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The Qur'an does not mention the act of stoning. However, according to one hadith this is because the verse(s) calling for rajm were accidentally eaten by a goat.
[Narrated 'Aisha] "The verse of the stoning and of suckling an adult ten times were revealed, and they were (written) on a paper and kept under my bed. When the messenger of Allah expired and we were preoccupied with his death, a goat entered and ate away the paper."
Muslim scholars have rejected this hadith, however because all common routes of transmission of it either contain narrators charged with dishonesty when disclosing their sources, or (in the case of the version in Ibn Hanbal's Musnad) conflict with all versions of the hadith which bear authentic routes - none of which mention the goat eating the piece of paper.