I want to have the capability of dragging an element from inside one div into another.
jQuery UI draggable and droppable, but they seem to only manipulate the elements v
It is not manipulating DOM because as far as I know that's what they are designed to do.
If you want to manipulate the DOM then you can the following trick
You can use helper option, THEN when the element is dropped, read the co-ordinates and then use jQuery Clone function to clone your original div#moveMe
to the drop area #secondDiv
AND THEN remove the original element #firstDiv > div#moveMe