13.6 V is surface charge. You need to remove the surface charge first. Turn the head lights on hi-beam to put load on the battery, that will remove surface charge, watch the voltmeter - let the voltage drop below 12.5 V and turn the head lights "off" the voltage should now return to above 12.5V and use table below to check your battery state of charge.
Open Circuit Voltage Approximate State-of-Charge at 25°C
12.65V - 100%
12.45V - 75%
12.24V - 50%
12.06V - 25%
11.89V or less - DISCHARGED
You can get/make longer leads for your voltmeter. I even thinking about installing voltmeter in my van. Something like digital thermometer with voltmeter from the Jaycar store.
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