<script>
id = 1;
function BOZO(){
id++;
var texto = document.getElementById('div').innerHTML;
document.getElementById('div').innerHTML = texto + "<div id='"+id+"'>div"+id+"</div>";

}
</script>
<a href="javascript:BOZO()" class="grifar">Mais Divs</a>
<div id="div">Div Principal</div>