....as monkeyhanger says. But it's really tight so you think you're going to break it. I pulled the cubby out as far as it would go then backed off very slightly, pressed really hard on one side until it clicked out, then did the same for the other side.
Putting it back, it wants to be set a bit lower than you initially think. Get the bottom hinges lined up correctly then swing it up and, if all is OK, click it back in place.