jQuery get content between tags

This is probably what you need:

$('div').html();

This says get the div and return all the contents inside it. See more here: http://api.jquery.com/html/

If you had many divs on the page and needed to target just one, you could set an id on the div and call it like so

$('#whatever').html();

where whatever is the id

EDIT

Now that you have clarified your question re this being a string, here is a way to do it with vanilla js:

var l = x.length;
var y = x.indexOf('<div>');
var s = x.slice(y,l);
alert(s);