We're dividing 13191 by 2 
We're looking to find how many times 2 goes into 13191.

Advancing to step 1:
2 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 2

Let's proceed to step 2:
If we divide 13 by 2, we get 6 and a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 12 from 13 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 2

Going ahead to step 3:
11 divided by 2 is 5 with a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 65.0
If we subtract 10 from 11, we get 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 2

Going ahead to step 4:
If we divide 19 by 2, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 659.0
If we take 18 away from 19, we end up with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 2

Step 5:
If we divide 11 by 2, we get 5 and a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 6595.0
Subtracting 10 from 11 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 6:
If we divide 10 by 2, we get 5 and a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 6595.5
The remainder is 0 after subtracting 10 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
2 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 6595.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
2 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 6595.5
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 6595.5 and a remainder of 0.0.