We're dividing 812579 by 71 
We want to figure out the number of times 812579 can be divided by 71.

Advancing to step 1:
8 divided by 71 is 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 71

Moving on to step 2:
The number 71 fits into 81 1 times, leaving a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 71 from 81 leaves us with 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 71

Advancing to step 3:
102 divided by 71 is 1 with a remainder of 31.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we take 71 away from 102, we end up with 31.
Append the next digit (5) from the dividend to 31 and continue with: 315 / 71

Going ahead to step 4:
If we divide 315 by 71, we get 4 and a remainder of 31.
Write down 4 as next digit of the result. 
Result so far: 114.0
Subtracting 284 from 315 leaves us with 31.
Take the next digit (7) from the dividend and append it to 31, then repeat: 317 / 71

Let's proceed to step 5:
When dividing 317 by 71, we get 4 with a remainder of 33.
The number 4 becomes the next digit in our result. 
Result so far: 1144.0
Subtracting 284 from 317 leaves us with 33.
Grab the next digit (9) from the dividend, add it to 33, then carry on: 339 / 71

Going ahead to step 6:
If we divide 339 by 71, we get 4 and a remainder of 55.
The number 4 becomes the next digit in our result. 
Result so far: 11444.0
Subtracting 284 from 339 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 7:
550 divided by 71 is 7 with a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 11444.7
The remainder is 53 after subtracting 497 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 8:
71 goes into 530 7 times with a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 11444.77
Subtract 497 from 530 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

In conclusion, the division gives 11444.77 with a balance of 0.033.