We're dividing 579363 by 71 
Our goal is to divide 579363 by 71.

Step 1:
The number 71 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 71

Step 2:
The number 71 fits into 57 0 times, leaving a remainder of 57.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 57 and we're left with 57.
Include the next digit (9) from the dividend after 57, then repeat: 579 / 71

Going ahead to step 3:
When dividing 579 by 71, we get 8 with a remainder of 11.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we take 568 away from 579, we end up with 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 71

Step 4:
When dividing 113 by 71, we get 1 with a remainder of 42.
The next digit of our result is 1. 
Result so far: 81.0
Deduct 71 from 113 and we're left with 42.
Fetch the next digit (6) from the dividend, attach it to 42 and continue: 426 / 71

On to step 5:
If we divide 426 by 71, we get 6 and a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 816.0
Subtracting 426 from 426 leaves us with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 71

On to step 6:
When dividing 3 by 71, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 8160.0
If we subtract 0 from 3, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
71 can be fit into 30 0 times, resulting in a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 8160.0
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 8:
When dividing 300 by 71, we get 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 8160.04
If we take 284 away from 300, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 9:
160 divided by 71 is 2 with a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 8160.042
The remainder is 18 after subtracting 142 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 10:
If we divide 180 by 71, we get 2 and a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 8160.0422
Subtract 142 from 180 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.

In conclusion, the division gives 8160.0422 with a balance of 0.00038.