[lord2kim]

gJam,

<div id="from">
  <div id="Block1">Block1
    <div id="Block1.1">Block1.1
    </div>
  </div>
</div>

<div id="to">
</div>
<br><br><input type="button" value="Переместить" id="but_move">
<script>
document.getElementById("but_move").onclick = function () {
    alert("From: "+document.getElementById("from").innerHTML+"\nTo: "+document.getElementById("to").innerHTML);
    document.getElementById("to").appendChild(document.getElementById("Block1"));
    document.getElementById("from").removeChild(document.getElementById("from").firstChild);
    alert("From: "+document.getElementById("from").innerHTML+"\nTo: "+document.getElementById("to").innerHTML);
}
</script>