Syterion, you're right, "steer into the skid" is a terrible phrase that has no real meaning. It's much simpler: steer the way you want the car to go.
"Skid" is a ridiculous term, actually. As you have learned, there is oversteer, which is what is commonly referred to as a "skid" and also understeer.
The old saying goes: "oversteer is when the passenger is scared. Understeer is when the driver is scared!"
So, dealing first with the classic "oversteer" skid:
You start to turn, and the rear wheels slide, causing the car to turn MORE than you wanted it to, hence "oversteer." Don't panic, just steer where you want to go. In fact a lot of instructors will tell you to LOOK where you want to go, not at what you don't want to hit. Steering where you want to go means reducing your steering input; in the above right turn example, yu would unwind the steering back towards the left. BUT, that does not mean you must necessarily turn the wheels to the left. ou just need to turn them less to the right, usually. It's a skill that definitely improves with practice.
Ignore whether you have front or rear wheel drive. Both can oversteer, and the techniques for dealing with it once it happens are the same. The saying is, FWD and RWD react the same to being driven well, but differently to being driven badly.
Steering is ony part of controlling your car. Throttle inputs are also important. If you start to oversteer, bring the throttle to a neutral position, neither full on nor full off, so that you are neither accelerating nor decelerating. For a RWD car that will usually mean decreasing throttle, as too much throttle on corner exit is a common way to induce oversteer in a RWD car. It's not cool or fast, and falls into the "being driven badly" category.
That said, a racing driver in a properly set up car will actually steer with the throttle, but that does NOT mean breaking the rears loose with gobs of power. Instead, a racing driver will use the throttle to shift the weight of the car forward and backward, onto the front or rear tires, to change the amount of grip each end of the car has. DO NOT try this except on a closed course, just know that it's possible. And it's the reason why you sholdn't juist lift your foot clean off the throttle when you start to slide: you will throw weight onto the fronts and off the rears and maybe make things worse.
my qualifications:
Wanna know about understeer too?