On dividing 5035 by31,the remainder is 13 . Find the quotient.

Answer

To find the quotient when dividing 5035 by 31 with a remainder of 13, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between Dividend, Divisor, Quotient, and Remainder:**
The formula we use is:
\[ \text{Dividend} = \text{Divisor} \times \text{Quotient} + \text{Remainder} \]

2. **Identify the known values:**
- Dividend = 5035
- Divisor = 31
- Remainder = 13

3. **Substitute the known values into the formula:**
\[ 5035 = 31 \times \text{Quotient} + 13 \]

4. **Rearrange the equation to isolate the term with the Quotient:**
\[ 5035 - 13 = 31 \times \text{Quotient} \]
\[ 5022 = 31 \times \text{Quotient} \]

5. **Divide both sides by the Divisor (31) to find the Quotient:**
\[ \text{Quotient} = \frac{5022}{31} \]

6. **Perform the division:**
\[ \text{Quotient} = 162 \]

### Final Answer:
The quotient when 5035 is divided by 31 with a remainder of 13 is **162**.