1.  Get rid of, act evasively, as in They've tried to shuffle off public inquiries about the safety of their planes. This usage, dating from about 1600, also appears in the oftquoted shuffle off this mortal coil, from Shakespeare's Hamlet (3:1), where it means "become freed from the turmoil of life," that is, "die."
2.  Move away reluctantly, dragging one's feet, as in The prisoners shuffled off to their work detail. [Late 1500s]