Answer
$$3x-1+\frac{2}{3x}$$
Work Step by Step
In order to divide monomials, we look for common terms in the numerator and the denominator that can be canceled out. Doing this, we find:
$$\frac{9x^2-3x+2}{3x} \\ 3x-1+\frac{2}{3x}$$
Note, if we wanted to check this answer, we could multiply the answer by the value we canceled out to see if that matched the original numerator.