$\begin{array}{l}\phantom{\phantom{;}y\phantom{;}-1;}{\phantom{;}7y^{4}+10y^{3}+10y^{2}+9y\phantom{;}+11\phantom{;}\phantom{;}}\\\phantom{;}y\phantom{;}-1\overline{\smash{)}\phantom{;}7y^{5}+3y^{4}\phantom{-;x^n}-y^{2}+2y\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}y\phantom{;}-1;}\underline{-7y^{5}+7y^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-7y^{5}+7y^{4};}\phantom{;}10y^{4}\phantom{-;x^n}-y^{2}+2y\phantom{;}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}y\phantom{;}-1-;x^n;}\underline{-10y^{4}+10y^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-10y^{4}+10y^{3}-;x^n;}\phantom{;}10y^{3}-y^{2}+2y\phantom{;}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}y\phantom{;}-1-;x^n-;x^n;}\underline{-10y^{3}+10y^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;-10y^{3}+10y^{2}-;x^n-;x^n;}\phantom{;}9y^{2}+2y\phantom{;}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}y\phantom{;}-1-;x^n-;x^n-;x^n;}\underline{-9y^{2}+9y\phantom{;}\phantom{-;x^n}}\\\phantom{;;;-9y^{2}+9y\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}11y\phantom{;}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}y\phantom{;}-1-;x^n-;x^n-;x^n-;x^n;}\underline{-11y\phantom{;}+11\phantom{;}\phantom{;}}\\\phantom{;;;;-11y\phantom{;}+11\phantom{;}\phantom{;}-;x^n-;x^n-;x^n-;x^n;}\phantom{;}10\phantom{;}\phantom{;}\\\end{array}$

$7y^{4}+10y^{3}+10y^{2}+9y+11+\frac{10}{y-1}$