  The flat spectrum radio quasar (FSRQ) PKS 1510-089 (z=0.361) is known for its
complex multiwavelength behavior. It has been monitored regularly at very high
energy (VHE, $E>100\,$GeV) gamma-rays with H.E.S.S. since its discovery in 2009
in order to study the unknown behavior of FSRQs in quiescence at VHE, as well
as the flux evolution around flaring events. Given the expected strong cooling
of electrons and the absorption of VHE emission within the broad-line region, a
detection of PKS 1510-089 at VHE in a quiescent state would be an important
result, implying an acceleration and emission region on scales beyond the
broad-line region. The H.E.S.S. monitoring has been intensified since 2015 and
is complemented by monitoring at high energy ($E>100\,$MeV) gamma-rays with
Fermi, at X-rays with Swift-XRT, and at optical frequencies with ATOM. The
dense lightcurves allow for the first time detailed comparison studies between
these energy bands. The source has been active in several frequency bands for a
large fraction of the observation time frames. Yet, we do not find obvious
correlations between the VHE and the other bands over the observed time frame
indicating a non-trivial interplay of the acceleration, cooling and radiative
processes. It also implies a rich variety in flaring behavior, which makes this
source difficult to interpret within a unique theoretical framework.
