1. A card-handling device, comprising: a card-receiving area sized and shaped to support a group of playing cards therein; card storage compartments, each of the card storage compartments sized and shaped to support a sub-group of playing cards therein, at least one of the card storage compartments comprising a beveled surface oriented to deflect cards toward an interior of the at least one of the card storage compartments; an input, card-moving mechanism configured to sequentially move individual playing cards from the card-receiving area into at least some of the respective card storage compartments, the input card moving mechanism comprising: a pick-off roller located and configured to rotate at a first speed and commence movement of a playing card from the card-receiving area toward one of the card storage compartments; at least one speed-up roller located and configured to rotate at a second, greater speed and drive the playing card responsive to the rotation of the at least one pick-off roller into the card storage compartment; and a clutch configured selectively interrupt active, driven rotation of at least one of the pick- off roller and the at least one speed-up roller; a card output tray; and an output, card-moving mechanism configured to transfer sub-groups of the playing cards from the at least some of the card storage compartments to the card output tray.