Alarm at 110°C for the Audi 80 B3 PP engine with 69 hp

Who can help me with the troubleshooting. Today when I drove in Berlin ic got problems with the coolant temperature. Warning light goes on and flashes and I had to find that the temperature has arrived at 110 degrees. Otherwise the fan always went on at approx. 98 degrees. No fan noise. Then I waited up to 90 degrees and could then drive the last kilometer to home. How to proceed now. How to test the fan motor and the sensor. I have already filled up some cooling liquid. Audi 80 Type 89 Bj 91 with 69 hp 1.6 petrol with engine code PP. Thanks already in advance.