Answer
$5w-1-\frac{3}{w}.$
Work Step by Step
We divide each term of the polynomial by the monomial as follows
$$
\frac{55w^2 - 11w - 33}{11w }= \frac{55w^2 }{11w }+ \frac{ - 11w }{11w }+ \frac{ - 33}{11w } \\
=5w-1-\frac{3}{w}.
$$
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