Help choosing correct resistor
Fortunately, most of the specifications are written on it:


1R8 means 1.8 ohms
5% is the tolerance


The only thing which is missing is the power. Fortunately, power and size are pretty closely related, so any resistor which is the same size or larger is probably fine.  In fact, given that this part has burned out, I'd be inclined to replace it with the largest/highest power resistor which fits between the holes it's soldered into.

Also, that resistor looks like it's wirewound.  So I'd be inclined to replace it with another wire-wound resistor, so that the parasitic properties are similar. Just to be on the safe side.