We look at the division of 575648 by 71 
We want to divide 575648 by 71.

Step 1:
The number 71 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 71

Step 2:
When dividing 57 by 71, we get 0 with a remainder of 57.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 57, we end up with 57.
Fetch the next digit (5) from the dividend, attach it to 57 and continue: 575 / 71

Moving on to step 3:
575 divided by 71 is 8 with a remainder of 7.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we subtract 568 from 575, we get 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 71

Step 4:
The number 71 fits into 76 1 times, leaving a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 81.0
Deduct 71 from 76 and we're left with 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 71

Advancing to step 5:
If we divide 54 by 71, we get 0 and a remainder of 54.
The number 0 becomes the next digit in our result. 
Result so far: 810.0
If we subtract 0 from 54, we get 54.
Append the next digit (8) from the dividend to 54 and continue with: 548 / 71

Moving on to step 6:
71 can be fit into 548 7 times, resulting in a remainder of 51.
Record the quotient 7 as the next digit in the result. 
Result so far: 8107.0
Subtracting 497 from 548 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 7:
The number 71 fits into 510 7 times, leaving a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 8107.7
If we subtract 497 from 510, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 8:
If we divide 130 by 71, we get 1 and a remainder of 59.
Put 1 as the next digit of the answer. 
Result so far: 8107.71
The remainder is 59 after subtracting 71 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 9:
71 goes into 590 8 times with a remainder of 22.
The next digit of our result is 8. 
Result so far: 8107.718
Deduct 568 from 590 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 10:
If we divide 220 by 71, we get 3 and a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 8107.7183
If we subtract 213 from 220, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 11:
70 divided by 71 is 0 with a remainder of 70.
The next digit of our result is 0. 
Result so far: 8107.7183
The remainder is 70 after subtracting 0 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 12:
The number 71 fits into 700 9 times, leaving a remainder of 61.
Put 9 as the next digit of the answer. 
Result so far: 8107.718309
If we take 639 away from 700, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 13:
When dividing 610 by 71, we get 8 with a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 8107.7183098
If we subtract 568 from 610, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 14:
If we divide 420 by 71, we get 5 and a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 8107.71830985
The remainder is 65 after subtracting 355 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

After the division, we end up with 8107.71830985 and a remainder of 6.5e-08.