Let's divide 567824 by 71
We're looking to find how many times 71 goes into 567824.

Step 1:
If we divide 5 by 71, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 71

Advancing to step 2:
56 divided by 71 is 0 with a remainder of 56.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 56 after subtracting 0 from 56.
Bring next digit (7) of the dividend behind the 56 and repeat the process: 567 / 71

Step 3:
567 divided by 71 is 7 with a remainder of 70.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 497 from 567 and we're left with 70.
Include the next digit (8) from the dividend after 70, then repeat: 708 / 71

On to step 4:
71 can be fit into 708 9 times, resulting in a remainder of 69.
The next digit of our result is 9. 
Result so far: 79.0
If we subtract 639 from 708, we get 69.
Include the next digit (2) from the dividend after 69, then repeat: 692 / 71

Step 5:
692 divided by 71 is 9 with a remainder of 53.
Record the quotient 9 as the next digit in the result. 
Result so far: 799.0
The remainder is 53 after subtracting 639 from 692.
Include the next digit (4) from the dividend after 53, then repeat: 534 / 71

Advancing to step 6:
534 divided by 71 is 7 with a remainder of 37.
Put 7 as the next digit of the answer. 
Result so far: 7997.0
Deduct 497 from 534 and we're left 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.

Let's proceed to step 7:
When dividing 370 by 71, we get 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 7997.5
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.

Going ahead to step 8:
The number 71 fits into 150 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 7997.52
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.

Let's proceed to step 9:
If we divide 80 by 71, we get 1 and a remainder of 9.
The next digit of our result is 1. 
Result so far: 7997.521
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.

Moving on to step 10:
When dividing 90 by 71, we get 1 with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 7997.5211
The remainder is 19 after subtracting 71 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Our division results in 7997.5211 with a remaining 0.00019.