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Two point calibration; 8/16 bit MCU; complex operation

This is not keil question. General query about adc calibration.

1. I have to measure voltage in 8/16 bit MCU & have to do its calibration also.
I have selected 2 point calibration as it corrects both gain & offset error.

2. Voltage to measure = 0-5V.
Let measured at two pint: Vm1 & Vm2
Let actual volatge at those point = Vo1 & Vo2

Gain error = (Vm2-Vm1)/ (Vo1-Vo2)
offset error = Vm1 - (gain_error * Vo1)

reading = (Vm - offset_error)/gain_error;

3. Problem is this involves complex math & generally goes to float. Now using float operation on 8/16 bit MCU is very intensive.

Queries:
1. Is there any better method for which I don't have to do such float calculation. If yes any example code?

2. If no to 1, can above method be made less operation intensive like by fixed point math. If yes any example code