Why did Reconstruction end in 1877?

As two men ran during the election, the vote was split to 7 Democrats and 8 Republicans and David Davis, a Supreme court judge as the deciding factor, however after taking the Illinois Senate seat, David he wasn't allowed to vote. Joseph P. Bradley, a Republican, took his place and the vote ended 8 to 7 Hayes won the election. With his election Hayes expressed equality for both races, and with that he pulled the remaining Union soldiers out of the South which led to the fall of the last Republican administrations, and with that Reconstruction ended.