Stuttgart remain bottom of the Bundesliga after a 1-0 home defeat to Augsburg, while Hamburg beat Werder Bremen 2-0.
Bayern Munich won to move seven points clear in the Bundesliga as a Werder Bremen win sent Borussia Dortmund bottom.
Tobias Werner became Augsburg's outright record Bundesliga goalscorer with a brace as they saw off Paderborn 3-0.
Schalke rode their luck to pick up three precious Bundesliga points against Augsburg on Friday night.
Borussia Dortmund's wretched start to the Bundesliga season continued against Hannover, while Roberto Di Matteo lost his first game at Schalke.
Augsburg lifted themselves into mid-table with a 2-0 Bundesliga triumph over winless Freiburg at the Augsburg Arena on Saturday.
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