Spring MVC video download ranged

I am building a video streaming web application. It uses an HTML5 video player. In order to prevent loading the entire file into memory, I am using the following code

@RequestMapping(value = "/video/{videoId}" )
public void downloadVideo(
    @PathVariable(value = "videoId") long videoId,
    HttpServletResponse response) {

    Video video = getVideo(videoId);
    response.setContentLength((int) video.getSize());
    response.setContentType(video.getMimeType());

    Iterable<byte[]> fileContents = video.getContents();

    ServletOutputStream outputStream = response.getOutputStream();
    for (byte[] bytes : fileContents) {
        outputStream.write(bytes);
    }
}

video.getContents() returns a custom buffered object which can be treated as an iterable array of bytes (could also be a BufferedInputStream). The video stream works great when you start playing from the beginning.

However when you skip forward or rewind in the video, the browser sends a range header Range: bytes=23432-. When this happens, it fails with the exception java.lang.IllegalStateException: getOutputStream() has already been called for this response.

How do I modify this to work for ranged queries.