We're dividing 90127 by 71 
We're looking to find how many times 71 goes into 90127.

Let's proceed to step 1:
71 goes into 9 0 times with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Take the next digit (0) from the dividend and append it to 9, then repeat: 90 / 71

Step 2:
When dividing 90 by 71, we get 1 with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 71 from 90 to get 19.
Bring next digit (1) of the dividend behind the 19 and repeat the process: 191 / 71

Going ahead to step 3:
When dividing 191 by 71, we get 2 with a remainder of 49.
The next digit of our result is 2. 
Result so far: 12.0
Subtracting 142 from 191 leaves us with 49.
Bring next digit (2) of the dividend behind the 49 and repeat the process: 492 / 71

Moving on to step 4:
71 goes into 492 6 times with a remainder of 66.
The next digit of our result is 6. 
Result so far: 126.0
The remainder is 66 after subtracting 426 from 492.
Fetch the next digit (7) from the dividend, attach it to 66 and continue: 667 / 71

Let's proceed to step 5:
The number 71 fits into 667 9 times, leaving a remainder of 28.
Put 9 as the next digit of the answer. 
Result so far: 1269.0
If we take 639 away from 667, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 6:
280 divided by 71 is 3 with a remainder of 67.
Use 3 as the next digit of our solution. 
Result so far: 1269.3
The remainder is 67 after subtracting 213 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Let's proceed to step 7:
The number 71 fits into 670 9 times, leaving a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 1269.39
Subtracting 639 from 670 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 8:
The number 71 fits into 310 4 times, leaving a remainder of 26.
The next digit of our result is 4. 
Result so far: 1269.394
The remainder is 26 after subtracting 284 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 9:
When dividing 260 by 71, we get 3 with a remainder of 47.
The number 3 becomes the next digit in our result. 
Result so far: 1269.3943
If we subtract 213 from 260, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 10:
71 can be fit into 470 6 times, resulting in a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 1269.39436
Subtracting 426 from 470 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 11:
If we divide 440 by 71, we get 6 and a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 1269.394366
If we subtract 426 from 440, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

In conclusion, the division gives 1269.394366 with a balance of 1.4e-06.