$\begin{array}{l}\phantom{\phantom{;}x^{2}+3x\phantom{;}-5;}{\phantom{;}4x^{2}-12x\phantom{;}+47\phantom{;}\phantom{;}}\\\phantom{;}x^{2}+3x\phantom{;}-5\overline{\smash{)}\phantom{;}4x^{4}\phantom{-;x^n}-9x^{2}+3x\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}+3x\phantom{;}-5;}\underline{-4x^{4}-12x^{3}+20x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-4x^{4}-12x^{3}+20x^{2};}-12x^{3}+11x^{2}+3x\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}+3x\phantom{;}-5-;x^n;}\underline{\phantom{;}12x^{3}+36x^{2}-60x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}12x^{3}+36x^{2}-60x\phantom{;}-;x^n;}\phantom{;}47x^{2}-57x\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}+3x\phantom{;}-5-;x^n-;x^n;}\underline{-47x^{2}-141x\phantom{;}+235\phantom{;}\phantom{;}}\\\phantom{;;-47x^{2}-141x\phantom{;}+235\phantom{;}\phantom{;}-;x^n-;x^n;}-198x\phantom{;}+233\phantom{;}\phantom{;}\\\end{array}$

$4x^{2}-12x+47+\frac{-198x+233}{x^2+3x-5}$