Removing wallpaper from a surface with a wainscot is similar to removing it from any other surface. First, use a putty knife to gently loosen a corner of the wallpaper. Then, slowly and carefully peel the wallpaper off the wall, using a wallpaper steamer or a solution of water and wallpaper remover as needed. Take extra care around the wainscot, using the putty knife to gently pry the wallpaper away from the trim.