I put stabilizer in a SMALL quantity of fuel and run the entire amount out in the engine. As it is beginning to stall from the lack of fuel, I fog the carb. After it quits, I pull out the spark plug and spray some additional fog in the cylinder and turn it over slowly to distribute the fog oil on the cylinder walls.
I then wash the exterior with fresh water, grease any lube points, check the zinc and replace if required.
I drain the lower end oil and verify that it is not milky with water. Then I refill it with fresh oil. I pull out the starter rope and examine it's length for wear.
Finally I make a check list of what I have done so I don't forget.
I store the outboard in an up-right position (not lying down) for the winter. An outboard stored horizontally can allow a small amount of cooling water that may still be in the engine run back into the cylinders and damage the power head.