Let's divide 575786 by 71
We're looking to find how many times 71 goes into 575786.

Step 1:
If we divide 5 by 71, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 71

On to step 2:
If we divide 57 by 71, we get 0 and a remainder of 57.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 57 to get 57.
Bring next digit (5) of the dividend behind the 57 and repeat the process: 575 / 71

Step 3:
575 divided by 71 is 8 with a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 568 from 575 and we're left with 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 71

Step 4:
77 divided by 71 is 1 with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 81.0
Subtracting 71 from 77 leaves us with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 71

On to step 5:
68 divided by 71 is 0 with a remainder of 68.
The number 0 becomes the next digit in our result. 
Result so far: 810.0
If we subtract 0 from 68, we get 68.
Take the next digit (6) from the dividend and append it to 68, then repeat: 686 / 71

Moving on to step 6:
71 can be fit into 686 9 times, resulting in a remainder of 47.
Record the quotient 9 as the next digit in the result. 
Result so far: 8109.0
Deduct 639 from 686 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 7:
71 goes into 470 6 times with a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 8109.6
The remainder is 44 after subtracting 426 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 8:
The number 71 fits into 440 6 times, leaving a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 8109.66
Subtract 426 from 440 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final outcome is 8109.66, with a leftover of 0.014.