To solve the expression \( 7 \div \frac{4}{5} \), we can rewrite the division by a fraction as multiplication by its reciprocal. Therefore, we have:
\[ 7 \div \frac{4}{5} = 7 \times \frac{5}{4} \]
Next, we multiply:
\[ 7 \times \frac{5}{4} = \frac{7 \times 5}{4} = \frac{35}{4} \]
To express this as a mixed number:
\[ \frac{35}{4} = 8 \frac{3}{4} \]
Thus, the quotient of \( 7 \div \frac{4}{5} \) is \( \frac{35}{4} \) or \( 8.75 \) as a decimal.
If the possible answer choices include either \( \frac{35}{4} \) or \( 8.75 \), that would be correct. However, it seems your options may have been misunderstood due to the response of "834". Please recheck the available choices.