Textarea inside CKEditor uneditable

Hello,

Not much to explain here, I am including form elements in my CKEditor instance, such as textfields and textareas. While textfield are editable, textareas are not. (and I am not forgetting to put contenteditable = "true")

While testing, I noticed that out of all the div in CKEditor's created div hierarchy, putting the textarea inside the one bearing the class "cke_wysiwyg_div" disabled editing, whether or not contenteditable=true is used or not.

Is there any way I can circumvent this?