<?php
global $query_string;
$my_query_string = $query_string;
$catnames = array('post-format-aside','post-format-link','post-format-gallery','post-format-status','post-format-quote','post-format-image');
//using implode to generate the list of formats ids comma-separated
$catnames[0] = "-".$catnames[0];
$format_id_list_to_exclude = implode(",-",$catnames);
$catnames[0] = substr('$catnames[0]', 1);
$format_id_list = implode(",",$catnames);
//query posts excluding posts that have formats:
$myquery = new WP_Query ($my_query_string . "&cat=$format_id_list_to_exclude");
    if ($myquery->have_posts()) :
        while ($myquery->have_posts()) : $myquery->the_post();
        //display non-formated posts
        endwhile;
    endif;
$myquery = new WP_Query ($my_query_string . "&cat=$format_id_list");
if ($myquery->have_posts()) :
        while ($myquery->have_posts()) : $myquery->the_post();
        //display non-formated posts
        endwhile;
    endif;

?>