To find the quotient and the remainder when 74 is divided by 9, we can follow these steps:
1. Set up the division: We're dividing 74 by 9.
2. Determine how many times 9 can go into the initial part of 74:
- 9 goes into 74 a certain number of times without exceeding it. Let's find how many times that is.
3. Calculate the quotient:
- Find how many times 9 fits completely into 74. The largest multiple of 9 that is less than 74 is 9 times 8, which equals 72. Therefore, 9 can go into 74 exactly 8 times.
4. Calculate the remainder:
- Subtract the product of the quotient and the divisor from the original number: 74 - (9 * 8) = 74 - 72 = 2.
So, when 74 is divided by 9, the quotient is 8 and the remainder is 2.
Therefore, the correct answer is [tex]\( \text{B.) } 8 \, r \, 2 \)[/tex].
