I unplugged and replugged the charger instead of only checking the cables of the Asus docking station.
And I ran advanced task killer, killed a bunch of apps.
After this it began to charge really quick, as I was used to it.
Now the battery is as 100%
/sys/devices/platform/tegra-i2c.4/i2c-4/4-0055/power_supply/battery/voltage_now
shows 4.179.000 µV
Which is the same as the app "akku&batterie hd" by smallte.ch reports.
So if I can exclude a hardware error, some software must have caused it.
But my highest usage shows "display" that caused 73% of the drain.
32Gb Nexus 7 - grouper
unlocked-rooted-JDQ39-4.2.2
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HTC Touch Cruise with Windows Mobile 6.1
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