$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-1;}{\phantom{;}x^{4}+x^{3}-24x^{2}-23x\phantom{;}-23\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-1\overline{\smash{)}\phantom{;}x^{5}\phantom{-;x^n}-25x^{3}+x^{2}\phantom{-;x^n}-25\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-1;}\underline{-x^{5}+x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{5}+x^{4};}\phantom{;}x^{4}-25x^{3}+x^{2}\phantom{-;x^n}-25\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n;}\underline{-x^{4}+x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-x^{4}+x^{3}-;x^n;}-24x^{3}+x^{2}\phantom{-;x^n}-25\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n-;x^n;}\underline{\phantom{;}24x^{3}-24x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;\phantom{;}24x^{3}-24x^{2}-;x^n-;x^n;}-23x^{2}\phantom{-;x^n}-25\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n-;x^n-;x^n;}\underline{\phantom{;}23x^{2}-23x\phantom{;}\phantom{-;x^n}}\\\phantom{;;;\phantom{;}23x^{2}-23x\phantom{;}-;x^n-;x^n-;x^n;}-23x\phantom{;}-25\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n-;x^n-;x^n-;x^n;}\underline{\phantom{;}23x\phantom{;}-23\phantom{;}\phantom{;}}\\\phantom{;;;;\phantom{;}23x\phantom{;}-23\phantom{;}\phantom{;}-;x^n-;x^n-;x^n-;x^n;}-48\phantom{;}\phantom{;}\\\end{array}$

$x^{4}+x^{3}-24x^{2}-23x-23+\frac{-48}{x-1}$