568542 ÷ 71 
We want to figure out the number of times 568542 can be divided by 71.

Going ahead to step 1:
If we divide 5 by 71, we get 0 and 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.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 71

Moving on to step 2:
If we divide 56 by 71, we get 0 and a remainder of 56.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 56 leaves us with 56.
Append the next digit (8) from the dividend to 56 and continue with: 568 / 71

Step 3:
568 divided by 71 is 8 with a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 8.0
The remainder is 0 after subtracting 568 from 568.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 71

Step 4:
71 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 80.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 71

Going ahead to step 5:
71 can be fit into 54 0 times, resulting in a remainder of 54.
The number 0 becomes the next digit in our result. 
Result so far: 800.0
Deduct 0 from 54 and we're left with 54.
Bring next digit (2) of the dividend behind the 54 and repeat the process: 542 / 71

Advancing to step 6:
If we divide 542 by 71, we get 7 and a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 8007.0
If we subtract 497 from 542, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 7:
The number 71 fits into 450 6 times, leaving a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 8007.6
If we subtract 426 from 450, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 8:
71 goes into 240 3 times with a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 8007.63
Deduct 213 from 240 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 9:
71 can be fit into 270 3 times, resulting in a remainder of 57.
Put 3 as the next digit of the answer. 
Result so far: 8007.633
If we subtract 213 from 270, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

In conclusion, the division gives 8007.633 with a balance of 0.0057.