Electronic – Precision voltage divider

If you can't connect the circuits an analog optocoupler like the IL300 may be useful:

The input and output remain separated, yet you have the analog value of the battery's level available to the ADC on the other side. The IL300 has an excellent 0.01% servo linearity.

(Vcc and ground left and right of the optocoupler are obviously different.)

transfer function
Opamp U1 will try to make its inverting input equal to \$V_{IN}\$, that's

\$ I_{P1} = \dfrac{V_{IN}}{R1} \$

It controls \$I_{P1}\$ by varying the LED's current \$I_F\$, but we don't need this value in our calculation. Since the photodiodes are matched \$I_{P1} = I_{P2}\$, and the output of U2 is

\$ V_{OUT} = I_{P2} \times R2 \$

so that

\$ V_{OUT} = \dfrac{R2}{R1} \times V_{IN} \$

So, even when R1 is drawn far away from U2 it plays a role for it. The circuit might not work if you choose R2 ten times larger than R1 and your input voltage is 2V.

edit
The short circuit current for the photodiodes is 70 µA. If Vin is for instance 1 V then R1 must be at least 15 kΩ to allow the opamps to get Vb also to 1 V. A value of 100 kΩ for R1 (and R2) will give you an input range of several volts.

What you're describing is a passive attenuation circuit as a stage prior to your ADC, probably because you expect there to be some voltage exceeding the accepted range of the ADC and you want to either (1) protect it from damage, or (2) scale the data so that you can still perform ADC measurements on large voltages.

For aim (1), this is not sufficient. It is very important that you have TVS (transient voltage suppression) and/or over-voltage zener protection on every input line to your system. If it is a 5V-tolerant input at the MCU, you can connect every input line after your 10k resistor bank to a Shottky diode, each connected to 5V. This is what I consider a bare minimum for circuit protection.

For (2) (scaling your data), it seems you have two attenuation modes - the first, where you have a 20k/10k divider scaling to an equivalent 66%, and the second where you have a (20k||1k)/10k divider scaling to an equivalent 8.7%.

In the first mode, your maximum input voltage would be 7.5V. In the second mode, your maximum input voltage would be 57.5V.

You probably also want to consider stability - get some idea of how fast you expect your input to vary, and then add stabilization capacitors to all of your inputs, likely across your 20k resistors, to filter out noise.