If you know your carburetor is dirty, or your engine is demonstrating a fuel problem you're try to diagnose, I recommend you leave no stone unturned.
When I take apart a carburetor for thorough cleaning, I like to make sure I remove everything that I can so I'm sure I don't have to do it all over again. If you remove all the jets, and parts 211, 245, 26, 32, 36, and 51, you can be pretty sure you've cleaned everything you can. I use Gumout Carburetor Cleaner spray. I spray in every fuel and air passage.
I pull the engine case vent tube, located on the on the left hand side of the machine... and slide the carb out that way... but cover up the hole to the engine case... you don't want dirt to fall off your carb and drop in that hole.