Immediately after their arrival, citizens of the EU and of Switzerland as well as foreign students have to register with the Bürgeramt (Citizen's Office). For this registration, you need a passport, a biometric photo, your registration certificate and a certificate of your membership in the health insurance.
All people coming from countries outside the European Union, the European Economic Community and Switzerland have to register with the Ausländerbehörde (Foreigner's Office). The Foreigners' Office deals with all matters regarding residence law. It grants the residence permit or the business establishment permit.
When you come to Dessau-Roßlau in the course of asylum proceedings, all data regarding the state of your proceedings are given to the local foreigners' office. Nevertheless you have to personally register with the Foreigners' Office with all your family members. If possible, use the services of a Sprachmittler (translator or interpreter) for assistance.