To express \( \frac{7}{13} \) as a repeating decimal, we can divide 7 by 13.
Performing the division, we get: \[ 7 \div 13 = 0.538461538461\ldots \] The decimal repeats after "538461." Therefore, we can write:
\[ \frac{7}{13} = 0.\overline{538461} \]
So, the final answer is:
\[ 0.\overline{538461} \]