InspectorFarquar, in that case you still use the Reply With Quote feature, but then you have to add additional QUOTE tags. You'll see the quoted text starts with QUOTE in square brackets (opening tag) and ends with /QUOTE in square brackets (the / indicates it's the closing tag). You should see that regardless of whether you use the standard or the WYSIWIG editor. Whatever is between those two tags are displayed in the quote box/bubble.
If you want to break the quoted text up into multiple sections, just make sure you add the opening tag to the start of each section (you can leave out the username and post number for subsequent sections) and the closing tag to the end of each section.
You only need to close the first section of quoted text manually (as it will already have an opening tag)
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For subsequent sections, highlight the text, and click the Quote icon in the toolbar.
That should add the opening and closing tags to either side of the quoted text. Remember the last section will again already have a closing tag, so add only the opening tag to that section manually.
Make sure your reply doesn't fall between quote tags, or your own reply can also wind up in a quote bubble. And be careful to not open a new quote tag before closing the previous one - that will cause a quote inside a quote.