again I applied 1.86v and got 10.31
10.3V is about the maximum the LM324 can deliver it's output with 12.xxV supply voltage due to saturation.
One advantage of the LM324 you have already discovert, it can take an input signal close to GND. But too close and you might get in trouble.
If you measure a little more ponits, you end up with a graph like this.
As you can see, it is fairly linear, besides from the top and bottom end so to speak. But that's all you can expect from a LM324 anyway.