Certainly! Let's find both the quotient and the remainder when 35 is divided by 13.
### Step-by-Step Solution:
1. Identify the Dividend and Divisor:
- Dividend: 35
- Divisor: 13
2. Division to Find the Quotient:
- Divide 35 by 13.
To determine how many times 13 fits into 35 without exceeding it, you can consider that:
[tex]\[
13 \times 1 = 13 \quad (\text{less than 35})
\][/tex]
[tex]\[
13 \times 2 = 26 \quad (\text{less than 35})
\][/tex]
[tex]\[
13 \times 3 = 39 \quad (\text{greater than 35, so 13 fits only 2 times})
\][/tex]
Thus, the quotient is 2.
3. Multiply and Subtract to Find the Remainder:
- Multiply the quotient by the divisor:
[tex]\[
2 \times 13 = 26
\][/tex]
- Subtract this product from the original dividend to find the remainder:
[tex]\[
35 - 26 = 9
\][/tex]
### Conclusion:
- The quotient is 2.
- The remainder is 9.
So, when 35 is divided by 13, the quotient is 2 and the remainder is 9. Therefore, [tex]\(35 \div 13\)[/tex] gives a quotient of 2 with a remainder of 9.
The result is:
[tex]\[
(2, 9)
\][/tex]
This means 13 fits into 35 exactly 2 times with 9 left over.
