We're dividing 571663 by 9 
Let's see how many times 9 fits into 571663.

Going ahead to step 1:
The number 9 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 9

Moving on to step 2:
When dividing 57 by 9, we get 6 with a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 54 from 57 leaves us with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 9

Advancing to step 3:
31 divided by 9 is 3 with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 63.0
Subtract 27 from 31 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 9

Moving on to step 4:
When dividing 46 by 9, we get 5 with a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 635.0
Subtracting 45 from 46 leaves us with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 9

Advancing to step 5:
9 goes into 16 1 times with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 6351.0
If we take 9 away from 16, we end up with 7.
Take the next digit (3) from the dividend and append it to 7, then repeat: 73 / 9

Let's proceed to step 6:
9 goes into 73 8 times with a remainder of 1.
The next digit of our result is 8. 
Result so far: 63518.0
If we subtract 72 from 73, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
9 goes into 10 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 63518.1
Subtracting 9 from 10 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 8:
If we divide 10 by 9, we get 1 and a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 63518.11
Subtracting 9 from 10 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 63518.11 with a remaining 0.001.