Solution 1:

You don't even need to use a for loop, just use jQuery's slice() method and a bit of math.

I've hosted a working demo on JS Bin: http://jsbin.com/upuwe (Editable via http://jsbin.com/upuwe/edit)

Here's the modified code:

var pagination_options = {
  num_edge_entries: 2,
  num_display_entries: 8,
  callback: pageselectCallback,
  items_per_page:3
}
function pageselectCallback(page_index, jq){
  var items_per_page = pagination_options.items_per_page;
  var offset = page_index * items_per_page;
  var new_content = $('#hiddenresult div.result').slice(offset, offset + items_per_page).clone();
  $('#Searchresult').empty().append(new_content);
  return false;
}
function initPagination() {
  var num_entries = $('#hiddenresult div.result').length;
  // Create pagination element
  $("#Pagination").pagination(num_entries, pagination_options);
}