We're dividing 558309 by 71 
Our goal is to divide 558309 by 71.

Advancing to 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
Deduct 0 from 5 and we're left with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 71

Advancing to step 2:
The number 71 fits into 55 0 times, leaving a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Fetch the next digit (8) from the dividend, attach it to 55 and continue: 558 / 71

Let's proceed to step 3:
The number 71 fits into 558 7 times, leaving a remainder of 61.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 497 from 558 and we're left with 61.
Fetch the next digit (3) from the dividend, attach it to 61 and continue: 613 / 71

Step 4:
If we divide 613 by 71, we get 8 and a remainder of 45.
The next digit of our result is 8. 
Result so far: 78.0
If we subtract 568 from 613, we get 45.
Grab the next digit (0) from the dividend, add it to 45, then carry on: 450 / 71

Going ahead to step 5:
450 divided by 71 is 6 with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 786.0
If we subtract 426 from 450, we get 24.
Bring next digit (9) of the dividend behind the 24 and repeat the process: 249 / 71

Moving on to step 6:
71 can be fit into 249 3 times, resulting in a remainder of 36.
Write down 3 as next digit of the result. 
Result so far: 7863.0
Subtracting 213 from 249 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 7:
The number 71 fits into 360 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 7863.5
If we subtract 355 from 360, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
71 goes into 50 0 times with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 7863.5
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
71 goes into 500 7 times with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 7863.507
If we take 497 away from 500, we end up with 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 10:
If we divide 30 by 71, we get 0 and a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 7863.507
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 11:
71 goes into 300 4 times with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 7863.50704
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 12:
71 can be fit into 160 2 times, resulting in a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 7863.507042
Subtracting 142 from 160 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 13:
The number 71 fits into 180 2 times, leaving a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 7863.5070422
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.

The final outcome is 7863.5070422, with a leftover of 3.8e-07.