It separates us from the animal within. As we are commanded not to eat blood we are also in a deeper sense commanded to think before we eat. For blood would be in every bite therefore we must think for a moment more about the sacrifice that came to our plate. Which allows us to be more thoughtful and grateful for the creator who allows us to enjoy each moment. G-D in a sense says we are not some blood thirsty animal but one who takes the time to think, enjoy and appreciate it all before the bite rips in.