We look at the division of 568822 by 71 
Our goal is to divide 568822 by 71.

Advancing to step 1:
5 divided by 71 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 71

Let's proceed to step 2:
When dividing 56 by 71, we get 0 with a remainder of 56.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 56, we get 56.
Append the next digit (8) from the dividend to 56 and continue with: 568 / 71

Let's proceed to step 3:
When dividing 568 by 71, we get 8 with a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 568 away from 568, we end up with 0.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 71

Advancing to step 4:
If we divide 8 by 71, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 80.0
Subtract 0 from 8 to get 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 71

Moving on to step 5:
The number 71 fits into 82 1 times, leaving a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 801.0
If we take 71 away from 82, we end up with 11.
Include the next digit (2) from the dividend after 11, then repeat: 112 / 71

On to step 6:
If we divide 112 by 71, we get 1 and a remainder of 41.
Write down 1 as next digit of the result. 
Result so far: 8011.0
If we take 71 away from 112, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 7:
When dividing 410 by 71, we get 5 with a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 8011.5
Subtracting 355 from 410 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 8:
71 goes into 550 7 times with a remainder of 53.
The number 7 becomes the next digit in our result. 
Result so far: 8011.57
Deduct 497 from 550 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 9:
If we divide 530 by 71, we get 7 and a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 8011.577
If we take 497 away from 530, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

After the division, we end up with 8011.577 and a remainder of 0.0033.