My question is, how to put a non clickable text in there.
If it where a link, I would probably get it done.
I think I would open tpl_header and make a
<div id="shipping">
Link here
</div>
go to the stylesheet and ad #shipping.
Something like that.

But now I want to add just the words Free shipping (in english, and gratis verzending in dutch) and I don't want to make it a link.
How do I add those words if I don't want them to do anything?