There were three (or 4) iterations of the Remington Model 31. The original 1931 version has a take-down mechanism on the end of the magazine tube like this that screws down and releases the barrel to twist off the receiver --
The 1934 version has a mechanism that just pushes down and turns a bit to the side releasing the barrel to twist off the receiver --
Some shop manuals describe a sub variant called the 1936 version.
The final version is the 1941 version that goes back to a screw down mechanism --
The 1941 version also has the larger trigger group for a better grip to trigger feel.
When the Model 31 was introduced the Model 31A "Standard" Grade had a checkered stock and slide handle --
The earliest Model 31 12-gauge guns had the magazine tube crimped to only allow three shells, but quickly the added the uncrimped 5-shot version with a magazine plug to reduce the gun to three shots for migratory waterfowl hunting.
The checkered stocks and slide handles continued through 1936. In 1937 Remington introduced the Model 31AP "Standard" Grade with a plain stock and a ringed slide handle --
and the guns with checkered wood became the Model 31AC "Standard" Grade --
By 1939 the guns with checkered stocks and slide handles must have been cleaned out of inventory and the gun with the plain stock and ringed forearm was the Model 31A "Standard" Grade. Up through about this time the very rare Model 31B "Special" Grade had a checkered stock and slide handle of imported walnut but for 1939 Remington introduced American Walnut on their B "Special Grades --
For 1941 they introduced the final version with the larger trigger group and also a lightweight version with an "Aeromet" receiver in 12-gauge --
Almost immediately the catalogs said the lightweight wasn't available due to material shortages. After WW-II the lightweight was offered in all three gauges. I think this is about the maximum number of photos I can post.