<div id="firstresult">
<table>
<tr><td>1</td><td>2</td></tr>
</table>
</div>
<button onclick="document.querySelector('#firstresult').innerHTML = '<table><tr><td>3</td><td>4</td></tr></table>'; return false;">
Обновить таблицу!
</button>
<script>
document.querySelector('#firstresult').addEventListener("click", function (event) {
if (event.target.tagName == "TD") {
alert(event.target.innerHTML);
}
}, true);
</script>