Most appliances just have the main parts available for replacement, rather than the individual components. You would just change the main board rather than replace a resistor, for example.
If you don’t know how to find the broken component on a board, that’s not something that the service manual would help you with either. There’s too much of a risk of someone hurting themselves for the washing machine companies to go to that level of detail.
At that point you would need to figure out which part is broken and either replace the whole thing, or take it to a repair shop, but that would probably cost more than buying the whole part as a replacement.
Ah, I misunderstood. When you were talking about a multimeter, I thought you meant that you wanted to replace individual components.
It might be worth posting on one of the DIY communities and describing the symptoms and any error codes. Even though you’re unlikely to find someone with the same model, washing machines are all fairly similar, so you might be able to narrow it down to the likely part 🙂