The short answer is "no." Simply because I hate typing in that "code" box. But I can provide you with a
link (which process should be in your text anyway) that shows you the process.
The first step (which is not commonly taken in most problems) in your problem is this:
$\displaystyle \frac{ax + b}{cx + d} = \frac{ax + b}{c \left ( x + \frac{d}{c} \right ) }$
$\displaystyle = \frac{ \frac{1}{c} (ax + b)}{x + \frac{d}{c}}$
$\displaystyle = \frac{\left ( \frac{a}{c} \right ) x + \frac{b}{c}}{x + \frac{d}{c}}$
Now do your long division.
-Dan