$\begin{array}{l}\phantom{\phantom{;}3x^{2}+2;}{\phantom{;}3x\phantom{;}+2\phantom{;}\phantom{;}}\\\phantom{;}3x^{2}+2\overline{\smash{)}\phantom{;}9x^{3}+6x^{2}+3x\phantom{;}+10\phantom{;}\phantom{;}}\\\phantom{\phantom{;}3x^{2}+2;}\underline{-9x^{3}\phantom{-;x^n}-6x\phantom{;}\phantom{-;x^n}}\\\phantom{-9x^{3}-6x\phantom{;};}\phantom{;}6x^{2}-3x\phantom{;}+10\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x^{2}+2-;x^n;}\underline{-6x^{2}\phantom{-;x^n}-4\phantom{;}\phantom{;}}\\\phantom{;-6x^{2}-4\phantom{;}\phantom{;}-;x^n;}-3x\phantom{;}+6\phantom{;}\phantom{;}\\\end{array}$

$3x+2+\frac{-3x+6}{3x^2+2}$