Remingtons are usually dated not be serial number but by a 2 or 3 LETTER code on the left side of the barrel. See Remington Collectors Assoc. website for a chart.
Depends on the model.
Remington Works - 1914 (late)
your Remington model 6 was made in 1998,due to the S prefix on the serial#.
1914
1913
1920
1919
1920
1915
1912
1920
1912