According to Remington's website, that model was made 1928-1933.
your Remington model 6 was made in 1998,due to the S prefix on the serial#.
about 1913
About 1915
Sounds like you have an "American Browning" made from 1940-1949. These guns were made by Remington under contract to Browning during the German Occupation of Belgium when Browning could not import their Belgium guns. They do not say Remington anywhere on the gun, but essentially were made like the Remington Model 11, with the addition of the magazine cutoff. Browning specified that the serial numbers start at 5000 for each guage preceded by a letter to denote guage. A= 16ga / B=12ga / C= 20ga. Thus serial number B5000 was the first 12ga made in 1940. The serial number is on the left side of the receiver.
No detalied sn data published Other answer: The No.6 was made between 1896 and 1899
You must call S&W for an answer
January 6 1902-43,897 were made
498,000
No sn data in the public domain.
Need to know who made it to help. Even then, if sn data has not been published you won't be able to know.
Proofhouse.com has sn data.