thanks to immigration:
End-2011 population: 81.843.743
End-2010 population: 81.751.602
Total growth: +92.141
2011 births: 662.712
2011 deaths: 852 359
2011 natural decrease: -189.647
2011 immigrants: 958.156
2011 emigrants: 678.949
2011 immigration balance: +279.207
https://www.destatis.de/DE/Publikationen/Thematisch/Bevoelkerung/Bevoelkerungsstand/VorlBevoelkerungsfortschreibung5124103119004.pdf?__blob=publicationFile...
Of course, the 2011 Census results will be released in November and it is estimated that the population is actually closer to 80 million rather than 82 million, because there have been many people in the registers in the past 25-30 years that either moved abroad without de-registering in their home towns, or moved within Germany without de-registering or simply died. This should be especially the case in Eastern Germany after the fall of the Wall.