It took me a long time to figure out how I made a turn on a bicycle. No, it's not just turning the steering wheel in the direction you want to turn. You actually slightly turn it the other way, then the bike tilts into the turn you want to make, and you turn the steering wheel into the turn to stop the tilt from turning into a crash.
It all happens so subtly, and your body does it perfectly with no input from the brain other than "I want to turn".
It is a fun one to show new or inexperienced riders. "Now that we are coasting, what do you think a slight push forward of your left hand will do to the bike?"