On dividing 397246 by a certain number, the quotient is 865 and the remainder is 211. The divisor is

Options

A. 435
B. 432
C. 459
D. 482

Answer

To find the divisor in the given problem, we will use the relationship between the dividend, divisor, quotient, and remainder. The formula we will use is:

**Dividend = (Divisor × Quotient) + Remainder**

Given:
- Dividend = 397246
- Quotient = 865
- Remainder = 211

We need to find the divisor.

### Step-by-Step Solution:

1. **Write the equation using the formula**:
\[ 397246 = (Divisor \times 865) + 211 \]

2. **Rearrange the equation to isolate the term with the divisor**:
\[ 397246 - 211 = Divisor \times 865 \]

3. **Calculate the left side**:
\[ 397246 - 211 = 397035 \]
So, we have:
\[ 397035 = Divisor \times 865 \]

4. **Now, divide both sides by 865 to solve for the divisor**:
\[ Divisor = \frac{397035}{865} \]

5. **Perform the division**:
\[ Divisor = 459 \]

Thus, the divisor is **459**.