Natural uranium is about 99.27 per cent uranium-238, half-life roughly 4.5 billion years, and 0.72 per cent uranium-235, half-life about 700 million years. Only the second is fissile, meaning that a slow neutron can split it and release further neutrons, which can go on to split further nuclei.
In December 1938 Otto Hahn and Fritz Strassmann in Berlin bombarded uranium with neutrons and found barium among the products, which made no sense: barium is roughly half the mass of uranium. Hahn wrote to Lise Meitner, his collaborator of thirty years, who had fled to Sweden that summer. Meitner and her nephew Otto Frisch worked out over Christmas that the nucleus had split, calculated the energy released from the mass difference using Einstein's relation, and published the explanation early in 1939. Frisch named it fission. Hahn alone received the Nobel Prize for it in 1944.
Everything that followed, the Manhattan Project, the reactor, the bomb and much of the political history of the second half of the twentieth century, comes from that result.
The Earth had done it first. In 1972 French analysts noticed that uranium from the Oklo mine in Gabon was slightly depleted in uranium-235, below the 0.72 per cent that is otherwise invariant throughout the solar system. The explanation, proposed by Francis Perrin, is that about 1.7 billion years ago the ore body sustained natural nuclear chain reactions. At that time, because uranium-235 decays faster than uranium-238, natural uranium was about three per cent uranium-235, close to the enrichment used in modern power reactors, and groundwater in the porous ore served as the moderator. At least fifteen such zones have been identified. They ran intermittently, in pulses governed by water boiling away and returning, over a period of the order of hundreds of thousands of years.