1. **State the problem:** Simplify the fraction $\frac{85559}{69}$. 2. **Formula and rules:** To simplify a fraction, divide the numerator by the denominator. If the division is exact, the result is an integer; otherwise, it is a decimal or mixed number. 3. **Perform the division:** Calculate $85559 \div 69$. 4. **Calculation:** $85559 \div 69 = 1239$. 5. **Interpretation:** Since the division results in an integer, the fraction simplifies exactly to $1239$. **Final answer:** $1239$