Take all the parts you've managed to salvage from the wreckage of your exploded coffee machine.
Reassemble the pieces into a roughly cylindrical shape. Don't worry too much about aesthetics; we're going for functionality here.
Rebolt the pieces together with an unhealthy amount of glue, twine, and hope. You know, for the sake of science.
Repeat this process until the machine starts to resemble something that might, might, possibly, hopefully, work.