display div inside text area

You cannot place HTML elements inside a text area, only text content.

You cannot put div in textarea but sometimes you need to do so. Good news is that you can do it in other way by using contenteditable property of elements. Like

 <div contenteditable="true" style="min-height:50px; width:300px;" id="txtDiv">
 </div>

This Div will behave exactly like a Textarea but you can append anything you want. And remember when you want to grab data from inside it in jquery

 var ContentofDiv = $('#txtDiv').html();

Now you can append childs just like others.