It was Remington's answer to the .32 Winchester Special. You can use .32 Spl. loading dies to reload the .32 Remington.
Ballistically very close to the .32 Spl., which is very close to the .30-30.
Moderately popular for some years, but I don't think anyone makes ammo anymore.
I still see it for sale at gunshows occasionally. Any bullet for the .32 Spl. will work in the .32 Remington.
.30 Remington brass is more commonly available, which is good because you can very simply either fire form or neck expand the .30 Rem. brass and have perfectly good .32 Remington brass.
Fun rifles, good rifles. Have fun.