You broke it allready?!?!? Yeah, doing skids is a little rough on the drivetrain. You must have stripped your differential. take a good look at your car's differential, push on the throttle and see if it spins, if the differential spins it could have come
loose or worse, the gears could be stripped(if it had them), I hope its nothing serious, good luck!

By the way...where you running your car with the front belt removed?