Answer
$10x^{3} + 10x^{2} + 60x + 360 + \frac{1360}{x -6}$
Work Step by Step
Since we are dividing by (x - 6) the zero of that x = 6 goes into the top left space.
$\hspace{0mm}\underline{6|}\hspace{5mm}10\hspace{5mm}-50\hspace{5mm}0\hspace{5mm}0\hspace{5mm}-800\hspace{5mm}$
$ \hspace{23mm}\underline{60\hspace{5mm}60\hspace{3mm}360\hspace{5mm}2160}$
$\hspace{8mm}10\hspace{10mm}10\hspace{6mm}60\hspace{3mm}360\hspace{3mm}\underline{|1360}$
Since the bottom right space has a 1360, the remainder is 1360.
