It totally depends on how your remote is measuring the voltage. What's the minimum impedance for the ADC? What's the sample rate, refresh rate to the display, and is there any averaging and/or extreme value error rejection, et al. What is a "useable" noise level for YOU, the user? If the value jumps around a bit, but you still get the info you need, then that might be fine. If the value is jittery and has some significant offset, but it's consistent and you still get the info you need, then this might also be fine.
If you have the schematic and part numbers, you could look up the minimum impedance for w/e is doing the ADC. But this is only a guideline, and depending on the implementation it might be possible to go a lot lower/higher. Since the only goal is to provide information to a human being, frequency/response is not really on the map. The minimum ADC could theoretically be violated by a long ways and still give a useable refresh rate by using a low sample rate and an RC circuit, sample averaging if there is noise, etc... but since you are not doing the coding, you don't really know what you have, there.
For a typical ADC on an 8 bit PIC, this might be 10K-20K. As a ballpark figure you might use a 60K resistor on the top of the ladder and 10K on the bottom. And see if you can get a stable/consistent reading from this setup. If not, reduce the values. If fine, try increasing the values. Sometimes a small RC circuit is put on the ADC pin to reduce noise. Depending on the circuit/firmware and desired results, this may or may not be necessary.
If you cannot get the results you want, you may consider using an opamp instead of a resistor ladder to get your voltage reduction.
The circuit Jeroen3 posted looks like a fine place to start, but IMO, I would greatly reduce the value of the 100k RC resistor. That's an extra 100k of signal impedance which does not do much at all to conserve battery. The idea behind the RC is to reduce noise, but by increasing signal impedance too high, you can increase noise and even "clip" the ADC reading; this is all dependent on the current draw and sample rate of the ADC, and you do not know that. In my guesstimation, you don't need anything higher than 10k on the RC resistor and possibly even much lower. You do not need to increase the signal impedance to protect the ADC. It can be connected directly to a high current rail. The only reason is to reduce noise with the RC circuit, so don't overdo it.