Here is some info from the blog -
Introduced by Remington in 1906, the .32 Remington was marketed as an alternative to the .32 Winchester Special. Hunters seeking a good bullet for hunting deer and bear that could be found in an auto-loading rifle were presented with a nice choice in the .32 Remington. Unfortunately, the cartridge never really caught on with the shooting and hunting public and has since fallen out of favor. Though it is a great choice for hunting under certain circumstances, the .32 Remington is now rarely found outside of old gun collections or the collections of people who specifically look for rare and obsolete cartridges like the .32 Remington.
When the Remington Arms Company introduced the Remington Auto-Loading Rifle (later known as the Remington Model

Since Winchester pretty much had the lever-action rifle locked down with the venerable Model 1894, Remington decided to produce rifles chambered in roughly comparable cartridges that were either auto-loading (Model 8 & Model 81) or pump-action (Model 14 & Model 141). Among several other cartridges, all of these rifles were chambered in .32 Remington in an effort to stake out a portion of the market of hunters and shooters who wanted a medium bore auto-loading or pump-action rifle.
As stated earlier, the .32 Remington is no longer in regular production by any major ammunition manufacturer. It is possible to occasionally find loaded ammunition at gun shows and on the internet, but the supply of factory loaded .32 Remington ammunition is sporadic at best. When it is available, it is usually pretty expensive. The most common load is still a 170gr soft point traveling between 2,000 and 2,200 feet per second.
If you have a rifle chambered in .32 Remington that you really want to shoot or hunt with, hand-loading is probably your best bet. There is still a fair amount of reloading data out there about the cartridge and .321 diameter bullets aren’t too difficult to obtain. Brass is occasionally available from major distributors and it is even possible to resize brass from a couple of other cartridges to the appropriate dimensions to work in a rifle chambered in .32 Remington.