Source : Webster's Revised Unabridged Dictionary (1913)

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.

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

   Syn: Respectable; creditable; estimable. -- {Rep"u
        ta*ble*ness}, n. -- {Rep"u*ta*bly}, adv.

Source : WordNet®

reputably
     adv : in a reputable manner [ant: {disreputably}]