What is 768 divided by 8?

The largest multiple of 8 less than or equal to 76 is 72 ($8 \times 9$).
Write 9 above the 6 in 768.

$$\begin{array}{r} 9 \\ 8 \overline{) 768} \\ -72 \downarrow \\ \hline 4 \end{array}$$

Bring down the next digit, 8, to form 48.

$$\begin{array}{r} 9 \\ 8 \overline{) 768} \\ -72 \downarrow \\ \hline 48 \end{array}$$

$8 \times 6 = 48$.
Write 6 above the 8 in 768.

$$\begin{array}{r} 96 \\ 8 \overline{) 768} \\ -72 \downarrow \\ \hline 48 \\ -48 \\ \hline 0 \end{array}$$

The remainder is 0.

The final answer is $\text{96}$.