Can someone explain synthetic division to me please

http://www.youtube.com/watch?v=bZoMz1Cy1…
http://www.youtube.com/watch?v=KhPi6Mk3r…

if you get something like

x^2+ 1 and x - 2
you set it up like this
x-2=0
x=2....... x^2+0x+1
.............1......0.....1
.....................2......4
_________________
.............1......2.......5

watch the videos and it should help you