569884 ÷ 71 
Our goal is to divide 569884 by 71.

Step 1:
5 divided by 71 is 0 with 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.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 71

Moving on to step 2:
If we divide 56 by 71, we get 0 and 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 (9) from the dividend to 56 and continue with: 569 / 71

Going ahead to step 3:
If we divide 569 by 71, we get 8 and a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 8.0
Deduct 568 from 569 and we're left with 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 71

Advancing to step 4:
When dividing 18 by 71, we get 0 with a remainder of 18.
Use 0 as the next digit of our solution. 
Result so far: 80.0
If we subtract 0 from 18, we get 18.
Include the next digit (8) from the dividend after 18, then repeat: 188 / 71

Let's proceed to step 5:
When dividing 188 by 71, we get 2 with a remainder of 46.
The number 2 becomes the next digit in our result. 
Result so far: 802.0
If we take 142 away from 188, we end up with 46.
Append the next digit (4) from the dividend to 46 and continue with: 464 / 71

Advancing to step 6:
If we divide 464 by 71, we get 6 and a remainder of 38.
Put 6 as the next digit of the answer. 
Result so far: 8026.0
Subtract 426 from 464 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 7:
71 can be fit into 380 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 8026.5
The remainder is 25 after subtracting 355 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 8:
If we divide 250 by 71, we get 3 and a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 8026.53
If we take 213 away from 250, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 9:
370 divided by 71 is 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 8026.535
Deduct 355 from 370 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 10:
71 can be fit into 150 2 times, resulting in a remainder of 8.
The next digit of our result is 2. 
Result so far: 8026.5352
The remainder is 8 after subtracting 142 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
The number 71 fits into 80 1 times, leaving a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 8026.53521
Deduct 71 from 80 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 12:
71 goes into 90 1 times with a remainder of 19.
The next digit of our result is 1. 
Result so far: 8026.535211
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.

In conclusion, the division gives 8026.535211 with a balance of 1.9e-06.