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.
PNG
1406×1950
79 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #324502
⭐
Show Answer Key & Explanations
Step-by-step solution for: Long Division - 2 Digits By 1 Digit - With Remainders - 8 ...
▼
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.
---
- 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 $
---
- 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 $
---
- 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 $
---
- 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 $
---
- 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 $
---
Same as problem 1:
✔ Answer: $ 23 R1 $
---
- 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 $
---
- 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 $
---
- 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 $
---
| 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 $ |
---
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!
We'll go through each one step by step using long division.
---
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 $
---
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 $
---
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 $
---
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 $
---
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 $
---
6. $ 47 \div 2 $ *(Repeated)*
Same as problem 1:
✔ Answer: $ 23 R1 $
---
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 $
---
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 $
---
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 $
---
✔ 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 $ |
---
📌 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.