Ajax - How to Print <p> or Other HTML Elements Insted of Form Text Boxes?

In all Ajax tutorials I found, the server response is
printed on a form text box as below,

document.formName.textBoxName.value = ajaxRequest.responseText;

But my server response is not just a piece of text.
It contains few paragraphs and a form. How can I print
them right below where the Ajax was called?

For an example I want to print following set of HTML,

<p>first paragraph</p>

<form name="myForm">
<input type="text" name="fName">
<input type="button" name="submit" value="Submit">
</form>

<p>second paragraph</p>

 

Check out

document.write()

PHP:

If you have the paragraphs and everything in

ajaxRequest.responseText

PHP:

you can output all that with

document.write(ajaxRequest.responseText);

PHP:

 

or element.innerHTML = ajaxObject.responseText;