You can add new div inside your web page by jquery always you want. You’ve to add the following code in your javascript function:

$("#myExistentDiv").append("<div id='MyNewDiv'>This is my dynamic DIV</div>");

In this case, you’re adding the div «MyNewDiv» inside your div with ID «myExistentDiv», just at the end of it.
You can read more in the official JQuery API Documentation here: http://api.jquery.com/append/