$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+5;}{\phantom{;}x^{2}-8x\phantom{;}+40\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+5\overline{\smash{)}\phantom{;}x^{3}-3x^{2}\phantom{-;x^n}+55\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+5;}\underline{-x^{3}-5x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}-5x^{2};}-8x^{2}\phantom{-;x^n}+55\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n;}\underline{\phantom{;}8x^{2}+40x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}8x^{2}+40x\phantom{;}-;x^n;}\phantom{;}40x\phantom{;}+55\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n-;x^n;}\underline{-40x\phantom{;}-200\phantom{;}\phantom{;}}\\\phantom{;;-40x\phantom{;}-200\phantom{;}\phantom{;}-;x^n-;x^n;}-145\phantom{;}\phantom{;}\\\end{array}$

$x^{2}-8x+40+\frac{-145}{x+5}$