That is the correct sequence. Floss first, brush later, nothing in the mouth for at least 30 minutes after brushing, do not rinse your mouth after brushing.

I also scrape my tongue between flossing and brushing. Here is my tongue scraper:

https://www.amazon.com/Scraper-Treat.../dp/B01LAY47D0

I have several and I toss them into the dishwasher after each use. This speeds up the whole process.