You should note that "(price) quote / quotation" and "(price) estimate" have different connotation in business.
In business, "price quote", "price quotation" or just "quote", "quotation" are synonymous. If there is context around the word, you don't have to use "price".
"(Price) Quote" or "(price) quotation" is usually used for instant or short-term sales (trade) for various products (such as mass-produced products or items) for which estimation of a price is not complicated. For example, they are broadly used for financial products such as foreign (currency) exchange, stocks, and other related derivatives such as forwards and options. When you give a quote or quotation, you can't change a fixed price offer.
However, "(price) estimate" is used for a project or products that are not made frequently and repeatedly. You need to consider various unforeseen developments and other cost factors.
For example, when you are a realtor (real estate agent), you usually get quotes or quotations for a house which has already been built. However, for apartments or houses that are being built, chances are higher that you will get an estimate rather than a quote as their final price could be changed.
I worked in a financial industry and traders (F/X, bond, stocks) all use just "quote", especially if you are a trader who executes tens of transactions in an extremely short time span. Who would want to use "quotation" which is longer and more difficult to pronounce?
But you have to note that each industry has a unique way of calling this "price estimation" and a possible answer to your question is It depends.