$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+4;}{\phantom{;}x^{2}-4x\phantom{;}+18\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+4\overline{\smash{)}\phantom{;}x^{3}\phantom{-;x^n}+2x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+4;}\underline{-x^{3}-4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}-4x^{2};}-4x^{2}+2x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+4-;x^n;}\underline{\phantom{;}4x^{2}+16x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}4x^{2}+16x\phantom{;}-;x^n;}\phantom{;}18x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+4-;x^n-;x^n;}\underline{-18x\phantom{;}-72\phantom{;}\phantom{;}}\\\phantom{;;-18x\phantom{;}-72\phantom{;}\phantom{;}-;x^n-;x^n;}-75\phantom{;}\phantom{;}\\\end{array}$

$x^{2}-4x+18+\frac{-75}{x+4}$