  In 1935 Schr\"odinger introduced the terms entanglement and steering in the
context of the famous gedanken experiment discussed by Einstein, Podolsky, and
Rosen (EPR). Here, we report on a sixfold increase of the observed EPR-steering
effect as quantified by the Reid-criterion. We achieved an unprecedented low
conditional variance product of about 0.04 < 1, where 1 is the upper bound
below which steering is present. The steering effect was observed on an
unconditional two-mode-squeezed entangled state that contained a total vacuum
state contribution of less than 8%, including detection imperfections. Together
with the achieved high interference contrast between the entangled state and a
bright coherent laser field, our state is compatible with efficient
applications in high-power laser interferometers and fiber-based networks for
entanglement distribution.
