Divisibility by 9

Chef Zidane likes the number 9. He has a number N, and he wants to turn it into a multiple of 9. He cannot add or remove digits, and he can only change one digit at a time. The only allowed operation is to increment or decrement a digit by one, and doing this takes exactly one second. Note that he cannot increase a digit 9 or decrease a digit 0, and the resulting number must not contain any leadin