A quotation is a short "reference", and a quotation is a faithful and identical "reference", that is, intact.
From the etymological point of view
Cite comes from the Latin citer, which means "to move, inspire and command". Even if you move, command ... come here. Modern means to mention something as an example, that is, just to mention it, with the purpose of explaining an idea or concept. For example, the judge cited 1956 Supreme Court ruling in her judgment. In this example, the judge only mentioned that although Chinese can be translated into "quotation", anyone who has seen American precedents knows that the judge only needs to simply quote.
On the other hand, Quote comes from Latin quotare, which means how much, how much. Modern means completely repeating what others have said or written.
That is, repeating what others have said and written. For example, she quoted an article from the newspaper.
Here she quoted other people's articles in the newspaper.