hoose the correct option.96 – 11 when divided by 8 would leave a remainder of :

Break Down the Problem

1. Calculate $96 - 11$.
2. Divide the result by 8.
3. Determine the remainder from this division.

Relevant Concepts

• To find the remainder when a number $a$ is divided by $b$, we can use the formula:

$\text{Remainder} = a - b \left( \left\lfloor \frac{a}{b} \right\rfloor \right)$

Analysis and Detail

1. Calculate $96 - 11$: $96 - 11 = 85$

2. Divide 85 by 8: $85 \div 8 = 10.625 \quad \rightarrow \quad \left\lfloor 10.625 \right\rfloor = 10$

3. Calculate $10 \times 8$: $10 \times 8 = 80$

4. Determine the remainder: $\text{Remainder} = 85 - 80 = 5$

Verify and Summarize

• The calculations are checked and the division is performed accurately. Thus, the remainder when $85$ is divided by $8$ is indeed $5$.

Final Answer

The remainder when $96 - 11$ is divided by $8$ is $\boxed{5}$.