You are countersteering whenever you change direction at speeds over 20 mph. You just don't realize that your doing it.
( I have tried to figure out where the change occurs and as near as I can figure, at speeds below 15 mph the bike will turn in the same direction as the handlebars. Between 15 and 20 mph it's hard to figure out which rule applies. Over 20 mph all steering is done by countersteering. Turning the handlebars left makes the motorcycle turn right. Turning the handlebars right makes the motorcycle turn left.)
For normal riding above 20 mph the amount of countersteering needed to change direction is so slight it is almost imperceptible.
To understand what's happening let's say you want to turn to the right.
To do this, push on the right handlebar.
When you push on the right bar the motorcycle tire down at road level will turn left causing the tire at road level to move to the left. This will cause everything above the contact patch to start to fall to the right.
With the bike leaning to the right, it will start turning to the right.
Now, by just straightening up the handlebars it will cause the tire at road height to move to the left a bit which will keep the bike in its lean to the right causing the bike to turn that way.
It's all very subtle.
It is a good thing to practice doing these maneuvers by first making sure no one is around you.
Make sure the road is dry and there is no sand/dirt on it.
Then, picking some spot ahead that you want to avoid and a place closer where you want to start the turn start the turn.
You will end up actually doing two countersteering turns. One to start the turn and one to reverse the turn so you are going straight again.
To start your turn to the right you will first push on the right handlebar. The tire will move to the left and the bike will start to fall to the right. For a normal turn you would straightening the bar to the center position to hold the bike in the turn but because you want to return to the direction you were traveling before you started this, you will now push the bar on the left side more than normal.
This will cause the wheel at the contact patch to move to the right, causing the bike to come upright and then to start leaning to the left.
With the bike now leaning to the left it will start to turn that way.
If you do this correctly you will be going straight, then suddenly swerve to the right and then just as suddenly be traveling straight again.
Now that I've confused the hell out of you, a thought about the bike going where you look.
It will. It is a subconscious thing and all cycle riders, whether they are on a bicycle or a motorcycle needs to be aware of it.
I first learned about this when I was riding a bicycle back in my grade school days.
When I realized my tires were about to go off of the asphalt into a 2 inch dropoff into the dirt I started looking down at my front tire to see where it was.
As I looked my eyes of course fixed on the drop off.
It was like I could feel a huge force trying to make my bike fall into that drop off and I literally had to fight it to keep from going off the road.
When I finally pulled my head out of my butt and changed my attention to the smooth asphalt down the road a ways, the force went away and I could easily turn the bike away from the danger.
Fighter pilots have been killed by fixing on a spot on the target and followed the killed plane into the ground. It's the same thing.
Now that I've bored everyone with this I'll come to the point.
If you ever see an object in the road ahead of you, concentrate on something away from the object. To the right or to the left doesn't matter. Just don't concentrate on the object.
Using this knowledge along with countersteering can save you from a wreck.