We look at the division of 569641 by 71 
Let's see how many times 71 fits into 569641.

Going ahead to step 1:
The number 71 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
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 71

Let's proceed to step 2:
56 divided by 71 is 0 with a remainder of 56.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 56 and we're left with 56.
Include the next digit (9) from the dividend after 56, then repeat: 569 / 71

Let's proceed to step 3:
71 goes into 569 8 times with a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we subtract 568 from 569, we get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 71

Going ahead to step 4:
16 divided by 71 is 0 with a remainder of 16.
The next digit of our result is 0. 
Result so far: 80.0
If we subtract 0 from 16, we get 16.
Take the next digit (4) from the dividend and append it to 16, then repeat: 164 / 71

Step 5:
71 goes into 164 2 times with a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 802.0
If we subtract 142 from 164, we get 22.
Fetch the next digit (1) from the dividend, attach it to 22 and continue: 221 / 71

Moving on to step 6:
The number 71 fits into 221 3 times, leaving a remainder of 8.
The next digit of our result is 3. 
Result so far: 8023.0
Deduct 213 from 221 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.

Moving on to step 7:
When dividing 80 by 71, we get 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 8023.1
The remainder is 9 after subtracting 71 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 8:
If we divide 90 by 71, we get 1 and a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 8023.11
Deduct 71 from 90 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The final outcome is 8023.11, with a leftover of 0.019.