OK, for those of you who get tired of the same old "BLACKPOWDERX" answer....Not all Remington Firearms use the "Barrel Code" for serial number location.
REMINGTON (www.remington.com) Customer Service (1-800-243-9700 & follow the prompts) will look up your serial number and verify the age of your firearm. They are VERY helpful and courteous. It took less than a minute to look up my 1954 Model 700.