We look at the division of 566742 by 71 
We want to divide 566742 by 71.

Let's proceed to step 1:
When dividing 5 by 71, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 71

Let's proceed to step 2:
56 divided by 71 is 0 with a remainder of 56.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 56 leaves us with 56.
Grab the next digit (6) from the dividend, add it to 56, then carry on: 566 / 71

Advancing to step 3:
71 goes into 566 7 times with a remainder of 69.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 497 away from 566, we end up with 69.
Take the next digit (7) from the dividend and append it to 69, then repeat: 697 / 71

On to step 4:
71 can be fit into 697 9 times, resulting in a remainder of 58.
Use 9 as the next digit of our solution. 
Result so far: 79.0
If we subtract 639 from 697, we get 58.
Append the next digit (4) from the dividend to 58 and continue with: 584 / 71

Moving on to step 5:
If we divide 584 by 71, we get 8 and a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 798.0
If we take 568 away from 584, we end up with 16.
Append the next digit (2) from the dividend to 16 and continue with: 162 / 71

On to step 6:
If we divide 162 by 71, we get 2 and a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 7982.0
Deduct 142 from 162 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 7:
71 can be fit into 200 2 times, resulting in a remainder of 58.
The number 2 becomes the next digit in our result. 
Result so far: 7982.2
Subtract 142 from 200 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 8:
The number 71 fits into 580 8 times, leaving a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 7982.28
If we take 568 away from 580, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
The number 71 fits into 120 1 times, leaving a remainder of 49.
Write down 1 as next digit of the result. 
Result so far: 7982.281
Subtracting 71 from 120 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 10:
71 goes into 490 6 times with a remainder of 64.
Record the quotient 6 as the next digit in the result. 
Result so far: 7982.2816
Subtracting 426 from 490 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 11:
If we divide 640 by 71, we get 9 and a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 7982.28169
Deduct 639 from 640 and we're left 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.

Going ahead to step 12:
The number 71 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 7982.28169
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
If we divide 100 by 71, we get 1 and a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 7982.2816901
Subtracting 71 from 100 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 14:
When dividing 290 by 71, we get 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 7982.28169014
If we subtract 284 from 290, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 7982.28169014 and a remainder of 6e-09.