We're dividing 558211 by 71 
We want to figure out the number of times 558211 can be divided by 71.

On to step 1:
71 goes into 5 0 times with 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.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 71

Advancing to step 2:
71 goes into 55 0 times with a remainder of 55.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 55 after subtracting 0 from 55.
Bring next digit (8) of the dividend behind the 55 and repeat the process: 558 / 71

Let's proceed to step 3:
558 divided by 71 is 7 with a remainder of 61.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we subtract 497 from 558, we get 61.
Take the next digit (2) from the dividend and append it to 61, then repeat: 612 / 71

Moving on to step 4:
When dividing 612 by 71, we get 8 with a remainder of 44.
Use 8 as the next digit of our solution. 
Result so far: 78.0
Subtracting 568 from 612 leaves us with 44.
Take the next digit (1) from the dividend and append it to 44, then repeat: 441 / 71

Step 5:
When dividing 441 by 71, we get 6 with a remainder of 15.
The next digit of our result is 6. 
Result so far: 786.0
The remainder is 15 after subtracting 426 from 441.
Grab the next digit (1) from the dividend, add it to 15, then carry on: 151 / 71

Going ahead to step 6:
When dividing 151 by 71, we get 2 with a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 7862.0
Subtracting 142 from 151 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
90 divided by 71 is 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 7862.1
Subtracting 71 from 90 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 8:
71 can be fit into 190 2 times, resulting in a remainder of 48.
The number 2 becomes the next digit in our result. 
Result so far: 7862.12
Deduct 142 from 190 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 9:
480 divided by 71 is 6 with a remainder of 54.
Use 6 as the next digit of our solution. 
Result so far: 7862.126
Subtracting 426 from 480 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 10:
The number 71 fits into 540 7 times, leaving a remainder of 43.
Write down 7 as next digit of the result. 
Result so far: 7862.1267
If we subtract 497 from 540, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 11:
The number 71 fits into 430 6 times, leaving a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 7862.12676
The remainder is 4 after subtracting 426 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 12:
When dividing 40 by 71, we get 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 7862.12676
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 13:
71 can be fit into 400 5 times, resulting in a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 7862.1267605
If we subtract 355 from 400, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 14:
450 divided by 71 is 6 with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 7862.12676056
If we take 426 away from 450, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final result is 7862.12676056 with a remainder of 2.4e-08.