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Grid-style worksheet designed to help students practice dividing odd two-digit numbers by 2.

Math worksheet featuring nine long division problems where two-digit numbers are divided by 2.

Math worksheet featuring nine long division problems where two-digit numbers are divided by 2.

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Show Answer Key & Explanations Step-by-step solution for: Long Division - 2 Digits By 1 Digit - With Remainders - 8 ...
Let's solve each of the division problems shown in the image. All of them are long division problems where we divide a two-digit number by 2.

We'll go through each one step by step using long division.

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1. $ 47 \div 2 $



- 2 goes into 4 → 2 times (since $ 2 \times 2 = 4 $)
- Subtract: $ 4 - 4 = 0 $
- Bring down 7 → now we have 7
- 2 goes into 7 → 3 times (since $ 2 \times 3 = 6 $)
- Subtract: $ 7 - 6 = 1 $

Answer: $ 23 $ remainder $ 1 $ → $ 23 R1 $

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2. $ 67 \div 2 $



- 2 goes into 6 → 3 times ($ 2 \times 3 = 6 $)
- Subtract: $ 6 - 6 = 0 $
- Bring down 7 → now we have 7
- 2 goes into 7 → 3 times ($ 2 \times 3 = 6 $)
- Subtract: $ 7 - 6 = 1 $

Answer: $ 33 R1 $

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3. $ 85 \div 2 $



- 2 goes into 8 → 4 times ($ 2 \times 4 = 8 $)
- Subtract: $ 8 - 8 = 0 $
- Bring down 5 → now we have 5
- 2 goes into 5 → 2 times ($ 2 \times 2 = 4 $)
- Subtract: $ 5 - 4 = 1 $

Answer: $ 42 R1 $

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4. $ 69 \div 2 $



- 2 goes into 6 → 3 times ($ 2 \times 3 = 6 $)
- Subtract: $ 6 - 6 = 0 $
- Bring down 9 → now we have 9
- 2 goes into 9 → 4 times ($ 2 \times 4 = 8 $)
- Subtract: $ 9 - 8 = 1 $

Answer: $ 34 R1 $

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5. $ 27 \div 2 $



- 2 goes into 2 → 1 time ($ 2 \times 1 = 2 $)
- Subtract: $ 2 - 2 = 0 $
- Bring down 7 → now we have 7
- 2 goes into 7 → 3 times ($ 2 \times 3 = 6 $)
- Subtract: $ 7 - 6 = 1 $

Answer: $ 13 R1 $

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6. $ 47 \div 2 $ *(Repeated)*



Same as problem 1:

Answer: $ 23 R1 $

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7. $ 83 \div 2 $



- 2 goes into 8 → 4 times ($ 2 \times 4 = 8 $)
- Subtract: $ 8 - 8 = 0 $
- Bring down 3 → now we have 3
- 2 goes into 3 → 1 time ($ 2 \times 1 = 2 $)
- Subtract: $ 3 - 2 = 1 $

Answer: $ 41 R1 $

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8. $ 29 \div 2 $



- 2 goes into 2 → 1 time ($ 2 \times 1 = 2 $)
- Subtract: $ 2 - 2 = 0 $
- Bring down 9 → now we have 9
- 2 goes into 9 → 4 times ($ 2 \times 4 = 8 $)
- Subtract: $ 9 - 8 = 1 $

Answer: $ 14 R1 $

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9. $ 65 \div 2 $



- 2 goes into 6 → 3 times ($ 2 \times 3 = 6 $)
- Subtract: $ 6 - 6 = 0 $
- Bring down 5 → now we have 5
- 2 goes into 5 → 2 times ($ 2 \times 2 = 4 $)
- Subtract: $ 5 - 4 = 1 $

Answer: $ 32 R1 $

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Final Answers:



| Problem | Answer |
|--------|--------|
| $ 47 \div 2 $ | $ 23 R1 $ |
| $ 67 \div 2 $ | $ 33 R1 $ |
| $ 85 \div 2 $ | $ 42 R1 $ |
| $ 69 \div 2 $ | $ 34 R1 $ |
| $ 27 \div 2 $ | $ 13 R1 $ |
| $ 47 \div 2 $ | $ 23 R1 $ |
| $ 83 \div 2 $ | $ 41 R1 $ |
| $ 29 \div 2 $ | $ 14 R1 $ |
| $ 65 \div 2 $ | $ 32 R1 $ |

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📌 Pattern Observation:


All these numbers are odd, so dividing by 2 will always give a remainder of 1. The quotient is half of the number, rounded down.

For example:
- $ 47 \div 2 = 23.5 $ → integer part = 23, remainder = 1

So, you can also think of it as:
> $ \text{Quotient} = \left\lfloor \frac{\text{Number}}{2} \right\rfloor $, and remainder = 1 for all odd numbers.

Let me know if you'd like the answers written out in the grid format!
Parent Tip: Review the logic above to help your child master the concept of 2 digit long division worksheet.
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