What is the remainder when 2468 is divided by 37?

Options

A. a) 26
B. b) 36
C. c) 18
D. d) 14

Answer

To find the remainder when 2468 is divided by 37, we can follow these steps:

### Step-by-Step Solution:

1. **Set Up the Division**: We need to divide 2468 by 37. This can be written as:
\[ 2468 \div 37 \]

2. **Estimate the Quotient**: We can estimate how many times 37 fits into 2468. To do this, we can use a rough estimate:
- \( 37 \times 60 = 2220 \)
- \( 37 \times 70 = 2590 \) (which is too high)
- So, we can try \( 37 \times 66 \):
\[ 37 \times 66 = 2442 \]
- This is less than 2468.

3. **Calculate the Product**: Now, we calculate \( 37 \times 66 \):
\[ 37 \times 66 = 2442 \]

4. **Subtract to Find the Remainder**: Now, subtract this product from 2468 to find the remainder:
\[ 2468 - 2442 = 26 \]

5. **Conclusion**: The remainder when 2468 is divided by 37 is:
\[ \text{Remainder} = 26 \]

### Final Answer:
The remainder when 2468 is divided by 37 is **26**.

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