Exponents and Polynomials Dividing a polynomial by a monomial: Multivariate Divide. \[ \frac{-8 u^{3} x^{5}+12 u^{2} x}{-3 u^{3} x^{5}} \] Simplify your answer as much as possible.

Step 1 ：The problem is asking to divide a polynomial by a monomial. In this case, the polynomial is \(-8u^3x^5 + 12u^2x\) and the monomial is \(-3u^3x^5\). To solve this, we need to divide each term of the polynomial by the monomial separately.

Step 2 ：Divide the first term of the polynomial \(-8u^3x^5\) by the monomial \(-3u^3x^5\), which simplifies to \(\frac{8}{3}\).

Step 3 ：Next, divide the second term of the polynomial \(12u^2x\) by the monomial \(-3u^3x^5\), which simplifies to \(-\frac{4}{u x^{4}}\).

Step 4 ：Combine the results of the two divisions to get the final answer.

Step 5 ：Final Answer: The simplified result of the division is \(\boxed{\frac{8}{3} - \frac{4}{u x^{4}}}\)