1. A method of handling cards using a card-handling device, comprising: supporting a set of playing cards on an input area of a card-handling device; transferring each playing card of the set from the input area into respective compartments of a card storage device of the card-handling device utilizing a card input mechanism by distributing each playing card of the set among the compartments of the card storage device; and simultaneously removing cards from at least two of the compartments to form a stack of cards utilizing a movable ejector.