I don't know if DGW's guns accurately reflect this but looking thru "The Karl F. Moldenhauer Collection of Remington Arms" , there were .36 caliber Remington Navy's, Belt Pistols and Police Revolvers.
This book was for the public auction of Karl Moldenhauer's collection or Remington pistols, held on Wednesday, October 29th, 1980 and contains photos and comments on each pistol.
Karl Moldenhauer was a critical source of information about Remington pistols for Norm Flayderman and his book, Flayderman's Guide to Antique American Firearms and Their Values.
I'm using both books as a reference.
NAVY:
There were both the 1861 Navy (1862) and the Remington New Model Navy (1863-1878) revolvers made.
These single action pistols had 7 3/8" barrels. Cylinder length approx 1 15/16"*.
Single Action BELT:
Smaller than the Navy and used a 6 1/2" barrel.
6 shot cylinder. Cylinder length 1 7/8".
Unlike the Navy, the lock screws enter the frame from the right side. Made 1865-1878.
Double Action BELT (Also called Remington-Rider D/A New Model Belt Revolver:
Smaller than Navy, used 6 shot cylinder. Revolver used a 6 1/2" barrel. Cylinder length 1 7/8". Made 1863-1873.
New Model POLICE Revolver:
Single action. Notably smaller than Navy or Belt pistols. Used a 5 shot cylinder. Cylinder length approx 1 9/16"*.
Barrel lengths: 3 1/2, 4 1/2, 5 1/2 and 6 1/2 inches.
* Cylinder length based on scaling auction photos barrel and cylinder length.