  Measurements of $K^{*}(892)^0$ resonance production via its $K^{+}\pi^{-}$
decay mode in inelastic $p+p$ collisions at beam momenta 40 and 80 GeV/$c$
($\sqrt{s_{NN}}=8.8$ and 12.3 GeV) are presented. The data were recorded by the
NA61/SHINE hadron spectrometer at the CERN Super Proton Synchrotron. The
\textit{template} method was used to extract the $K^{*}(892)^0$ signal.
Transverse momentum and rapidity spectra were obtained. The mean multiplicities
of $K^{*}(892)^0$ mesons were found to be $(35.1 \pm 1.3 \mathrm{(stat)} \pm
3.6 \mathrm{(sys)) \cdot 10^{-3}}$ at 40 GeV/$c$ and $(58.3 \pm 1.9
\mathrm{(stat)} \pm 4.9 \mathrm{(sys)) \cdot 10^{-3}}$ at 80 GeV/$c$. The
NA61/SHINE results are compared with the EPOS1.99 and Hadron Resonance Gas
models as well as with world data. The transverse mass spectra of
$K^{*}(892)^0$ mesons and other particles previously reported by NA61/SHINE
were fitted within the Blast-Wave model. The transverse flow velocities are
close to 0.1--0.2 of the speed of light and are significantly smaller than the
ones determined in heavy nucleus-nucleus interactions at the same beam momenta.
