Inaccurate and non-precise voltage reading from Arduino Analog pin float get_volt() {
  rawVolt = analogRead(voltageSensor);
  vOUT = (rawVolt * 4.6) / 1024.0;
  vIN = vOUT / (R2/(R1+R2));
  //if(vIN&gt;12.0){vIN=12;}
  //if(vIN&lt;11.12){vIN=11.12;}
  //return (vIN - 10.18) * (100 - 0) / (12.0 - 10.18) + 0;
  return vIN;
}

I am using a voltage sensor module which has a voltage divider with R1=30K Ohms and R2=7.5K Ohms and can measure up to 0-25V by using 10-bit Analog pin of arduino. the battery voltage comes as 11.4 volts when measured with a multimeter but I am getting an inaccurate reading from arduino ranging from 10.8 to 11.4. the Arduino voltage reference is stable at 4.6 V. Please help me to fix this, you can see the voltage reading in the image
PS: the battery and arduino are connected to the same ground.

edit1: adding 0.1uf capacitor helped to improve from this

to this!

the data is taken for over a period of 1 hr at every 5 seconds, its a 12V 4000 mAh battery
This should be a lot of fun but you might consider doing some research on analog circuits and A/D circuits. You have way too many digits to the right of the decimal, the accuracy is not there. The best you can get is 0.0044 volts per count with a 4.6v reference. What are you using to make your measurements, you need at 5 1/2 digit meter to have the decade better accuracy then what you are calibrating to. Your reference you state is 4.6 volts, something is not correct is should be 5.000V. You know any load placed on the on board regulator will have an effect on your A/D readings. The tolerance of the resistors you are using will have an impact on your reading. They generate noise that could be affecting your readings. 100nF should be enough capacitance,this will lower the input impedance. Increasing capacitance beyond this will slow the settling time of the circuit. If you are powering this from a computer USB expect noise from that power source, That would also explain the lower reference voltage on the A/D. With what you indicate you have, you are actually doing very well.