To divide the fractions \( \frac{7}{8} \) by \( \frac{3}{5} \), you can multiply by the reciprocal of the second fraction. Here’s the calculation:
\[ \frac{7}{8} \div \frac{3}{5} = \frac{7}{8} \times \frac{5}{3} \]
Now, multiply the numerators and denominators:
\[ = \frac{7 \times 5}{8 \times 3} = \frac{35}{24} \]
The result is \( \frac{35}{24} \), which can be expressed as a mixed number:
\[ 35 \div 24 = 1 \quad \text{(with a remainder of 11)} \]
So, \( \frac{35}{24} = 1 \frac{11}{24} \).
Therefore, the answer is \( \frac{35}{24} \) or \( 1 \frac{11}{24} \).