M.N.
keep wetting it and sucking up all the liquid. Instead of using an actually cleaner though you would probably be fine with using water. I would actually probably put a LOT of water on it and then suck up as much as I could. At least this way anything that is left that you just cannot suck up should be very diluted and won't cause any smell.
Once you have it all sucked up then you really shouldn't have to worry about any smell.
Good luck!!! Not a fun job.