A sheet feeding device intermittently feeds a sheet according to commanded feeding amounts included in successively generated feeding commands. The sheet feeding device includes upstream and downstream feeding rollers rotated by respective first and second amounts of rotation corresponding to the commanded feeding amount. The sheet feeding device includes an obtaining portion for obtaining an overrun amount of the sheet immediately after a trailing edge of the sheet member has left the upstream feeding roller, based on a difference obtained by subtracting a product of a first radius and the first amount of rotation of the upstream feeding roller, from a product of a second radius and the second amount of rotation of the downstream roller. The obtained overrun amount is subtracted from the next commanded feeding amount, when estimating that the trailing edge leaves the upstream feeding roller during feeding of the sheet according to the next feeding command.