We're dividing 271646 by 26 
Our goal is to divide 271646 by 26.

Let's proceed to step 1:
2 divided by 26 is 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 26

Moving on to step 2:
26 can be fit into 27 1 times, resulting in a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 26 from 27 and we're left with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 26

Advancing to step 3:
If we divide 11 by 26, we get 0 and a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 11, we end up with 11.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 26

Step 4:
26 can be fit into 116 4 times, resulting in a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 104.0
Subtracting 104 from 116 leaves us with 12.
Fetch the next digit (4) from the dividend, attach it to 12 and continue: 124 / 26

Let's proceed to step 5:
The number 26 fits into 124 4 times, leaving a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 1044.0
If we take 104 away from 124, we end up with 20.
Fetch the next digit (6) from the dividend, attach it to 20 and continue: 206 / 26

Moving on to step 6:
206 divided by 26 is 7 with a remainder of 24.
Use 7 as the next digit of our solution. 
Result so far: 10447.0
If we take 182 away from 206, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 7:
When dividing 240 by 26, we get 9 with a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 10447.9
Subtract 234 from 240 to 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.

On to step 8:
The number 26 fits into 60 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 10447.92
Subtracting 52 from 60 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.

Moving on to step 9:
26 can be fit into 80 3 times, resulting in a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 10447.923
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
The number 26 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 10447.923
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 11:
If we divide 200 by 26, we get 7 and a remainder of 18.
The next digit of our result is 7. 
Result so far: 10447.92307
Subtracting 182 from 200 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 12:
180 divided by 26 is 6 with a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 10447.923076
If we subtract 156 from 180, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 13:
If we divide 240 by 26, we get 9 and a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 10447.9230769
The remainder is 6 after subtracting 234 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 14:
26 can be fit into 60 2 times, resulting in a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 10447.92307692
Deduct 52 from 60 and we're left 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.

The quotient of the division is 10447.92307692, and the remainder is 8e-09.