We're dividing 13271 by 65 
We want to divide 13271 by 65.

Going ahead to step 1:
If we divide 1 by 65, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 65

Let's proceed to step 2:
When dividing 13 by 65, we get 0 with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Append the next digit (2) from the dividend to 13 and continue with: 132 / 65

Let's proceed to step 3:
The number 65 fits into 132 2 times, leaving a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 130 from 132, we get 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 65

Moving on to step 4:
If we divide 27 by 65, we get 0 and a remainder of 27.
Write down 0 as next digit of the result. 
Result so far: 20.0
Subtract 0 from 27 to get 27.
Grab the next digit (1) from the dividend, add it to 27, then carry on: 271 / 65

Let's proceed to step 5:
271 divided by 65 is 4 with a remainder of 11.
Record the quotient 4 as the next digit in the result. 
Result so far: 204.0
Subtract 260 from 271 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.

Going ahead to step 6:
65 goes into 110 1 times with a remainder of 45.
The number 1 becomes the next digit in our result. 
Result so far: 204.1
Subtract 65 from 110 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 7:
If we divide 450 by 65, we get 6 and a remainder of 60.
The next digit of our result is 6. 
Result so far: 204.16
Subtracting 390 from 450 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 8:
The number 65 fits into 600 9 times, leaving a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 204.169
Subtract 585 from 600 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 9:
When dividing 150 by 65, we get 2 with a remainder of 20.
The next digit of our result is 2. 
Result so far: 204.1692
If we subtract 130 from 150, we get 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 10:
When dividing 200 by 65, we get 3 with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 204.16923
Subtract 195 from 200 to 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.

Let's proceed to step 11:
65 goes into 50 0 times with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 204.16923
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 12:
If we divide 500 by 65, we get 7 and a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 204.1692307
The remainder is 45 after subtracting 455 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 13:
When dividing 450 by 65, we get 6 with a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 204.16923076
Subtracting 390 from 450 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The final result is 204.16923076 with a remainder of 6e-08.