Hi, I understand you a have a wood floor, so some sanding will be required in the end. I have been using regular paint thinner to remove the adhesive from my basement floor with NO VISIBLE TRACE left!
I recomment that you purchase about 40' of 1-1/4" sump pump hose (cheap), 2 plastic fittings, and a 5 gal polypropelene container with a top (like those used for drywall compound). Use these to construct a "separator" which will go between your wet vac and what you are vacuuming on the floor.
Used carefully (in a well ventilated area) I soak about a 6 sqft area and scrub with a wire brush. Turn the vacuum on (Best if outside) and vacuum up the slurry. You will be amazed how well it works. Go back over the area a second time with some clean thinner, and it should be about as good as it will get. Hope this helps