Ok, this is the generic walk through, I haven't done a 600RR some some stuff my be in different locations, but this should give you a general idea. There is 2 methods, quick, and thourough. First, we'll do quick:
With bike cold, remove radiator cap. Then remove drain bolt. It usually located right on the bottom of the water pump. If you don't know where the pump is, follow the hose coming out of the bottom of the radiator, and it will lead to it. Once the coolant stops coming out, replace the drain bolt, and you're done. Now for thorough:
Do everything described above. Then, take the hose off the water pump. Take your garden hose and insert it into the coolant hose you just removed. It should fit snug and then I usually lightly clamp it in place with the hose clamp. Now, go turn on the hose, about half way. Don't go giving her full blast, you just need a gentle stream. After a few seconds, water will start coming out of the water pump inlet the hose was connected to. It will be green at first, then get cloudy, then clear. Once it's clear, you have a fully flushed system. Hook the coolant hose back to the water pump, and fill her up with water. All done.