That belt is dead
Check the pulley's for any old debris from it before fitting the new one.
There's a chance the alternator will be damaged if its been run with the exiciter wire (the little thin wire) disconnected.
99% of modern alternators have internal / onboard regulators so wiring is simple (one heavy lead to the battery / starter or somewhere sensible) and the thin exciter wire that is ultimately connected to the charge warning light on the instrument panel.
You can 'test' the thin wire (well, the charge bulb) by connecting the thin wire to earth (warning: do NOT have it connected to the alternator at the same time!) the charge light should come on with the ignition, if not check the bulb. Insulate the thin wire from everything and check the charge light goes off.
The thin wire goes to the D+ connector (the little one on the alternator) , the large one is normally marked B+ but its size is obvious.
If in doubt: STOP and ask before doing anything, don't want you to cause any damage.
Andy.
91 205D-Turbo, gone but still missed
02 106D, TUD5B, gone but not really missed apart from the MPG