Concrete floors aren't the eyesore they used to be. There are plenty of methods for decorating them that can make you want to pull up old carpet and tiling in an instant. However, if you do this, odds are that some adhesive will be left behind in the process. Remnants and residues left over aren't pleasant to look at and make it impossible to add new decor or refinish to the concrete. Getting rid of old adhesive is a tedious and difficult task, but with the proper steps, it can be accomplished.