I posted a link (related links) for Remington on their archive page to bolt action rifles, you might be able to identify it there.
Model 581.
No such model number in the Remington line
No such model number
Your Remington model of 1917 rifle was made in November of 1918,with the serial number that you have provided.
RW is Remington Works, not part of the serial no. 1912.
It's a pump action 22 rifle.
remington 725 caliber 222 bolt action excellant condition
This is a pump action centerfire rifle manufactured by Remington Arms in Ilion, NY. The serial number of the rifle indicates that it was produced July 1, 1980. The model 760 was produced from 1955 until 1981 when it was replaced by the model 7600 pump action rifle. Approximately 804,600 Model 760 rifle in various calibers were produced during that time. Fred Remington Arms Product Service Manager Ilion, NY 13357
Available from the Remington Custom shop- Model 7.
it is 56 Remington rifle model
value of 12a pump 22 short, long,or long rifle number 5839 and year
100-300 or so