$\begin{array}{l}\phantom{\phantom{;}3x\phantom{;}-2;}{\phantom{;}4x^{2}-5x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{;}3x\phantom{;}-2\overline{\smash{)}\phantom{;}12x^{3}-23x^{2}+13x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{\phantom{;}3x\phantom{;}-2;}\underline{-12x^{3}+8x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-12x^{3}+8x^{2};}-15x^{2}+13x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x\phantom{;}-2-;x^n;}\underline{\phantom{;}15x^{2}-10x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}15x^{2}-10x\phantom{;}-;x^n;}\phantom{;}3x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x\phantom{;}-2-;x^n-;x^n;}\underline{-3x\phantom{;}+2\phantom{;}\phantom{;}}\\\phantom{;;-3x\phantom{;}+2\phantom{;}\phantom{;}-;x^n-;x^n;}-1\phantom{;}\phantom{;}\\\end{array}$

$4x^{2}-5x+1+\frac{-1}{3x-2}$