Sounds like you may have to mark each number (maybe append an A, B, C, etc.) in order to know which number is which. If the numbers always come in the same order (just at random intervals), then I would suggest appending an EOL (under Serial/End of Line) because the Serial Read VI reads all characters or to the first EOL (whichever comes first). Then each number will be seperate. If there are more characters in the buffer, then you just read again. If you don't get an EOL (you read before all characters were in), then add the next read onto the end of this one.
I have attached my Pad String VI as well. It's not the most elegant (and probably not how I would make it today), but it does work.
Rob