$\begin{array}{l}\phantom{\phantom{;}x^{2}-3;}{\phantom{;}4x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{;}x^{2}-3\overline{\smash{)}\phantom{;}4x^{3}-3x^{2}+2x\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}-3;}\underline{-4x^{3}\phantom{-;x^n}+12x\phantom{;}\phantom{-;x^n}}\\\phantom{-4x^{3}+12x\phantom{;};}-3x^{2}+14x\phantom{;}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}-3-;x^n;}\underline{\phantom{;}3x^{2}\phantom{-;x^n}-9\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}3x^{2}-9\phantom{;}\phantom{;}-;x^n;}\phantom{;}14x\phantom{;}-10\phantom{;}\phantom{;}\\\end{array}$

$4x-3+\frac{14x-10}{x^2-3}$