The Collaborative International Dictionary of English v.0.48:

Reputable \Rep"u*ta*ble\ (r?p"?-t?-b'l), a. [From Repute.]
   Having, or worthy of, good repute; held in esteem; honorable;
   praiseworthy; as, a reputable man or character; reputable
   conduct.
   [1913 Webster]

         In the article of danger, it is as reputable to elude
         an enemy as defeat one.                  --Broome.
   [1913 Webster]

   Syn: Respectable; creditable; estimable.
        [1913 Webster] -- Rep"u ta*ble*ness, n. --
        Rep"u*ta*bly, adv.
        [1913 Webster]

WordNet (r) 3.0 (2006):

reputably
    adv 1: in a reputable manner [ant: disreputably]