What is the manufacturing date of Remington model 700 Serial number B6793323?

Answer 1

So I've forgotten I'm getting old...

But on the 700's they started the A in 1970 or 1980 and the B 5 years later and continued up the alphabet HOWEVER the best way to tell is to look at the date code stamped on the barrel and that will give you month and year. The information for the barrel codes is on the Remington Society of America and I'll add this to the related links, check it for details.