When 1234567891011121314 is divided by 8, the remainder obtained is ?

Options

A. 4
B. 2
C. 6
D. 3

Answer

To find the remainder when the number 1234567891011121314 is divided by 8, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Last Three Digits**:
The remainder when a number is divided by 8 can be determined by looking at its last three digits. For the number 1234567891011121314, the last three digits are 314.

2. **Divide the Last Three Digits by 8**:
Now we need to divide 314 by 8 to find the remainder.
- Perform the division:
\[ 314 \div 8 = 39 \quad \text{(whole number part)} \]
- Multiply the whole number part by 8:
\[ 39 \times 8 = 312 \]

3. **Calculate the Remainder**:
Now, subtract this product from 314 to find the remainder:
\[ 314 - 312 = 2 \]

4. **Conclusion**:
Therefore, the remainder when 1234567891011121314 is divided by 8 is **2**.

### Final Answer:
The remainder is **2**.