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We measure the branching fractions for the decays $\bar{B}^0 \to D^{*+} e^{-}\bar{\nu}_e$ and $\bar{B}^0 \to D^{*+} \mu^{-} \bar{\nu}_\mu$ using $8.70 \pm0.09~{\rm fb}^{-1}$ of data collected by the Belle II experiment at theSuperKEKB asymmetric-energy $e^+ e^-$ collider. Candidate signal decays arereconstructed with the subsequent decays $D^{*+}\to D^0 \pi^+$ and $D^0\toK^-\pi^+$. We obtain the results ${\cal B}(\bar{B}^0 \to D^{*+} e^{-}\bar{\nu}_e)$ = $(4.55\pm0.14(\mathrm{stat})\pm0.35 (\mathrm{syst})) \%$ and${\cal B}(\bar{B}^0 \to D^{*+} \mu^{-} \bar{\nu}_\mu)$ = $(4.84\pm0.13(\mathrm{stat})\pm0.37(\mathrm{syst})) \%$, in agreement with the worldaverages. The measurements serve to validate the full chain of detectoroperation and calibration, data collection and processing, and production ofphysics results in the case of semileptonic $B$-meson decays.

Measurement of the branching fraction ${\cal B}(\bar B^0\to D^{*+}\ell^-\bar\nu_\ell)$ with early Belle II data