Sorry for being long winded. I don't even try to type something different. I just cut and paste for the tank-mounted Briggs question. Remember to laugh at me for adding the digital picture sentence in there...right up until you're staring at it (or anything else) trying to remember how it goes back together. I wish we had digital cameras the first time I did a (drum) brake job!
Take the air filter off with a flat head screw driver. Take a digital picture of what is underneath for later reference. Remove the 1/2 inch bolt that holds the carb/tank to the engine. Remove the 3/8 (or 7/16) inch bolt from the end of the tank. Pull the tank away from the engine and do what you have to do to remove the linkage from the carb. If it’s a long linkage rod with one spring, remove the spring and set it aside before removing rod. If the spring is attached to a short linkage rod, just pull the linkage of out the hole it’s in.
Remove the 5 Phillips screws holding the carb to the tank. Inspect the gasket/diaphragm and ensure it is soft and pliable. Completely blow/empty out inside and top of the tank. Push primer bulb in to expel excess gas from carb. Blow air on the bottom of the carb and into the hole at the base of the pickup tube. (Not too hard into that hole or the primer will burst). Air and remaining icky gas should come out of pickup tube. Place your thumb over the spring so it won’t blow away. Reassemble carb and reinstall. Slip the screen off the bottom of the carb and poke through (clear) the hole that is under it. Should be good to go. Don’t take the gasket and diaphragm apart, but if you do, make sure you assemble in the following order. Tank, diaphragm, gasket, then carb. Chances are, the diaphragm is bad. It usually is. O’Reillys in my area sells them for about 3 bucks, and the mower shops charge 7 or 8. I think Briggs is STILL putting on the diaphragm kits with the bad gasket that isn't wide enough at one point to keep the diaphragm from slipping off and creating a vacuum leak. The perils of having 10 million gasket/diaphragm sets manufactured, then not wanting to throw them out just because they only work for 6 months. 99 percent of new, aftermarket sets are good though. Have fun!