In this photograph, I show how a golf tee can solve the problem of how to get stuff stuck in your shoes out. Before you get out of the golf cart, give your shoes a once over with a golf tee to loosen muck and grass out of your shoe treads.
As you can see, I don't wear traditional golf shoes, partly because I find they don't give and end up with blisters, but also because Florida's wet weather means my feet stay wet so I picked an option that let me survive. Read more about Why I Love My Teva Sandals.
Many golf clubhouse's offer to other methods to clean your golf shoes. The typical method found is a ground installed foot brush. An alternate method is a air hose that allows you to blast the much free (this is my favorite solution because everything goes).
Golf Smith has some good suggestions for keeping the golf shoe upper's clean.
Ebay offers a complete list of different types of tools for golf cart, floors, etc. for cleaning your golf shoes.