To quote means copying or repeating something that has been said by someone else, either in text or through speech. Quote can also mean a proposed price for a service.
When written, the quote itself is set off inside quotation marks. This is done to show the beginning and end of the referenced speech. Quotes are used for several purposes, including demonstrating one's point. Inspirational speeches and words of wisdom are also often quoted, especially in situations where people are grieving or overcoming hardships.
When a quote is referring to money, it often refers to the estimated cost of service, such as those provided by contractors and insurance companies.