how to remove default jquery and add js in footer?

This will do the trick when added to your functions file:

if (!is_admin()) add_action("wp_enqueue_scripts", "my_jquery_enqueue", 11);
function my_jquery_enqueue() {
   wp_deregister_script('jquery');
   wp_register_script('jquery', "//ajax.googleapis.com/ajax/libs/jquery/1.10.2/jquery.min.js", false, null);
   wp_enqueue_script('jquery');
}