Place your pizza stone on your cold grill (this is important to prevent cracking!)
Preheat your grill on high for about 30 minutes (mine registers 600° at this point).
In the meantime, separate your dough into 4-6 portions, adding just enough flour to keep it from sticking to your hands, but not too much to keep the dough soft.
Set the dough aside, and work with just one ball at a time.
Roll one out to the desired size and thickness (I keep mine about 1/4" thick and 10" across).
Place it on a sheet of parchment paper and then onto a pizza peel for easy transferring to the grill. (you could also use a cutting board)
Top the pizza with sauce and toppings.
Transfer the pizza (with parchment paper) to the preheated pizza stone and cook on the grill for 5 minutes, watching for the crust to brown.
Carefully remove using a pizza peel.
Allow to cool for a minute or two before slicing.
Repeat with remaining dough.
Extra dough can be stored in the fridge for a week. Be sure to allow it to return to room temperature before using.