Go on your Credit Card website and there will be a place to request that they send you the number.
That's it. Occasionally they ask you to sign on the past or hit the ok button but usually not even that.
I've had a card number ripped off via an online retailer and Visa figured it out on the first fraudulent charge.
In the UK it's the store... unless they made you use chip and a PIN. Which is why they all use the chip and a PIN. Then it's the card provider, but it's not because the chip and PIN prevents fraud before that point. I think the card provider eats contactless payments because they encourage more of them so it adds up in the end.
Card holder liability on timely reported loss or stolen card is capped at $50 or something.
There is generally no chip and pin. Some older terminals hard crash on PINs on credit. Some older terminals hard crash on PINs exceeding 4 chars