Select a non-explosive demolition agent such as Dexpan or another brand made of 2.5 percent ferric oxide and 89.6 percent calcium oxide, as well as a small amount of organic resin.
Mark a line with water-soluble chalk where you want to break the granite. Drill holes that measure 1-1/2 to 2-inches wide into the slab of granite along that line. Space the holes 12 to 24 inches apart. Make sure each hole is about 80 percent of the total depth of the granite slab.
Mix the non-explosive demolition agent with clean water, according to package instructions. Wear rubber gloves and safety goggles to protect your hands and eyes. Mix one part agent with three parts water in a bucket until the powder is completely dissolved into liquid.
Clean the holes with an air compressor hose before filling them with the mixture. Fill the holes two inches from the top with the mixture and then back away. Allow 45 to 60 minutes for the mixture to expand within the hole and cause the granite to break along the line you created.