Adam, see the little holes in the hinge? Get two thin allen keys slim enough to fit through the holes, put them in and when you part close the door it holds the hinge in place, then lift the door off as normal.
Leave the allen keys where they are while you clean, replace the door then take keys out, job done.
There will be screws to split the door on the bottom edge of the door, you will see when you take it off.
Hope this helps.
Paul.