We're dividing 127311 by 41 
We're looking to find how many times 41 goes into 127311.

Going ahead to step 1:
41 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 41

Step 2:
If we divide 12 by 41, we get 0 and a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Grab the next digit (7) from the dividend, add it to 12, then carry on: 127 / 41

Going ahead to step 3:
127 divided by 41 is 3 with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 123 from 127, we get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 41

Going ahead to step 4:
The number 41 fits into 43 1 times, leaving a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
If we subtract 41 from 43, we get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 41

Step 5:
41 can be fit into 21 0 times, resulting in a remainder of 21.
The next digit of our result is 0. 
Result so far: 310.0
If we subtract 0 from 21, we get 21.
Append the next digit (1) from the dividend to 21 and continue with: 211 / 41

Let's proceed to step 6:
The number 41 fits into 211 5 times, leaving a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 3105.0
Subtracting 205 from 211 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
41 can be fit into 60 1 times, resulting in a remainder of 19.
The next digit of our result is 1. 
Result so far: 3105.1
Subtract 41 from 60 to 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.

On to step 8:
The number 41 fits into 190 4 times, leaving a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 3105.14
Deduct 164 from 190 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 9:
41 can be fit into 260 6 times, resulting in a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 3105.146
Subtract 246 from 260 to 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.

Advancing to step 10:
When dividing 140 by 41, we get 3 with a remainder of 17.
The next digit of our result is 3. 
Result so far: 3105.1463
If we take 123 away from 140, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 11:
41 goes into 170 4 times with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 3105.14634
If we subtract 164 from 170, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 12:
When dividing 60 by 41, we get 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 3105.146341
If we take 41 away from 60, we end up 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.

Moving on to step 13:
190 divided by 41 is 4 with a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 3105.1463414
The remainder is 26 after subtracting 164 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 14:
The number 41 fits into 260 6 times, leaving a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 3105.14634146
The remainder is 14 after subtracting 246 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final outcome is 3105.14634146, with a leftover of 1.4e-08.