Question 1079720
<pre>
           x      -2
       __________________________
3x-2   |   3x^2   -8x   7
       |   3x^2   -2x
       ---------------
                 -6x    7
                 -6x    4
                ----------
                        3
</pre>

You did not say if you wanted simplification, the polynomial division, or partial fraction decomposition.  What is shown is the polynomial division, quotient  {{{x-2+3/(3x-2)}}}.  Remainder was 3.