To solve the division problem \( 95 \div 9 \) and find the quotient and remainder, follow these steps:
1. Determine the Quotient:
- To find the quotient, divide the numerator (95) by the denominator (9) and keep the integer part of the division.
- When you divide 95 by 9, the integer part of the division (the quotient) is 10.
2. Determine the Remainder:
- To find the remainder, multiply the quotient (determined in step 1) by the divisor (9) and subtract that product from the original numerator (95).
- The product of the quotient 10 and the divisor 9 is \(10 \times 9 = 90\).
- Subtract this product from the original numerator: \(95 - 90 = 5\).
Thus, the division \( 95 \div 9 \) results in:
- Quotient = 10
- Remainder = 5
In other words, \( 95 \div 9 = 10 \) with a remainder of \( 5 \), which can be written as \( 10 \, r \, 5 \).
Therefore, the correct answer is:
C. [tex]\( 10 \, r \, 5 \)[/tex]
