Things You'll Need
Instructions
Turn your puzzle facedown. Coat the poster board on the back of the puzzle heavily with glue solvent so that it soaks in. Depending on what glue you have used to mount the puzzle, that solvent might be acetone or water. For ordinary water-soluble paper glue, such as Elmer's or library paste, water will do. Acetone will dissolve most other glues, including super adhesive.
When the poster board is well-saturated with glue solvent, gently work it away from the puzzle pieces beneath it. Rather than peel off the pieces, peel up the poster board and leave the pieces flat on the table. Working from the back will also mean less solvent soaks into the puzzle pieces.
Place the freed puzzle pieces beneath a heavy piece of plywood to keep them from swelling up with the solvent. Let them dry there.
Cut apart any puzzle pieces that are still glued to each other after drying. Carefully run the tip of a craft knife along the seams at the back of the puzzle. If any glue remains, a fine-grit sandpaper can clean up the residue.