soo this may seem a little awkwark but it still should provide the same resault however its faster :)
so we have
(48x^5-16x^3+40x)/8x
What we are going to be doing is factoring out any and all possibilities for
(48x^5-16x^3+40x)
first factor
(8x(6x^4-2x^2+5))/8x
when we get to this step simplify 8x
we are left with 6x^4-2x^2+5
in order to get an answer that would often be used by long devision just get rid of the +5
This is just a remainder using long devision your instructer may ask for
6x^4-2x^2
Hope it helps