Of course, steps can differ from web agency to web agency.

I am WordPress developing agency owner. If we are working with a client from the beginning in my team we are determining next steps in website development:

1. Technical specification
2. Creating prototype
3. Сoordination
4. Prepayment
5. Design (PSD or Sketch)
6. Сoordination
7. Page making (PSD or Sketch to HTML, CSS (SCSS), javascript (jQuery), Bootstrap and so on conversion)
8. Programming (HTML/CSS-coding to WordPress conversion)
9. Testing and coordination
10. Fixing bugs
11. Payment

Will be glad if this information will be helpful to you!