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Long Division - 3 Digits By 1 Digit - Without Remainders - 20 ... - Free Printable

Long Division - 3 Digits By 1 Digit - Without Remainders - 20 ...

Educational worksheet: Long Division - 3 Digits By 1 Digit - Without Remainders - 20 .... Download and print for classroom or home learning activities.

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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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🔢 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

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🔢 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

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🔢 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

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🔢 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

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🔢 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

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🔢 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

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🔢 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

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🔢 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

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🔢 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

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## Final Answers (in order, left to right, top to bottom):

```
132 123 231
213 312 321
111 222 333
```

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## 🧠 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.
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