556568 ÷ 9 
Let's see how many times 9 fits into 556568.

Moving on to step 1:
The number 9 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 9

Advancing to step 2:
9 can be fit into 55 6 times, resulting in a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 54 from 55 to get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 9

Going ahead to step 3:
The number 9 fits into 16 1 times, leaving a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 61.0
Subtract 9 from 16 to get 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 9

Let's proceed 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: 618.0
Deduct 72 from 75 and we're left with 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 9

Moving on to step 5:
9 can be fit into 36 4 times, resulting in a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 6184.0
Subtract 36 from 36 to get 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 9

Going ahead to step 6:
9 goes into 8 0 times with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 61840.0
Subtract 0 from 8 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
80 divided by 9 is 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 61840.8
The remainder is 8 after subtracting 72 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
9 can be fit into 80 8 times, resulting in a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 61840.88
Deduct 72 from 80 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final outcome is 61840.88, with a leftover of 0.008.