To simplify \((23^{65}) / (23^{32})\) using the Quotient Rule of Integer Exponents, we subtract the exponent in the denominator from the exponent in the numerator:
\[ \frac{23^{65}}{23^{32}} = 23^{65 - 32} = 23^{33} \]
So, the simplified expression is \(23^{33}\).