$\frac{3x^3+5x^2+2x+3}{3x+2}$

$\begin{array}{l}\phantom{\phantom{;}3x\phantom{;}+2;}{\phantom{;}x^{2}+x\phantom{;}\phantom{-;x^n}}\\\phantom{;}3x\phantom{;}+2\overline{\smash{)}\phantom{;}3x^{3}+5x^{2}+2x\phantom{;}+3\phantom{;}\phantom{;}}\\\phantom{\phantom{;}3x\phantom{;}+2;}\underline{-3x^{3}-2x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3x^{3}-2x^{2};}\phantom{;}3x^{2}+2x\phantom{;}+3\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x\phantom{;}+2-;x^n;}\underline{-3x^{2}-2x\phantom{;}\phantom{-;x^n}}\\\phantom{;-3x^{2}-2x\phantom{;}-;x^n;}\phantom{;}3\phantom{;}\phantom{;}\\\end{array}$

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