Let's divide 575558 by 9
We want to figure out the number of times 575558 can be divided by 9.

Advancing to step 1:
5 divided by 9 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 9

Advancing to step 2:
The number 9 fits into 57 6 times, leaving a remainder of 3.
The next digit of our result is 6. 
Result so far: 6.0
If we take 54 away from 57, we end up with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 9

On to step 3:
9 can be fit into 35 3 times, resulting in a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 63.0
The remainder is 8 after subtracting 27 from 35.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 9

Going ahead to step 4:
9 goes into 85 9 times with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 639.0
If we subtract 81 from 85, we get 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 9

Step 5:
If we divide 45 by 9, we get 5 and a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 6395.0
Subtract 45 from 45 to get 0.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 9

On to step 6:
The number 9 fits into 8 0 times, leaving a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 63950.0
If we take 0 away from 8, we end up 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.

Going ahead to step 7:
The number 9 fits into 80 8 times, leaving a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 63950.8
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.

Let's proceed to step 8:
The number 9 fits into 80 8 times, leaving a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 63950.88
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 quotient of the division is 63950.88, and the remainder is 0.008.