That's a patent date, you need to atleast describe what kind of rifle you have, pump, bolt, something.... Patent dates nor serials a model specific.
October 1943
The original Remington was made in 1903 October 1943.
October 1942.
RW is Remington Works, not part of the serial no. 1912.
First year production 1912.
Big year of production ~31,500 - ~71,500
the serial number is not a remington rand serial number. it is a colt commercial 1911. you have a rem-rand slide on a colt frame. sorry.
Are you sure it's an auto and not a pump action, it sounds like the predecessor to the Remington Model 10.
Your remington model 700 which has a letter A prefix to the serial number,indicates that it was made in 1980.
Post a serial or call Remington.
I don't believe the Remington 512, 511 or 510 have serial numbers
Possible.