check out

To confirm and pay for goods and services at a facility (e.g.: supermarket, online store, hotel) when leaving.

"Be sure to check out of the hotel before noon."

To withdraw (an item), as from a library, and have the withdrawal recorded.

"He checked his favorite mystery out for the twenty-third time."

To record (someone) as leaving the premises or as taking something therefrom, as from a library or shop.

"The desk clerk checked out the family that had been staying in room 322."