  The Majorana Demonstrator is a neutrinoless double-beta decay search
consisting of a low-background modular array of high-purity germanium
detectors, $\sim2/3$ of which are enriched to 88\% in $^{76}$Ge. The experiment
is also searching for double-beta decay of $^{76}$Ge to excited states (e.s.)
in $^{76}$Se. $^{76}$Ge can decay into three daughter states of $^{76}$Se, with
clear event signatures consisting of a $\beta\beta$-decay followed by the
prompt emission of one or two $\gamma$-rays. This results with high probability
in multi-detector coincidences. The granularity of the Demonstrator detector
array enables powerful discrimination of this event signature from backgrounds.
Using 41.9~kg-y of isotopic exposure, the Demonstrator has set world leading
limits for each e.s.\ decay of $^{76}$Ge, with 90\% CL lower half-life limits
in the range of $(0.75-4.0)\times10^{24}$~y. In particular, for the $2\nu$
transition to the first $0^+$ e.s.\ of $^{76}$Se, a lower half-life limit of
$7.5\times10^{23}$~y at 90\% CL was achieved.
