  We report the first observation of Shubnikov-de Haas (SdH) oscillations and
quantized Hall resistance in the multilayered massless Dirac fermion system
$\alpha$-(BEDT-TTF)$_2$I$_3$ with tilted cones. Holes were injected into the
thin crystal fixed on a polyethylene naphthalate (PEN) substrate by contact
electrification. The detection of SdH oscillations whose phase was modified by
Berry's phase $\pi$ strongly suggested that the carrier doping was successful
in this system. We succeeded in detecting the quantum Hall effect (QHE) with
the steps which is the essence of two dimensional Dirac fermion systems. The
number of effectively doped layers was examined to be two in this device. We
reveal that the correlation between effective layers plays an important role in
QHE.
