›to step down hard on someone or something: I stomped on his toes and ran away.Hitting and beatingPunishing by causing pain›to treat someone or something badly, or to defeat them: This is another example of the big companies joining together to stomp on small businesses.Treating people or animals badlyInsults and abuseUnkind, cruel and unfeelingViolent or aggressiveWinning and defeatingScoring, winning and losing in sport