I am pretty sure this is a cash drawer base for a old cash register. If the store had different departments they would push a certain button on the cash register to open the corresponding cash drawer and thus keep the monies separate. I've seen some old wood cash registers with multiple drawers all the way to the floor.
To get the drawers out there should be a small lever at the back inside that you lift to release the mechanism and allow the drawer to be pulled all the way out.
Last edited by Mr.Wadhams; Sun Nov 18 2018 06:50 AM.