Let's divide 126557 by 71
We want to figure out the number of times 126557 can be divided by 71.

On to step 1:
71 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 71

Advancing to step 2:
71 goes into 12 0 times with a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 71

Step 3:
When dividing 126 by 71, we get 1 with a remainder of 55.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 71 from 126, we get 55.
Include the next digit (5) from the dividend after 55, then repeat: 555 / 71

Let's proceed to step 4:
If we divide 555 by 71, we get 7 and a remainder of 58.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Deduct 497 from 555 and we're left with 58.
Bring next digit (5) of the dividend behind the 58 and repeat the process: 585 / 71

Advancing to step 5:
71 goes into 585 8 times with a remainder of 17.
Record the quotient 8 as the next digit in the result. 
Result so far: 178.0
Subtracting 568 from 585 leaves us with 17.
Fetch the next digit (7) from the dividend, attach it to 17 and continue: 177 / 71

On to step 6:
177 divided by 71 is 2 with a remainder of 35.
Record the quotient 2 as the next digit in the result. 
Result so far: 1782.0
The remainder is 35 after subtracting 142 from 177.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 7:
350 divided by 71 is 4 with a remainder of 66.
Write down 4 as next digit of the result. 
Result so far: 1782.4
If we subtract 284 from 350, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 8:
71 goes into 660 9 times with a remainder of 21.
The next digit of our result is 9. 
Result so far: 1782.49
Subtract 639 from 660 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 9:
71 goes into 210 2 times with a remainder of 68.
Use 2 as the next digit of our solution. 
Result so far: 1782.492
Deduct 142 from 210 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 10:
71 goes into 680 9 times with a remainder of 41.
Write down 9 as next digit of the result. 
Result so far: 1782.4929
If we take 639 away from 680, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 11:
71 goes into 410 5 times with a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 1782.49295
Subtract 355 from 410 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 12:
550 divided by 71 is 7 with a remainder of 53.
The next digit of our result is 7. 
Result so far: 1782.492957
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.

Step 13:
The number 71 fits into 530 7 times, leaving a remainder of 33.
The next digit of our result is 7. 
Result so far: 1782.4929577
If we take 497 away from 530, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The final outcome is 1782.4929577, with a leftover of 3.3e-07.