127027 ÷ 71 
We want to figure out the number of times 127027 can be divided by 71.

Moving on to step 1:
When dividing 1 by 71, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 71

Let's proceed to step 2:
If we divide 12 by 71, we get 0 and a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Grab the next digit (7) from the dividend, add it to 12, then carry on: 127 / 71

Moving on to step 3:
127 divided by 71 is 1 with a remainder of 56.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 71 away from 127, we end up with 56.
Bring next digit (0) of the dividend behind the 56 and repeat the process: 560 / 71

Step 4:
The number 71 fits into 560 7 times, leaving a remainder of 63.
Use 7 as the next digit of our solution. 
Result so far: 17.0
If we subtract 497 from 560, we get 63.
Append the next digit (2) from the dividend to 63 and continue with: 632 / 71

On to step 5:
632 divided by 71 is 8 with a remainder of 64.
Write down 8 as next digit of the result. 
Result so far: 178.0
Deduct 568 from 632 and we're left with 64.
Append the next digit (7) from the dividend to 64 and continue with: 647 / 71

Going ahead to step 6:
71 goes into 647 9 times with a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 1789.0
Subtracting 639 from 647 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 7:
When dividing 80 by 71, we get 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 1789.1
If we subtract 71 from 80, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 8:
90 divided by 71 is 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 1789.11
If we subtract 71 from 90, we get 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 1789.11, and the remainder is 0.019.