To simplify the expression \(\frac{11^{17}}{11}\), we can use the property of exponents that states \(\frac{a^m}{a^n} = a^{m-n}\).
Applying this property:
\[ \frac{11^{17}}{11} = \frac{11^{17}}{11^1} = 11^{17-1} = 11^{16} \]
So, the simplified form of the expression is:
\[ \boxed{11^{16}} \]