Question 1004939
This computer doesn't lend itself to clearly showing this but I will try...
(6x^5-3x^2+x-2)÷(x-1) = 

1)  6  0  0  -3  1  -2
__6__6___6__3___4______
    6  6  6   3  4  | 2

It sorta worked... but the answer is right:
6x^4+6x^3+6x^2+3x+4 + 2/(x-1)