1. **State the problem:** We need to find the quotient and remainder when dividing the polynomial $5x^4 - 2x^2 - 13x + 8$ by a divisor. However, the divisor is not specified in the problem statement. 2. **Clarify the divisor:** To perform polynomial division, we must know the divisor polynomial. Common divisors might be linear like $x - a$ or quadratic, but since none is given, we cannot proceed. 3. **Conclusion:** Please provide the divisor polynomial to find the quotient and remainder.