Okay...here goes. In today's world of Universal Precautions, vomit--which is considered a bodily fluid, of course, can't even be cleaned up with a mop and bucket nowadays.
First, the area is supposed to be cordoned off, then a drying agent has to be put down, such as kittly litter or sawdust. When it dries, it has to be picked up with a disposable wisk broom and dust pan, then placed in a red bio-hazard bag. Then THAT has to placed in a seperate area from regular garbage until it can be picked up by a licensed disposal company.
Then the floor has to mopped with a 4 to 1 mop solution.
All that would make me want to walk away.