We look at the division of 558724 by 71 
Let's see how many times 71 fits into 558724.

Advancing to step 1:
The number 71 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 71

Step 2:
71 can be fit into 55 0 times, resulting in a remainder of 55.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Grab the next digit (8) from the dividend, add it to 55, then carry on: 558 / 71

On 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
The remainder is 61 after subtracting 497 from 558.
Grab the next digit (7) from the dividend, add it to 61, then carry on: 617 / 71

Advancing to step 4:
The number 71 fits into 617 8 times, leaving a remainder of 49.
Use 8 as the next digit of our solution. 
Result so far: 78.0
Subtracting 568 from 617 leaves us with 49.
Take the next digit (2) from the dividend and append it to 49, then repeat: 492 / 71

On to step 5:
71 goes into 492 6 times with a remainder of 66.
Use 6 as the next digit of our solution. 
Result so far: 786.0
Deduct 426 from 492 and we're left with 66.
Bring next digit (4) of the dividend behind the 66 and repeat the process: 664 / 71

Advancing to step 6:
When dividing 664 by 71, we get 9 with a remainder of 25.
Put 9 as the next digit of the answer. 
Result so far: 7869.0
The remainder is 25 after subtracting 639 from 664.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 7:
When dividing 250 by 71, we get 3 with a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 7869.3
If we take 213 away from 250, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 8:
If we divide 370 by 71, we get 5 and a remainder of 15.
The next digit of our result is 5. 
Result so far: 7869.35
The remainder is 15 after subtracting 355 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 9:
150 divided by 71 is 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 7869.352
If we subtract 142 from 150, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
If we divide 80 by 71, we get 1 and a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 7869.3521
Deduct 71 from 80 and we're left 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.

On to step 11:
90 divided by 71 is 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 7869.35211
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.

The quotient of the division is 7869.35211, and the remainder is 1.9e-05.