I'm afraid there's a bit more to diff setup than just bolting it back together.
You need to check backlash and contact patch bewteen the pinion and the crownwheel. Then adjust then re-check, etc. Or take it to a shop...
or just slap it all back together, ignore the problem and drive it until it gives up. I've had plenty of diffs with backlash and whine that lasted a surprising length of time.