How Does My CD Player Understand Where to Pause?

I was listening to my CD player at work tonight, and I had to pause my favorite song halfway through. I hit the pause button and the song stopped, but the CD kept spinning. When I hit the pause button again to resume, the song started again right where it had stopped earlier. How does a CD player know where to stop the song, that is, how does it ‘mark’ the place on the CD where it stopped if the CD is still turning just as fast as it is when it is playing?