Technically, during mining, the Bitcoin mining software runs two rounds of SHA256 cryptographic hashing function on the block header. The mining software uses different numbers called the nonce as the random element of the block header for each new hash that is tried. Depending on the nonce and what else is in the block the hashing function will yield a hash of a 64-bit hexadecimal number.  To create a valid block, the mining software has to find a hash that is below the difficulty target.

The amount of new bitcoin released with each mined block is called the block reward. The block reward is halved every 210,000 blocks, or roughly every 4 years. The block reward started at 50 in 2009, is now 12.5 in 2018, and will continue to decrease. This diminishing block reward will result in a total release of bitcoin that approaches 21 million.  
According to the European Central Bank, the decentralization of money offered by bitcoin has its theoretical roots in the Austrian school of economics, especially with Friedrich von Hayek in his book Denationalisation of Money: The Argument Refined,[120] in which he advocates a complete free market in the production, distribution and management of money to end the monopoly of central banks.[121]:22
Because the target is such an unwieldy number with tons of digits, people generally use a simpler number to express the current target. This number is called the mining difficulty. The mining difficulty expresses how much harder the current block is to generate compared to the first block. So a difficulty of 70000 means to generate the current block you have to do 70000 times more work than Satoshi Nakamoto had to do generating the first block. To be fair, back then mining hardware and algorithms were a lot slower and less optimized.
The place was relatively easy to find. Less than three hours east of Seattle, on the other side of the Cascade Mountains, you could buy electricity for around 2.5 cents per kilowatt, which was a quarter of Seattle’s rate and around a fifth of the national average. Carlson’s dream began to fall into place. He found an engineer in Poland who had just developed a much faster, more energy-efficient server, and whom he persuaded to back Carlson’s new venture, then called Mega-BigPower. In late 2012, Carlson found some empty retail space in the city of Wenatchee, just a few blocks from the Columbia River, and began to experiment with configurations of servers and cooling systems until he found something he could scale up into the biggest bitcoin mine in the world. The boom here had officially begun.
In January 2009, the bitcoin network was created when Nakamoto mined the first block of the chain, known as the genesis block.[18][19] Embedded in the coinbase of this block was the following text: "The Times 03/Jan/2009 Chancellor on brink of second bailout for banks."[10] This note has been interpreted as both a timestamp and a comment on the instability caused by fractional-reserve banking.[20]:18