We're dividing 555097 by 9 
We want to divide 555097 by 9.

Advancing to step 1:
When dividing 5 by 9, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 9

Step 2:
The number 9 fits into 55 6 times, leaving a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtract 54 from 55 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 9

Moving on to step 3:
9 goes into 15 1 times with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 61.0
Deduct 9 from 15 and we're left with 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 9

Going ahead to step 4:
9 can be fit into 60 6 times, resulting in a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 616.0
The remainder is 6 after subtracting 54 from 60.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 9

Advancing to step 5:
69 divided by 9 is 7 with a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 6167.0
Deduct 63 from 69 and we're left with 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 9

Let's proceed to step 6:
The number 9 fits into 67 7 times, leaving a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 61677.0
The remainder is 4 after subtracting 63 from 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
9 can be fit into 40 4 times, resulting in a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 61677.4
If we subtract 36 from 40, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
40 divided by 9 is 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 61677.44
Deduct 36 from 40 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 61677.44, and the remainder is 0.004.