Your partner downloads the immigration sec. 38 app from the google playstore, submits a few documents (housebook, id card, rental contract depending on situation) to register her residence in the system.
When that is approved, she can log into the system and fill out a TM30 registering you at the residence.
You can do a search in the app to show the status of your application. Once it's approved, take a screenshot for your phone, and print off for future use.
Your first 90-day report must be done in person. After that you can use the online system.