Prepare your safety equipment before cutting rocks. You respirator and goggles should fit properly to keep out as much dust as possible.
Determine the direction of the lines running throughout the rock; this is the grain.
Make two test cuts on the rock, one with grain and one against. Take note of any sparks kicked up by the saw, which means that too much pressure is being applied to the blade, or too much vibration, which may cause the rock to break apart prematurely. Also determine which direction is easier to cut.
Make the cut through the rock using the saw. Stop cutting before the blade goes all the way through.
Tap along the back of the rock, opposite the saw cut, with a hammer. This should finish the cut without potentially crumbling the back side. If the hammer doesn't break to the saw cut, deepen the cut with the saw, then return to the hammer.
Even out jagged portion of the rock with a hammer.