Help - I'm logically challenged!!!

Hi,
I have a method which needs to iterate through a string, at the moment looking for 2 characters, but will be more. I use this code to do the looping and looking.
            int i = 0;
            while ((i = name.IndexOf('\'', i)) != -1)
            {
                name =
                    name.Substring(0, i).TrimEnd() +               
                    name.Substring(i, 1) +           ...