Hello and welcome.
First: forget about splitting the battery pack or tapping the 8V from some intermediate connection within the battery stack. Thsi will drain the cells unevenly and lead to early death of the battery since you will not be able (at least not easily) to recharge the cells individually.
Use a voltage regulator that is suitable for 24 V input and can deliver 8 V at its output. Depending on the current needs a switch mode regulator is probably best suited. Judging from your question I wouldn't recommend that you build your own DC/DC converter - it takes some experience. You can buy ready made (adjustable)
modules like this (only one example). You find these modules (or similar ones, also in kit form) at many electronics stores. Observe the necessary current rating!
Harald