To solve \( \frac{7}{3} \div \frac{3}{8} \), you can multiply by the reciprocal of the second fraction.
This gives:
\[ \frac{7}{3} \times \frac{8}{3} \]
Now, multiply the numerators together and the denominators together:
\[ \frac{7 \times 8}{3 \times 3} = \frac{56}{9} \]
So, the answer is \( \frac{56}{9} \).
The correct option is:
C. \( \frac{56}{9} \)