We look at the division of 271664 by 41 
We're looking to find how many times 41 goes into 271664.

Moving on to step 1:
2 divided by 41 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 41

Step 2:
41 goes into 27 0 times with a remainder of 27.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 27, we end up with 27.
Take the next digit (1) from the dividend and append it to 27, then repeat: 271 / 41

Let's proceed to step 3:
If we divide 271 by 41, we get 6 and a remainder of 25.
The next digit of our result is 6. 
Result so far: 6.0
If we take 246 away from 271, we end up with 25.
Fetch the next digit (6) from the dividend, attach it to 25 and continue: 256 / 41

On to step 4:
41 can be fit into 256 6 times, resulting in a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 66.0
Deduct 246 from 256 and we're left with 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 41

Let's proceed to step 5:
106 divided by 41 is 2 with a remainder of 24.
The next digit of our result is 2. 
Result so far: 662.0
Subtracting 82 from 106 leaves us with 24.
Take the next digit (4) from the dividend and append it to 24, then repeat: 244 / 41

Going ahead to step 6:
If we divide 244 by 41, we get 5 and a remainder of 39.
Record the quotient 5 as the next digit in the result. 
Result so far: 6625.0
The remainder is 39 after subtracting 205 from 244.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 7:
41 can be fit into 390 9 times, resulting in a remainder of 21.
The next digit of our result is 9. 
Result so far: 6625.9
Subtract 369 from 390 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 8:
41 can be fit into 210 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 6625.95
Deduct 205 from 210 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 9:
If we divide 50 by 41, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 6625.951
Subtract 41 from 50 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 10:
The number 41 fits into 90 2 times, leaving a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 6625.9512
If we subtract 82 from 90, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 11:
41 can be fit into 80 1 times, resulting in a remainder of 39.
The next digit of our result is 1. 
Result so far: 6625.95121
The remainder is 39 after subtracting 41 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 12:
390 divided by 41 is 9 with a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 6625.951219
Deduct 369 from 390 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 13:
41 can be fit into 210 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 6625.9512195
If we subtract 205 from 210, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 14:
41 can be fit into 50 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 6625.95121951
If we take 41 away from 50, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

After the division, we end up with 6625.95121951 and a remainder of 9e-09.