<script type="text/javascript">
        function OnSuccess() {
            alert('Success');
        }
        function OnFailure(ajaxContext) {
            var response = ajaxContext.get_response();
            var statusCode = response.get_statusCode();
            alert('Failure');
            Here you can do whatever you want with the div.
            $('#targetDiv').empty();
        }
    </script>
    <div id="targetDiv">
    @using (Ajax.BeginForm("Index","Home",new AjaxOptions 
           { 
             UpdateTargetId = "targetDiv",OnSuccess ="OnSuccess",OnFailure ="OnFailure" 
           })
      {
        ... 
      }
  </div>