$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+4;}{\phantom{;}x^{2}-4x\phantom{;}+17\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+4\overline{\smash{)}\phantom{;}x^{3}\phantom{-;x^n}+x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+4;}\underline{-x^{3}-4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}-4x^{2};}-4x^{2}+x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+4-;x^n;}\underline{\phantom{;}4x^{2}+16x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}4x^{2}+16x\phantom{;}-;x^n;}\phantom{;}17x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+4-;x^n-;x^n;}\underline{-17x\phantom{;}-68\phantom{;}\phantom{;}}\\\phantom{;;-17x\phantom{;}-68\phantom{;}\phantom{;}-;x^n-;x^n;}-71\phantom{;}\phantom{;}\\\end{array}$

$x^{2}-4x+17+\frac{-71}{x+4}$