1911
1913
http://shootersforum.com/showthread.htm?t=40562
Check Remington Society of America here: http://remingtonsociety.com/rsa/questions/barrelcodes
VERY late 1924. Check the date code stamp on the barrel. Details on the Manufacture Date page on the Remington Society of America.
My serial list only goes to 1931 and it's after that, check the date code stamp on the barrel. Details on the Manufacture Date page on the Remington Society of America.
That's a fairly late gun in the 30's it will be date code stamped on the barrel, see related links.
Not by serial, check Remington Society of America here: http://remingtonsociety.com/rsa/questions/barrelcodes
My list only goes to 1931 and stops at around 369000, it should be date code stamped on the barrel, see the Remington Society of America manufacture date link.
Early 1911
Manufactured 1909
check the date code stamped on the barrel. Remington Society of America, Manufactured Date link has the details.