Like in your pic - the wire will support and stabilize the two sides of the break. After the 'SNAP' just wrap the break with a water barrier to keep the cambium moist. I prefer to use parafilm because I have it handy for other reasons. My next choices are self-amalgamating silicone tape (though I usually wrap first when I think this might happen - this stuff is made for radiator hose repair), but just about anything will do (electrical tape like I see in the pic) because it only takes about 10-15 days for the cambium to regrow a protective epiderm (beginnings of bark). After that, the break just needs to be kept stable. Sometimes these accidents can develop into being very interesting features.
You're only SOL if you snap an unwired branch.