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 when dividing 397246 by a certain number, we can use the relationship between the dividend, divisor, quotient, and remainder. The formula we will use is:

\[ \text{Dividend} = \text{Divisor} \times \text{Quotient} + \text{Remainder} \]

### Step-by-step Solution:

1. **Identify the known values:**
- Dividend (D) = 397246
- Quotient (Q) = 865
- Remainder (R) = 211

2. **Substitute the known values into the formula:**
\[ 397246 = \text{Divisor} \times 865 + 211 \]

3. **Rearrange the equation to isolate the divisor:**
\[ 397246 - 211 = \text{Divisor} \times 865 \]

4. **Calculate the left side:**
\[ 397246 - 211 = 397035 \]

5. **Now the equation looks like this:**
\[ 397035 = \text{Divisor} \times 865 \]

6. **To find the divisor, divide both sides by 865:**
\[ \text{Divisor} = \frac{397035}{865} \]

7. **Perform the division:**
\[ \text{Divisor} = 459 \]

### Final Answer:
The divisor is **459**.