A wonderful old Browning-designed rifle, but...
You will have one he** of a time finding ammo for it, unless you buy it from Old Western Scrounger at $29.95 per 20 rounds. That, or find some .30 Remington brass and resize it to the larger caliber, and reload it yourself. RCBS sells the dies, and for bullets you can use cast versions, or use Hornady and Speer .321 bullets designed for the .32 Winchester Special. (More on this use, below...) You can also swage down 8mm (.323) bullets to .321, especially the 150 and 170 grain variants.
I have a 1906-vintage Remington Model 8, in .32 Remington. I scored several hundred rounds of new ammo, to include Winchester Silvertip, as well as several hundred rounds of new unprimed brass.
The Remington Model 8 was America's first successful autoloading rifle. It's long-recoil operated, using the recoil of the round to move the barrel and bolt backwards to start the extraction and ejection of the fired round, then chambering the next round. Much like it's cousin, the Remington Model 11 Shotgun (and Browning Auto-5) it's a fun gun to shoot, even with cast bullets, since there's no gas port in the barrel.
NOTE: the early Model 8's have a bit of a safety problem, namely, no firing pin rebound spring. This means that when you chamber a round in the rifle, it absolutely MUST be fed from the box magazine by the bolt when released, NEVER by inserting the round in the chamber and letting the bolt fly forward into battery. To let the bolt slam forward on an already-chambered round will at the very minimum create a firing pin dimple on the chambered round, and at the worst, well, uh, a slamfire. (Which I already had happen once, NO FUN!!!)
The later Remington Model 81 added the firing pin rebound spring, thankfully.
That Model 8 sounds like a good price for $150.00, but remember that ammo isn't cheap, and I doubt you'd be able to recover the brass in the woods to reload it during deer season.
There were several Remington autloading cartridges developed for the Remington Model 8 and Remington Model 14 pump rifle. .25 Remington, .30 Remington, .32 Remington, and .35 Remington. The first three in the series were all based off a similar configuration, and Old Western Scrounger makes all three rounds from .30 Remington brass, as a matter of fact. .35 Remington is dimensionally different, but is still very much available at gunstore shelves. All the .25 through .32 Remington cartridges were an effort by Remington to provide a rimless version of the popular .25-35 Winchester, .30-30 Winchester, and .32 Winchester Special cartridges. Ballistics were essentially duplicated.
So, for deer purposes, consider the .32 Remington every bit the equal of the .32 Winchester Special, which has been used for eons with good results on whitetail.
