtract: 430 - 392 = 38
✔ Answer: 694 R38
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5. 55 ÷ 58,988
Divide 58,988 ÷ 55
#### Step-by-step:
1. 55 into 58:
- 55 × 1 = 55
- 55 × 2 = 110 → too big
So, 1
2. Subtract: 58 - 55 = 3
3. Bring down 9 → 39
4. 55 into 39: 0 → write 0
5. Bring down 8 → 398
6. 55 into 398:
- 55 × 7 = 385
- 55 × 8 = 440 → too big
So, 7
7. Subtract: 398 - 385 = 13
8. Bring down 8 → 138
9. 55 into 138:
- 55 × 2 = 110
- 55 × 3 = 165 → too big
So, 2
10. Subtract: 138 - 110 = 28
✔ Answer: 1072 R28
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6. 92 ÷ 52,268
Divide 52,268 ÷ 92
#### Step-by-step:
1. 92 into 522:
- 92 × 5 = 460
- 92 × 6 = 552 → too big
So, 5
2. Subtract: 522 - 460 = 62
3. Bring down 6 → 626
4. 92 into 626:
- 92 × 6 = 552
- 92 × 7 = 644 → too big
So, 6
5. Subtract: 626 - 552 = 74
6. Bring down 8 → 748
7. 92 into 748:
- 92 × 8 = 736
- 92 × 9 = 828 → too big
So, 8
8. Subtract: 748 - 736 = 12
✔ Answer: 568 R12
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✔ Final Answers:
1. 19,236 ÷ 58 = 331 R38
2. 38,619 ÷ 24 = 1609 R3
3. 72,146 ÷ 18 = 4008 R2
4. 68,050 ÷ 98 = 694 R38
5. 58,988 ÷ 55 = 1072 R28
6. 52,268 ÷ 92 = 568 R12
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Let me know if you'd like these written out in long division format!
Parent Tip: Review the logic above to help your child master the concept of 6th grade long division worksheet.