That rifle is a 760 BDL that Remington made in 270, 308, and 30-06 from 1966 thru 1980(?).
They differed from the usual 760s in that they had pressed basket-weave style "checkering", a raised left or right check-piece, and a "step" at the top/rear of the receiver.
I own or have owned them in 270 and 30-06, but don't recall having seen any chambered in 308.
I suppose one could just swap out the stock to a RH 760 308 if they wanted that "variation".
Do the LH 760s have LH safeties as well?
