Long Division Worksheets & Problems (Free Printable Math Drills ... - Free Printable
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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 of these long division problems step by step. The task is to divide a 3-digit number by a 1-digit number, and all divisions result in whole numbers (no remainders).
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- How many times does 5 go into 8? → 1 time (since $5 \times 1 = 5$)
- Subtract: $8 - 5 = 3$
- Bring down 4 → 34
- How many times does 5 go into 34? → 6 times ($5 \times 6 = 30$)
- Subtract: $34 - 30 = 4$
- Bring down 0 → 40
- How many times does 5 go into 40? → 8 times ($5 \times 8 = 40$)
- Subtract: $40 - 40 = 0$
✔ Answer: 168
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- 6 into 18 → 3 times ($6 \times 3 = 18$)
- Subtract: $18 - 18 = 0$
- Bring down 6 → 6
- 6 into 6 → 1 time ($6 \times 1 = 6$)
- Subtract: $6 - 6 = 0$
✔ Answer: 31
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- 3 into 3 → 1 time ($3 \times 1 = 3$)
- Subtract: $3 - 3 = 0$
- Bring down 7 → 7
- 3 into 7 → 2 times ($3 \times 2 = 6$)
- Subtract: $7 - 6 = 1$
- Bring down 5 → 15
- 3 into 15 → 5 times ($3 \times 5 = 15$)
- Subtract: $15 - 15 = 0$
✔ Answer: 125
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- 4 into 6 → 1 time ($4 \times 1 = 4$)
- Subtract: $6 - 4 = 2$
- Bring down 2 → 22
- 4 into 22 → 5 times ($4 \times 5 = 20$)
- Subtract: $22 - 20 = 2$
- Bring down 0 → 20
- 4 into 20 → 5 times ($4 \times 5 = 20$)
- Subtract: $20 - 20 = 0$
✔ Answer: 155
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- 4 into 4 → 1 time ($4 \times 1 = 4$)
- Subtract: $4 - 4 = 0$
- Bring down 0 → 0
- 4 into 0 → 0 times
- Bring down 4 → 4
- 4 into 4 → 1 time
✔ Answer: 101
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- 5 into 8 → 1 time ($5 \times 1 = 5$)
- Subtract: $8 - 5 = 3$
- Bring down 2 → 32
- 5 into 32 → 6 times ($5 \times 6 = 30$)
- Subtract: $32 - 30 = 2$
- Bring down 5 → 25
- 5 into 25 → 5 times ($5 \times 5 = 25$)
- Subtract: $25 - 25 = 0$
✔ Answer: 165
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- 2 into 3 → 1 time ($2 \times 1 = 2$)
- Subtract: $3 - 2 = 1$
- Bring down 2 → 12
- 2 into 12 → 6 times ($2 \times 6 = 12$)
- Subtract: $12 - 12 = 0$
- Bring down 2 → 2
- 2 into 2 → 1 time
✔ Answer: 161
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- 7 into 3 → 0, so consider 32
- 7 into 32 → 4 times ($7 \times 4 = 28$)
- Subtract: $32 - 28 = 4$
- Bring down 9 → 49
- 7 into 49 → 7 times ($7 \times 7 = 49$)
- Subtract: $49 - 49 = 0$
✔ Answer: 47
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- 9 into 4 → 0, so consider 44
- 9 into 44 → 4 times ($9 \times 4 = 36$)
- Subtract: $44 - 36 = 8$
- Bring down 1 → 81
- 9 into 81 → 9 times ($9 \times 9 = 81$)
- Subtract: $81 - 81 = 0$
✔ Answer: 49
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- 8 into 2 → 0, so consider 28
- 8 into 28 → 3 times ($8 \times 3 = 24$)
- Subtract: $28 - 24 = 4$
- Bring down 0 → 40
- 8 into 40 → 5 times ($8 \times 5 = 40$)
- Subtract: $40 - 40 = 0$
✔ Answer: 35
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- 7 into 2 → 0, so consider 28
- 7 into 28 → 4 times ($7 \times 4 = 28$)
- Subtract: $28 - 28 = 0$
- Bring down 0 → 0
- 7 into 0 → 0
✔ Answer: 40
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- 6 into 5 → 0, so consider 57
- 6 into 57 → 9 times ($6 \times 9 = 54$)
- Subtract: $57 - 54 = 3$
- Bring down 6 → 36
- 6 into 36 → 6 times ($6 \times 6 = 36$)
- Subtract: $36 - 36 = 0$
✔ Answer: 96
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| Problem | Quotient |
|--------|----------|
| 1) | 168 |
| 2) | 31 |
| 3) | 125 |
| 4) | 155 |
| 5) | 101 |
| 6) | 165 |
| 7) | 161 |
| 8) | 47 |
| 9) | 49 |
| 10) | 35 |
| 11) | 40 |
| 12) | 96 |
All divisions are exact with no remainders, as required.
Let me know if you'd like the steps shown in long division format!
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1) $ 840 \div 5 $
- How many times does 5 go into 8? → 1 time (since $5 \times 1 = 5$)
- Subtract: $8 - 5 = 3$
- Bring down 4 → 34
- How many times does 5 go into 34? → 6 times ($5 \times 6 = 30$)
- Subtract: $34 - 30 = 4$
- Bring down 0 → 40
- How many times does 5 go into 40? → 8 times ($5 \times 8 = 40$)
- Subtract: $40 - 40 = 0$
✔ Answer: 168
---
2) $ 186 \div 6 $
- 6 into 18 → 3 times ($6 \times 3 = 18$)
- Subtract: $18 - 18 = 0$
- Bring down 6 → 6
- 6 into 6 → 1 time ($6 \times 1 = 6$)
- Subtract: $6 - 6 = 0$
✔ Answer: 31
---
3) $ 375 \div 3 $
- 3 into 3 → 1 time ($3 \times 1 = 3$)
- Subtract: $3 - 3 = 0$
- Bring down 7 → 7
- 3 into 7 → 2 times ($3 \times 2 = 6$)
- Subtract: $7 - 6 = 1$
- Bring down 5 → 15
- 3 into 15 → 5 times ($3 \times 5 = 15$)
- Subtract: $15 - 15 = 0$
✔ Answer: 125
---
4) $ 620 \div 4 $
- 4 into 6 → 1 time ($4 \times 1 = 4$)
- Subtract: $6 - 4 = 2$
- Bring down 2 → 22
- 4 into 22 → 5 times ($4 \times 5 = 20$)
- Subtract: $22 - 20 = 2$
- Bring down 0 → 20
- 4 into 20 → 5 times ($4 \times 5 = 20$)
- Subtract: $20 - 20 = 0$
✔ Answer: 155
---
5) $ 404 \div 4 $
- 4 into 4 → 1 time ($4 \times 1 = 4$)
- Subtract: $4 - 4 = 0$
- Bring down 0 → 0
- 4 into 0 → 0 times
- Bring down 4 → 4
- 4 into 4 → 1 time
✔ Answer: 101
---
6) $ 825 \div 5 $
- 5 into 8 → 1 time ($5 \times 1 = 5$)
- Subtract: $8 - 5 = 3$
- Bring down 2 → 32
- 5 into 32 → 6 times ($5 \times 6 = 30$)
- Subtract: $32 - 30 = 2$
- Bring down 5 → 25
- 5 into 25 → 5 times ($5 \times 5 = 25$)
- Subtract: $25 - 25 = 0$
✔ Answer: 165
---
7) $ 322 \div 2 $
- 2 into 3 → 1 time ($2 \times 1 = 2$)
- Subtract: $3 - 2 = 1$
- Bring down 2 → 12
- 2 into 12 → 6 times ($2 \times 6 = 12$)
- Subtract: $12 - 12 = 0$
- Bring down 2 → 2
- 2 into 2 → 1 time
✔ Answer: 161
---
8) $ 329 \div 7 $
- 7 into 3 → 0, so consider 32
- 7 into 32 → 4 times ($7 \times 4 = 28$)
- Subtract: $32 - 28 = 4$
- Bring down 9 → 49
- 7 into 49 → 7 times ($7 \times 7 = 49$)
- Subtract: $49 - 49 = 0$
✔ Answer: 47
---
9) $ 441 \div 9 $
- 9 into 4 → 0, so consider 44
- 9 into 44 → 4 times ($9 \times 4 = 36$)
- Subtract: $44 - 36 = 8$
- Bring down 1 → 81
- 9 into 81 → 9 times ($9 \times 9 = 81$)
- Subtract: $81 - 81 = 0$
✔ Answer: 49
---
10) $ 280 \div 8 $
- 8 into 2 → 0, so consider 28
- 8 into 28 → 3 times ($8 \times 3 = 24$)
- Subtract: $28 - 24 = 4$
- Bring down 0 → 40
- 8 into 40 → 5 times ($8 \times 5 = 40$)
- Subtract: $40 - 40 = 0$
✔ Answer: 35
---
11) $ 280 \div 7 $
- 7 into 2 → 0, so consider 28
- 7 into 28 → 4 times ($7 \times 4 = 28$)
- Subtract: $28 - 28 = 0$
- Bring down 0 → 0
- 7 into 0 → 0
✔ Answer: 40
---
12) $ 576 \div 6 $
- 6 into 5 → 0, so consider 57
- 6 into 57 → 9 times ($6 \times 9 = 54$)
- Subtract: $57 - 54 = 3$
- Bring down 6 → 36
- 6 into 36 → 6 times ($6 \times 6 = 36$)
- Subtract: $36 - 36 = 0$
✔ Answer: 96
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✔ Final Answers:
| Problem | Quotient |
|--------|----------|
| 1) | 168 |
| 2) | 31 |
| 3) | 125 |
| 4) | 155 |
| 5) | 101 |
| 6) | 165 |
| 7) | 161 |
| 8) | 47 |
| 9) | 49 |
| 10) | 35 |
| 11) | 40 |
| 12) | 96 |
All divisions are exact with no remainders, as required.
Let me know if you'd like the steps shown in long division format!
Parent Tip: Review the logic above to help your child master the concept of 3 digit division worksheet 3rd.