wood fireplace insert

[kieth4548]

I have a wood fireplace insert and it has a damper at the entrance from the fireplace to the pipe. It has what apears to be 10" stove pipe. Can someone tell me the best way to clean the pipe. It apears is has two swooping bends when I look up the pipe. I have a furance add on and use a brush, but how do I clean this with the damper. Usually I push my brush all the way through and bring it back up but since this has a damper what do I need to do.

thanks
kieth