Scroll div s overflow:hidden

var time_scroll;
function scrollDiv(id_div,smer) {
  var step = 5;
  var d = document.getElementById(id_div);
  if (smer == 1 && d) {d.scrollTop -= step;}
  if (smer == 2 && d) {d.scrollTop += step;}
  time_scroll = setTimeout('scrollDiv("'+id_div+'","'+smer+'")',10);
}
Jde to nějak zprovoznit i bez tlačítka, rovnou při scrollování na divu?

function wheel(event) {
  var delta = 0;
  if (!event) {event = window.event;}
  if (event.wheelDelta) {
    delta = event.wheelDelta/120;
    if (window.opera) {delta = -delta;}
  }
  else if (event.detail) {delta = -event.detail/3;}
  if (delta) {
    if (delta < 0) {window.scrollBy(0, 50);}
    else {window.scrollBy(0, -50);}
  }
  if (event.preventDefault) {event.preventDefault();}
  event.returnValue = false;
}
if (window.addEventListener) {window.addEventListener('DOMMouseScroll', wheel, false);}
window.onmousewheel = document.onmousewheel = wheel;

window.onload = function () {
  if(window.addEventListener) document.addEventListener('DOMMouseScroll', moveObject, false);
  document.onmousewheel = moveObject;
}

function moveObject(event) {
  var delta = 0;
  if (!event) {event = window.event;}
  if (event.wheelDelta) {
    delta = event.wheelDelta/120;
    if (window.opera) {delta = -delta;}
  }
  else if (event.detail) {delta = -event.detail/3;}
  var currPos = document.getElementById('vyhledavani_dolni');
  if (delta != 0) {currPos.scrollTop = currPos.scrollTop - delta * 50;}
  delta = 0;
}