We're dividing 555603 by 9 
We want to divide 555603 by 9.

Let's proceed to step 1:
9 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 9

Step 2:
9 can be fit into 55 6 times, resulting in a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 54 from 55, we get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 9

On to step 3:
9 goes into 15 1 times with a remainder of 6.
The next digit of our result is 1. 
Result so far: 61.0
Subtract 9 from 15 to get 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 9

On to step 4:
When dividing 66 by 9, we get 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 617.0
Subtracting 63 from 66 leaves us with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 9

Advancing to step 5:
9 can be fit into 30 3 times, resulting in a remainder of 3.
The next digit of our result is 3. 
Result so far: 6173.0
Subtracting 27 from 30 leaves us with 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 9

Advancing to step 6:
If we divide 33 by 9, we get 3 and a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 61733.0
If we take 27 away from 33, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
The number 9 fits into 60 6 times, leaving a remainder of 6.
The next digit of our result is 6. 
Result so far: 61733.6
If we take 54 away from 60, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 8:
60 divided by 9 is 6 with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 61733.66
Subtract 54 from 60 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 61733.66 with a remaining 0.006.