The WWII era Browning Auto 5s were made by Remington because the Nazis controlled the FN plant, and in fact all of Belgium. The Remington Auto 5s are just like the FN ones to the best of my knowledge, but I am not a big authority (or fan). The Remington Model 11 had some differences, like no mag cut off for one. Remington did not produce them throughout the war because their production facilities were all diverted to making firearms for the U.S. The Auto 5s were built under contract; the Model 11s were built under license.
John Browning wanted to license the design to Winchester with royalties, a la Bill Gates and DOS, but Winchester balked, and as a result didn't have a decent semi auto until the Super X 1 70+ years later. IBM did license - not buy - the operating system from Gates, and Microsoft went on to dominate computer operating systems, just like for a very long time the ONLY reliable semi auto shotguns were all built on the Browning long recoil operating system.