If the latch doesn't work, break it off, carefully, or try to go up behind it and you'll see a hook hanging down. Push it off to the side while pushing up on the box. The main problem is the two little tabs that hold the box in place. It's hard to discribe.
Best bet is to find a new/used glove box latch and see how it works, or check out someone elses car. If you're gunna bust the handle off, make sure you remove the keyed cylinder, and swap it over to the new latch when you re-install.
1986 E30 325e (killed)
1986 E30 325es (died)
1988 E30 325i (rotted)
1992 E34 525i (sold)
1992 E30 318i (cabrio, Dad's)
1989 E30 325i (Mom's)
1991 E30 318i (cabrio, summer car)
1991 E30 318is (Winter car)
1992 Euro M5 (driveway decoration)
1994 E36 325is (driveway junk)