Hi, as everyone else has said the link with the walk through on how to remove the pump is excellent (http://www.almesberger.net/ld87/al03.html). I have a Hotpoint FDF 780P and I followed this, although my pump was slightly different to access (see bellow), and I found a small piece of glass in the pump. Removed this, re-assembled and it worked perfectly. saved me £110 which is what Hotpoint wanted to send an engineer!
To access my pump it was easier than the walk through. I took the machine outside and laid it on its side. I didn't need to remove a side panel because there is plastic access pannel underneath the machine that simply unclipped by hand. Under this panel the pump will be right in front of you, its the unit with the waste water hose comming out of it. To remove the pump I first pulled the hose away from the pump, by hand. Next there is a plastic catch that is preventing the pump body to rotate, push this catch so that the pump can easily rotate. You don't need much pressure so if it doesn't easily rotate you probably haven't released the clip enough.
Once the pump can rotate, in a clockwise direction, it will easily come out. You will then see if there is anything in the pump. Then simply put the pump back rotate it anti-clockwise until it stops, push the hose back in and your done.
I hope that helps.
Big Moose Monster, June 2011