Check out
verb
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.”