127522 divided by 41 
Our goal is to divide 127522 by 41.

Moving on to step 1:
The number 41 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
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

Moving on to step 2:
12 divided by 41 is 0 with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Grab the next digit (7) from the dividend, add it to 12, then carry on: 127 / 41

Moving on to step 3:
41 goes into 127 3 times with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 4 after subtracting 123 from 127.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 41

On to step 4:
41 can be fit into 45 1 times, resulting in a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 31.0
The remainder is 4 after subtracting 41 from 45.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 41

Moving on to step 5:
41 goes into 42 1 times with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 311.0
If we subtract 41 from 42, we get 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 41

Moving on to step 6:
If we divide 12 by 41, we get 0 and a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 3110.0
Deduct 0 from 12 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
41 can be fit into 120 2 times, resulting in a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 3110.2
Deduct 82 from 120 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 8:
The number 41 fits into 380 9 times, leaving a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 3110.29
Subtract 369 from 380 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 9:
41 can be fit into 110 2 times, resulting in a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 3110.292
The remainder is 28 after subtracting 82 from 110.
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 10:
If we divide 280 by 41, we get 6 and a remainder of 34.
The number 6 becomes the next digit in our result. 
Result so far: 3110.2926
If we take 246 away from 280, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 11:
41 can be fit into 340 8 times, resulting in a remainder of 12.
The next digit of our result is 8. 
Result so far: 3110.29268
If we subtract 328 from 340, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 12:
The number 41 fits into 120 2 times, leaving a remainder of 38.
The next digit of our result is 2. 
Result so far: 3110.292682
If we subtract 82 from 120, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 13:
41 can be fit into 380 9 times, resulting in a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 3110.2926829
The remainder is 11 after subtracting 369 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 14:
110 divided by 41 is 2 with a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 3110.29268292
Subtracting 82 from 110 leaves us 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.

The final outcome is 3110.29268292, with a leftover of 2.8e-08.