Answer
$$4x-5+\frac{1}{2x}$$
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:
$$\frac{8x^2-10x+1}{2x} \\ 4x-5+\frac{1}{2x}$$
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.