The best (an especially glueless) way to do it is actually quite simple and doesn't require any fancy tools. You just get a straw, just a normal plastic drinking straw, and cut in it so it can fit your jack. Then you just push it in the jack so it slides around the broken piece of the plug. Then you turn your device so that the jack is facing the floor, and the plug should slip out. If it doesn't, remove the staw slowly with the jack facing the floor and then take a pair of tweezers and grab the part that has already slipped out and pull it out carefully.It's cheap and fast and worked for me... I unfortunately lost my gold-plating on the jack but I think it's nothing glue can't fix.