c# split large file into chunks

public static void SplitFile(string inputFile, int chunkSize, string path)
{
    const int BUFFER_SIZE = 20 * 1024;
    byte[] buffer = new byte[BUFFER_SIZE];

    using (Stream input = File.OpenRead(inputFile))
    {
        int index = 0;
        while (input.Position < input.Length)
        {
            using (Stream output = File.Create(path + "\\" + index))
            {
                int remaining = chunkSize, bytesRead;
                while (remaining > 0 && (bytesRead = input.Read(buffer, 0,
                        Math.Min(remaining, BUFFER_SIZE))) > 0)
                {
                    output.Write(buffer, 0, bytesRead);
                    remaining -= bytesRead;
                }
            }
            index++;
            Thread.Sleep(500); // experimental; perhaps try it
        }
    }
}