Multiple Quotes, Single Source

Hi

What are the rules for quoting multiple paragraphs from a single source (say a newspaper article) if you are quoting them in succession in your work but out of their original order? I remember reading that you put an opening quotation mark at the start of the first paragraph and then one at the start of each subsequent paragraph but you don't use a closing quotation mark until the end of the last quoted paragraph. Is this right? I'm probably confused.

Thanks for your help.