Question

How do get HTML between divs with JQuery or javascript or is this impossible?

<div>
   not this text
</div>

but this text

<div>
   not this text
</div>

Answer 1

Based on your posted markup you can try the following.

var elem = document.getElementsByTagName('div')[0].nextSibling;
var text = elem.textContent || elem.innerText;

http://jsfiddle.net/8gLUc/

Or if you want to select specific div elements:

var elem = $('#aParent div:first').get(0).nextSibling;
var text = elem.textContent || elem.innerText;