$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+4;}{\phantom{;}23x^{4}-92x^{3}+368x^{2}-1472x\phantom{;}+5888\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+4\overline{\smash{)}\phantom{;}23x^{5}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}-24\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+4;}\underline{-23x^{5}-92x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-23x^{5}-92x^{4};}-92x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}-24\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+4-;x^n;}\underline{\phantom{;}92x^{4}+368x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}92x^{4}+368x^{3}-;x^n;}\phantom{;}368x^{3}\phantom{-;x^n}\phantom{-;x^n}-24\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+4-;x^n-;x^n;}\underline{-368x^{3}-1472x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;-368x^{3}-1472x^{2}-;x^n-;x^n;}-1472x^{2}\phantom{-;x^n}-24\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+4-;x^n-;x^n-;x^n;}\underline{\phantom{;}1472x^{2}+5888x\phantom{;}\phantom{-;x^n}}\\\phantom{;;;\phantom{;}1472x^{2}+5888x\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}5888x\phantom{;}-24\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+4-;x^n-;x^n-;x^n-;x^n;}\underline{-5888x\phantom{;}-23552\phantom{;}\phantom{;}}\\\phantom{;;;;-5888x\phantom{;}-23552\phantom{;}\phantom{;}-;x^n-;x^n-;x^n-;x^n;}-23576\phantom{;}\phantom{;}\\\end{array}$

$23x^{4}-92x^{3}+368x^{2}-1472x+5888+\frac{-23576}{x+4}$