Let's divide 127271 by 65
We want to divide 127271 by 65.

Advancing to step 1:
When dividing 1 by 65, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 65

On to step 2:
If we divide 12 by 65, we get 0 and a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 65

On to step 3:
127 divided by 65 is 1 with a remainder of 62.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 65 from 127, we get 62.
Include the next digit (2) from the dividend after 62, then repeat: 622 / 65

Going ahead to step 4:
When dividing 622 by 65, we get 9 with a remainder of 37.
The next digit of our result is 9. 
Result so far: 19.0
If we take 585 away from 622, we end up with 37.
Bring next digit (7) of the dividend behind the 37 and repeat the process: 377 / 65

Moving on to step 5:
377 divided by 65 is 5 with a remainder of 52.
The number 5 becomes the next digit in our result. 
Result so far: 195.0
Subtracting 325 from 377 leaves us with 52.
Bring next digit (1) of the dividend behind the 52 and repeat the process: 521 / 65

Going ahead to step 6:
521 divided by 65 is 8 with a remainder of 1.
The next digit of our result is 8. 
Result so far: 1958.0
Deduct 520 from 521 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
65 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 1958.0
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
100 divided by 65 is 1 with a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 1958.01
If we take 65 away from 100, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 9:
65 goes into 350 5 times with a remainder of 25.
The next digit of our result is 5. 
Result so far: 1958.015
If we take 325 away from 350, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 10:
65 goes into 250 3 times with a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 1958.0153
Subtract 195 from 250 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.

Step 11:
65 can be fit into 550 8 times, resulting in a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 1958.01538
Deduct 520 from 550 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 12:
300 divided by 65 is 4 with a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 1958.015384
Subtract 260 from 300 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.

Step 13:
65 goes into 400 6 times with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 1958.0153846
If we subtract 390 from 400, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 14:
If we divide 100 by 65, we get 1 and a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 1958.01538461
Subtract 65 from 100 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final outcome is 1958.01538461, with a leftover of 3.5e-08.