Long Division - 3 Digits By 1 Digit - Without Remainders - 20 ... - Free Printable
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Step-by-step solution for: Long Division - 3 Digits By 1 Digit - Without Remainders - 20 ...
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Show Answer Key & Explanations
Step-by-step solution for: Long Division - 3 Digits By 1 Digit - Without Remainders - 20 ...
Looking at the image, you’ve uploaded a worksheet with 9 long division problems arranged in a 3x3 grid. Each problem is set up with the divisor outside the division bracket and the dividend inside.
Let’s solve each one step by step and explain the process.
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Step-by-step:
- 3 goes into 3 → 1 time → write 1 above the first 3.
- Multiply: 1 × 3 = 3 → subtract → 0.
- Bring down 9 → 09 → 3 goes into 9 → 3 times → write 3 above the 9.
- Multiply: 3 × 3 = 9 → subtract → 0.
- Bring down 6 → 06 → 3 goes into 6 → 2 times → write 2 above the 6.
- Multiply: 2 × 3 = 6 → subtract → 0.
✔ Answer: 132
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Step-by-step:
- 3 into 3 → 1 → 1×3=3 → subtract → 0.
- Bring down 6 → 6 → 3 into 6 → 2 → 2×3=6 → subtract → 0.
- Bring down 9 → 9 → 3 into 9 → 3 → 3×3=9 → subtract → 0.
✔ Answer: 123
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Step-by-step:
- 3 into 6 → 2 → 2×3=6 → subtract → 0.
- Bring down 9 → 9 → 3 into 9 → 3 → 3×3=9 → subtract → 0.
- Bring down 3 → 3 → 3 into 3 → 1 → 1×3=3 → subtract → 0.
✔ Answer: 231
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Step-by-step:
- 3 into 6 → 2 → 2×3=6 → subtract → 0.
- Bring down 3 → 3 → 3 into 3 → 1 → 1×3=3 → subtract → 0.
- Bring down 9 → 9 → 3 into 9 → 3 → 3×3=9 → subtract → 0.
✔ Answer: 213
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Step-by-step:
- 3 into 9 → 3 → 3×3=9 → subtract → 0.
- Bring down 3 → 3 → 3 into 3 → 1 → 1×3=3 → subtract → 0.
- Bring down 6 → 6 → 3 into 6 → 2 → 2×3=6 → subtract → 0.
✔ Answer: 312
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Step-by-step:
- 3 into 9 → 3 → 3×3=9 → subtract → 0.
- Bring down 6 → 6 → 3 into 6 → 2 → 2×3=6 → subtract → 0.
- Bring down 3 → 3 → 3 into 3 → 1 → 1×3=3 → subtract → 0.
✔ Answer: 321
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Step-by-step:
- 3 into 3 → 1 → 1×3=3 → subtract → 0.
- Bring down 3 → 3 → 3 into 3 → 1 → 1×3=3 → subtract → 0.
- Bring down 3 → 3 → 3 into 3 → 1 → 1×3=3 → subtract → 0.
✔ Answer: 111
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Step-by-step:
- 3 into 6 → 2 → 2×3=6 → subtract → 0.
- Bring down 6 → 6 → 3 into 6 → 2 → 2×3=6 → subtract → 0.
- Bring down 6 → 6 → 3 into 6 → 2 → 2×3=6 → subtract → 0.
✔ Answer: 222
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Step-by-step:
- 3 into 9 → 3 → 3×3=9 → subtract → 0.
- Bring down 9 → 9 → 3 into 9 → 3 → 3×3=9 → subtract → 0.
- Bring down 9 → 9 → 3 into 9 → 3 → 3×3=9 → subtract → 0.
✔ Answer: 333
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## ✔ Final Answers (in order, left to right, top to bottom):
```
132 123 231
213 312 321
111 222 333
```
---
## 🧠 Explanation Summary:
All these problems involve dividing a 3-digit number by 3. Since 3 is a small single-digit divisor, we can use basic long division:
1. Divide: How many times does 3 go into the first digit?
2. Multiply: Multiply that quotient digit by 3.
3. Subtract: Subtract from the current digit(s).
4. Bring down: Bring down the next digit.
5. Repeat until all digits are processed.
Since all dividends are divisible by 3 (you can check: sum of digits divisible by 3 → yes for all), there are no remainders.
This worksheet is great for practicing long division with a consistent divisor — reinforcing place value and fluency.
Let me know if you’d like to see the work written out vertically or need help checking your own answers!
Let’s solve each one step by step and explain the process.
---
🔢 Problem 1: 3 ) 396
Step-by-step:
- 3 goes into 3 → 1 time → write 1 above the first 3.
- Multiply: 1 × 3 = 3 → subtract → 0.
- Bring down 9 → 09 → 3 goes into 9 → 3 times → write 3 above the 9.
- Multiply: 3 × 3 = 9 → subtract → 0.
- Bring down 6 → 06 → 3 goes into 6 → 2 times → write 2 above the 6.
- Multiply: 2 × 3 = 6 → subtract → 0.
✔ Answer: 132
---
🔢 Problem 2: 3 ) 369
Step-by-step:
- 3 into 3 → 1 → 1×3=3 → subtract → 0.
- Bring down 6 → 6 → 3 into 6 → 2 → 2×3=6 → subtract → 0.
- Bring down 9 → 9 → 3 into 9 → 3 → 3×3=9 → subtract → 0.
✔ Answer: 123
---
🔢 Problem 3: 3 ) 693
Step-by-step:
- 3 into 6 → 2 → 2×3=6 → subtract → 0.
- Bring down 9 → 9 → 3 into 9 → 3 → 3×3=9 → subtract → 0.
- Bring down 3 → 3 → 3 into 3 → 1 → 1×3=3 → subtract → 0.
✔ Answer: 231
---
🔢 Problem 4: 3 ) 639
Step-by-step:
- 3 into 6 → 2 → 2×3=6 → subtract → 0.
- Bring down 3 → 3 → 3 into 3 → 1 → 1×3=3 → subtract → 0.
- Bring down 9 → 9 → 3 into 9 → 3 → 3×3=9 → subtract → 0.
✔ Answer: 213
---
🔢 Problem 5: 3 ) 936
Step-by-step:
- 3 into 9 → 3 → 3×3=9 → subtract → 0.
- Bring down 3 → 3 → 3 into 3 → 1 → 1×3=3 → subtract → 0.
- Bring down 6 → 6 → 3 into 6 → 2 → 2×3=6 → subtract → 0.
✔ Answer: 312
---
🔢 Problem 6: 3 ) 963
Step-by-step:
- 3 into 9 → 3 → 3×3=9 → subtract → 0.
- Bring down 6 → 6 → 3 into 6 → 2 → 2×3=6 → subtract → 0.
- Bring down 3 → 3 → 3 into 3 → 1 → 1×3=3 → subtract → 0.
✔ Answer: 321
---
🔢 Problem 7: 3 ) 333
Step-by-step:
- 3 into 3 → 1 → 1×3=3 → subtract → 0.
- Bring down 3 → 3 → 3 into 3 → 1 → 1×3=3 → subtract → 0.
- Bring down 3 → 3 → 3 into 3 → 1 → 1×3=3 → subtract → 0.
✔ Answer: 111
---
🔢 Problem 8: 3 ) 666
Step-by-step:
- 3 into 6 → 2 → 2×3=6 → subtract → 0.
- Bring down 6 → 6 → 3 into 6 → 2 → 2×3=6 → subtract → 0.
- Bring down 6 → 6 → 3 into 6 → 2 → 2×3=6 → subtract → 0.
✔ Answer: 222
---
🔢 Problem 9: 3 ) 999
Step-by-step:
- 3 into 9 → 3 → 3×3=9 → subtract → 0.
- Bring down 9 → 9 → 3 into 9 → 3 → 3×3=9 → subtract → 0.
- Bring down 9 → 9 → 3 into 9 → 3 → 3×3=9 → subtract → 0.
✔ Answer: 333
---
## ✔ Final Answers (in order, left to right, top to bottom):
```
132 123 231
213 312 321
111 222 333
```
---
## 🧠 Explanation Summary:
All these problems involve dividing a 3-digit number by 3. Since 3 is a small single-digit divisor, we can use basic long division:
1. Divide: How many times does 3 go into the first digit?
2. Multiply: Multiply that quotient digit by 3.
3. Subtract: Subtract from the current digit(s).
4. Bring down: Bring down the next digit.
5. Repeat until all digits are processed.
Since all dividends are divisible by 3 (you can check: sum of digits divisible by 3 → yes for all), there are no remainders.
This worksheet is great for practicing long division with a consistent divisor — reinforcing place value and fluency.
Let me know if you’d like to see the work written out vertically or need help checking your own answers!
Parent Tip: Review the logic above to help your child master the concept of division worksheet without remainders.