They month and year can be determined by the barrel code, all the details can be found on the Remington Society of America here:
http://remingtonsociety.com/rsa/questions/barrelcodes
Serial numbers by year for the 870 Remington Model.
Post a serial or call Remington.
Your remington model 700 which has a letter A prefix to the serial number,indicates that it was made in 1980.
Need the serial number to answer.
With the serial number that you have provided,your Remington Rand model 1911 was made in the year 1943.
1912
1910
1912
1919
200243
about 1989
1908