As of 2020, getting your license renewed by the state is a whole new and updated process. The whole process is now online. You are required to set up a business account with Access Washington, which is the portal the state operates for licensing of all kinds. The Department of licensing has all the instructions you need on their website under the heading "How to renew your real estate license".
Here is the link to the instructions: https://www.dol.wa.gov/business/realestate/brokersrenew.html
P.S. Make sure you have access to the certificate(s) you were sent upon completion of your courses because you have to use them in the new process for the state.