duly

from WordNet (r) 3.0 (2006)

duly
    adv 1: at the proper time; "she was duly apprised of the raise"
           [syn: {punctually}, {duly}]

from The Collaborative International Dictionary of English v.0.48

Duly \Du"ly\, adv.
   In a due, fit, or becoming manner; as it (anything) ought to
   be; properly; regularly.
   [1913 Webster]

from Moby Thesaurus II by Grady Ward, 1.0

38 Moby Thesaurus words for "duly":
      accordingly, appropriately, as is proper, as is right, by right,
      by rights, condignly, correctly, deservedly, disinterestedly,
      dispassionately, equally, equitably, evenly, fair, fairly,
      fittingly, impartially, impersonally, in all conscience, in reason,
      inequity, injustice, justifiably, justifiedly, justly, meetly,
      on time, properly, punctually, right, rightfully, rightly,
      suitably, upon even terms, warrantably, warrantedly,
      without distinction