Jay is right. In normal use, after the engine fires and you release the button/key, the ring gear spins the Bendix fast enough to release the 'lock-in pin' (a spring loaded pin in the Bendix that snaps into a shallow hole as the Bendix engages, to keep it engaged until centrifugal force pulls it back). If you play around with your starter on the bench and wind the Bendix gear down the spiral, this pin will engage the hole in the shaft and lock it into the engaged position. I've forgotten the trick I used to use (been a long time). The wire wheel method is as good one. Just be sure to spin it in the normal direction.
Early Bendixes lacked the lock-in feature so if the engine fired once or twice and then died right away, the starter would just buzz because the flywheel had spun just enough to release the Bendix. If you still had your finger on the button/key you were keeping the starter spinning but not engaged. So you had to let go of the button, wait for the starter to stop spinning and try again (sometimes again, and again, and...).
If the spiral got gummed up from clutch dust, grit and oil, the drive would not spin in freely to engage and just grind on the ring gear until you hit the button a few times. Since a V8 always stops against compression in one of four places, this results in ground down ring gear teeth and then the drive jamming up. I used to shut the engine off in gear with the clutch down and foot on the brake, then pop the clutch up just before the engine stopped so the flywheel stopped in a different place (this is known as a farmer fix).