Winchester never choose to record the serial number by year of production for this model of rifle.I can say that the model 77 rifle was made from 1955-1963.The serial numbers began at Number 1001 and ran thru serial number 217,180.I would safely assume that your rifle was made in the 1950,s with the serial number provided.
UPDATE: Your rifle was manufactured in 1958. 1958 started with serial 55135. 1959 started with 73513.
Your question has used the serial number of your Winchester,not the Model number.Please include a description of your Winchester along with the model number,and the serial number to get a answer about your Winchester.
I would have to have the model number along with the serial number to correctly date your winchester.
The Winchester model 69A is a pre-serial number firearm and as such does not have one.
Your Winchester model 1894 rifle was made by winchester in 1971,with the serial number you provided.
Model 70 winchester serial number 432523 chambered in 416 rigby
With the serial number that you provided,your winchester model 1894 was made by winchester in 1954.
Your Winchester model 74 was made by Winchester in the year 1949,with the serial number that you provided.
With the serial number that you supplied,your Winchester model 1894 rifle was produced by Winchester in the year 1940.
With the serial number that you supplied,your Winchester model 70 rifle was produced by Winchester in the year 1984.
with the serial number that you provided,your winchester model 1912 shotgun was made by winchester in 1930.
With the serial number that you supplied,your Winchester model 70 rifle was produced by Winchester in the year 1973.
With the serial number that you have supplied,your Winchester model 12 shotgun was made in the year 1916.Your serial number indicates that it was made by Winchester in 1916.