To simplify the expression \( \frac{918^{10}}{918^{5}} \), we can use the laws of exponents. Specifically, when dividing two powers with the same base, we subtract the exponents:
\[ \frac{a^m}{a^n} = a^{m-n} \]
Applying this to our expression:
\[ \frac{918^{10}}{918^{5}} = 918^{10 - 5} = 918^{5} \]
Thus, the simplified expression is:
\[ \boxed{918^5} \]
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