A machine which contains a housing (14) having a placement surface for the beverage container (13), wherein a removable brewing container (8) having a drain stub (19) and having a drain valve (10) that can be electrically or electromagnetically opened and closed is arranged in the housing (14). The actual brewing process is automatically controlled by a control unit (11). The water is pumped by a vibrating armature pump (16) through a heating system (15) and through a water outlet in the cover (4) having an integrated temperature sensor (24) through the cover (5) into the brewing container (8). A pressure sensor (12) ensures that the water is not heated above the pressure-dependent current boiling point. The control unit (11) can be programmed by means of a control panel (7) on the housing, for at least the brewing temperature, the brewing duration, and the start of a brewing cycle. Furthermore, a radio interface and an associated antenna (9) are present, for the communication of the control unit (11) with a smartphone by means of an established communication standard such as WIFI or Bluetooth, or with a computer or laptop via the internet, such that the machine can be remotely operated.