1905 - 1947 , need serial or check http://remingtonsociety.com/rsa/questions/barrelcodes
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.
The Remington Model 11-87 was manufactured from 1987 onwards, and to determine the specific manufacture date for a particular serial number like 444542, you would typically need to consult Remington's serial number lookup resources or contact their customer service. Serial number databases often provide information based on the specific range of production years for each model. Without access to those resources, I can't provide an exact date for that serial number.
Early 1911
Manufactured 1909