To solve the expression \( 7 \div \frac{4}{5} \), we can rewrite the division of a fraction as multiplying by its reciprocal:
\[ 7 \div \frac{4}{5} = 7 \times \frac{5}{4} \]
Next, we can multiply:
\[ 7 \times \frac{5}{4} = \frac{7 \times 5}{4} = \frac{35}{4} \]
Now, this fraction can be expressed as a mixed number:
\[ \frac{35}{4} = 8 \text{ remainder } 3 = 8 \frac{3}{4} \]
Thus, the quotient of \( 7 \div \frac{4}{5} \) is:
\[ \text{Response: } 8 \frac{3}{4} \]