Use synthetic division to find the quotient and remainder.

Question

(r^2-2r+2), (r-1)

Answer 1

sort of hard to line numbers up nicely in this format, the .... represents spaces

1 | 1 -2 +2
......... 1 ..-1
..... 1 -1 1

so (r^2 - 2r + 2) ÷ (r-1) = r-1 + 1/(r-1)

or

r-1 with a remainder of 1

Answer 2

for a nice online worksheet that does proper formatting and shows all the details, try calc101.com and click on the "long division" button.