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[–] KoKansei ago 

The hashing performed by the miners is the means by which the entire network is secured against double-spending. Is maintaining the existence of a 300 billion dollar ledger not a valuable service?

In order to find a block, a miner must iterate a hashing function trillions of times until the designated output is obtained. The designated output is not zero but a value that is preceded by many zeros in hex notation. Keep reading, check what you don't understand using google, and you will get it.

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[–] AinzOown ago 

https://coincenter.org/entry/what-is-bitcoin-mining-and-why-is-it-necessary

Ok, it sounds like they do that function, but the guessing the nonce part sounds like unnecessary work done to pick the winner of a bitcoin.

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[–] KoKansei ago 

It is necessary to prove that a certain amount of hashpower (work) was committed to finding the block, hence "proof of work"