We're dividing 271642 by 11 
We want to figure out the number of times 271642 can be divided by 11.

Let's proceed to step 1:
2 divided by 11 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 11

On to step 2:
11 can be fit into 27 2 times, resulting in a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 22 away from 27, we end up with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 11

Moving on to step 3:
When dividing 51 by 11, we get 4 with a remainder of 7.
Use 4 as the next digit of our solution. 
Result so far: 24.0
Subtract 44 from 51 to get 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 11

Step 4:
The number 11 fits into 76 6 times, leaving a remainder of 10.
The next digit of our result is 6. 
Result so far: 246.0
The remainder is 10 after subtracting 66 from 76.
Fetch the next digit (4) from the dividend, attach it to 10 and continue: 104 / 11

Advancing to step 5:
11 can be fit into 104 9 times, resulting in a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 2469.0
If we take 99 away from 104, we end up with 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 11

Moving on to step 6:
When dividing 52 by 11, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 24694.0
Subtracting 44 from 52 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 7:
80 divided by 11 is 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 24694.7
If we take 77 away from 80, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 8:
11 goes into 30 2 times with a remainder of 8.
The next digit of our result is 2. 
Result so far: 24694.72
Subtract 22 from 30 to 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 9:
The number 11 fits into 80 7 times, leaving a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 24694.727
Subtracting 77 from 80 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 10:
The number 11 fits into 30 2 times, leaving a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 24694.7272
If we subtract 22 from 30, 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.

Going ahead to step 11:
When dividing 80 by 11, we get 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 24694.72727
If we subtract 77 from 80, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 12:
If we divide 30 by 11, we get 2 and a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 24694.727272
Subtracting 22 from 30 leaves us with 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 13:
11 can be fit into 80 7 times, resulting in a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 24694.7272727
If we take 77 away from 80, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 14:
The number 11 fits into 30 2 times, leaving a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 24694.72727272
Subtracting 22 from 30 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 24694.72727272 with a remaining 8e-09.