Definitions of assignment:

• noun:   the act of distributing something to designated places or persons

  Example: "The first task is the assignment of an address to each datum"

• noun:   a duty that you are assigned to perform (especially in the armed forces)
• noun:   an undertaking that you have been assigned to do (as by an instructor)
• noun:   the instrument by which a claim or right or interest or property is transferred from one person to another
• noun:   the act of putting a person into a non-elective position
• noun:   (law) a transfer of property by deed of conveyance