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I was surprised question #4532473 got closed unanswered about what happens if you want to capture the afterpaste event. As this is probably the problem half of the cases a possible approach in firefox (tested) is to register an oninput event right inside the onpaste handler and remove the oninput handler as soon as it's done executing.
In ie the onpropertychange should be used instead of oninput. (not tested)