(5x^2-2x+4)/(x-1)
color(white)(....,,......)5x+3
x-1|overline(5x^2-2x+4)
color(white)(............)ul(5x^2-5x)
color(white)(.....................)3x+4
color(white)(..........,,......)ul(3x-3)
color(white)(............................)7
(5x^2-2x+4) / (x-1) = 5x+3+7/(x-1)