To brown meat such as hamburger meat or ground beef in the microwave place the meat on a microwave safe plate.
Then put the meat into the microwave and turn the microwave on to the medium heat setting and cook the meat in the microwave for 5 minutes.
Then after the 5 minutes flip the meat over and cook the meat for another 5 minutes.
Cook the meat and repeat the process until the meat is brown enough for you.
If you have a stove it's much easier and faster to brown the meat in a skillet but if you have no stove or skillet to brown the meat then the microwave will do.
I've had to brown meat in a microwave when I had no stove in a dorm room before.
It turned out okay but I prefer to brown my meat now in a skillet on the stove as it's easier and faster.