$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+5;}{\phantom{;}x^{2}+3x\phantom{;}-9\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+5\overline{\smash{)}\phantom{;}x^{3}+8x^{2}+6x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+5;}\underline{-x^{3}-5x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}-5x^{2};}\phantom{;}3x^{2}+6x\phantom{;}+1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n;}\underline{-3x^{2}-15x\phantom{;}\phantom{-;x^n}}\\\phantom{;-3x^{2}-15x\phantom{;}-;x^n;}-9x\phantom{;}+1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n-;x^n;}\underline{\phantom{;}9x\phantom{;}+45\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}9x\phantom{;}+45\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}46\phantom{;}\phantom{;}\\\end{array}$

$x^{2}+3x-9+\frac{46}{x+5}$