We have the exact one you have, and it can be a pain to clean.
I have a sprayer on my sink, and while it's still hot, I wipe it off with a damp washcloth and then spray it off with an easy stream of water. It's just wide enough to keep at the edge of the sink, so the gunky water goes right down the drain. I let it air dry, but make sure you wipe the front edge, or yucky stuff will build up there.
Em