This disassembly of a pre-cut block of packaging material into component pieces and the selective dispensing of the component pieces is accomplished by a mechanism including a disassembling apparatus and a dispensing apparatus surrounded by a housing. The disassembling apparatus accepts individual pre-cut blocks from a queue and compresses a portion of the respective pre-cut block to cause separation into the plurality of component pieces. The plurality of component pieces then fall into the dispensing apparatus, which selectively dispenses the pieces separated as desired by a user.