We look at the division of 628509 by 9 
Let's see how many times 9 fits into 628509.

On to step 1:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 9

Advancing to step 2:
If we divide 62 by 9, we get 6 and a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 54 from 62, we get 8.
Fetch the next digit (8) from the dividend, attach it to 8 and continue: 88 / 9

Moving on to step 3:
88 divided by 9 is 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 69.0
If we subtract 81 from 88, we get 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 9

Moving on to step 4:
The number 9 fits into 75 8 times, leaving a remainder of 3.
Record the quotient 8 as the next digit in the result. 
Result so far: 698.0
Subtract 72 from 75 to get 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 9

Let's proceed to step 5:
30 divided by 9 is 3 with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 6983.0
If we take 27 away from 30, we end up with 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 9

On to step 6:
9 can be fit into 39 4 times, resulting in a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 69834.0
If we take 36 away from 39, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
30 divided by 9 is 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 69834.3
Deduct 27 from 30 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 8:
If we divide 30 by 9, we get 3 and a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 69834.33
Deduct 27 from 30 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 69834.33 with a balance of 0.003.