[header] How to clean vomit from carpet with baking soda [title] Remove residual puke from the carpet. [step] Probably the worst but an extremely important step. [substeps] Suit up with rubber gloves (and possibly any other protective gear you feel is necessary). 
Remove as much vomit from the carpet with paper towels and immediately dispose in a plastic trash bag. Consider holding your nose during this process if you sensitive to smell or you can spray concentrated room spray in the area to reduce the bad odor.