Answer
$12x+6x^2y-3.$
Work Step by Step
We divide each term of the polynomial by the monomial as follows
$$
\frac{24x^2y^3 + 12x^3y^4 - 6xy^3}{2xy^3 }= \frac{24x^2y^3 }{2xy^3 }+\frac{ 12x^3y^4 }{2xy^3 }+\frac{ - 6xy^3}{2xy^3 } \\
=12x+6x^2y-3.
$$