When someone free bitcoin generatorre, it's called a transaction. Transactions made in-store or online are documented by banks, point-of-sale systems, and physical receipts miners achieve the same thing by clumping transactions together The result of mining is twofold. First, when computers solve these complex math problems on the bitcoin network, they produce new bitcoin (not unlike when a mining operation extracts gold from the ground). And second, by solving computational math problems, bitcoin miners make the bitcoin payment network trustworthy and secure by verifying its transaction information.
rewarded with fees for processing transactions that network users will pay. These fees ensure that miners still have the incentive to mine and keep the network going. The idea is that competition for these fees will cause them to remain low after halvings are finished.