I think Fister has a sensitive stomach, too. When he eats fast or too much, he also barfs. Luckily it's not very often. I usually hear it and I have learned to stay put until he's done, because if I move, he goes to another spot and the rest ends up there. It's usually undigested dry food, but sometimes a hairball.

What I do is this... I take some kitchen paper and grab the most of it with that and I have a bowl ready with an old cut up towel (thin ones are best) which I pour a bit of dishwashing liquid (Neutral) in and some hot water. That I scrub the carpet with. It works pretty well.