271557 ÷ 41 
We're looking to find how many times 41 goes into 271557.

Let's proceed to step 1:
41 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 41

Let's proceed to step 2:
The number 41 fits into 27 0 times, leaving a remainder of 27.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 27 after subtracting 0 from 27.
Take the next digit (1) from the dividend and append it to 27, then repeat: 271 / 41

Moving on to step 3:
The number 41 fits into 271 6 times, leaving a remainder of 25.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 25 after subtracting 246 from 271.
Bring next digit (5) of the dividend behind the 25 and repeat the process: 255 / 41

On to step 4:
41 goes into 255 6 times with a remainder of 9.
Write down 6 as next digit of the result. 
Result so far: 66.0
Subtracting 246 from 255 leaves us with 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 41

Going ahead to step 5:
If we divide 95 by 41, we get 2 and a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 662.0
Subtract 82 from 95 to get 13.
Bring next digit (7) of the dividend behind the 13 and repeat the process: 137 / 41

On to step 6:
The number 41 fits into 137 3 times, leaving a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 6623.0
Subtract 123 from 137 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.

Step 7:
41 goes into 140 3 times with a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 6623.3
Deduct 123 from 140 and we're left 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.

Moving on to step 8:
When dividing 170 by 41, we get 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 6623.34
Subtracting 164 from 170 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 9:
41 can be fit into 60 1 times, resulting in a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 6623.341
If we subtract 41 from 60, 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.

Let's proceed to step 10:
41 can be fit into 190 4 times, resulting in a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 6623.3414
If we subtract 164 from 190, we get 26.
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 11:
If we divide 260 by 41, we get 6 and a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 6623.34146
If we subtract 246 from 260, 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.

Going ahead to step 12:
41 goes into 140 3 times with a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 6623.341463
The remainder is 17 after subtracting 123 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 13:
If we divide 170 by 41, we get 4 and a remainder of 6.
The next digit of our result is 4. 
Result so far: 6623.3414634
The remainder is 6 after subtracting 164 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 14:
If we divide 60 by 41, we get 1 and a remainder of 19.
The next digit of our result is 1. 
Result so far: 6623.34146341
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.

Our division results in 6623.34146341 with a remaining 1.9e-08.