I do it with one of the "winterizing kits" you see at West Marine or other marine supply stores. This is essentially a 5 gallon jug with a faucet and hose. It's capacity is about five gallons. One gallon of BB and 4 gallons of water. It will still have a light blue color.
Start motor with fresh water hose running fresh water into sea strainer and the sea cock in the closed position. Bilge pump will handle over flow. Transition to the BB fluid. It will drain out fairly quickly so this is best done with two people, one watching, one at the helm to turn off motor.
Once BB is in the system let the engine "pickle" for at least a half hour. Perhaps a bit longer if you think the build up is severe. Then start engine with fresh water hose running into sea strainer. Shut off motor, replace the sea strainer, open sea cock to test.
You will have a bubble of air in sea strainer that will be 'burped' when motor is run at speed.
Knotflying's method is more effective and precise but is more work.
My simple method was very helpful for me recently. I had picked up some eel grass (ugh) at the oil cooler. Once the oil cooler was clear I still over heated at the high end RPMs. Likely had some salt crystals build up. Pickled the engine with BB and voila, I'm good to red line.
FYI there are people who do this with vinegar or even diluted muriatic acid. I pay for the BB as its mixture can be controlled and I think its safer.
-martin