We divide 8188 by 2
We want to figure out the number of times 8188 can be divided by 2.

Going ahead to step 1:
If we divide 8 by 2, we get 4 and a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 8 from 8 and we're left with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 2

Advancing to step 2:
The number 2 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 40.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 2

On to step 3:
The number 2 fits into 18 9 times, leaving a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 409.0
Subtracting 18 from 18 leaves us with 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 2

Let's proceed to step 4:
The number 2 fits into 8 4 times, leaving a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 4094.0
Subtracting 8 from 8 leaves us 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.

Advancing to step 5:
2 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 4094.0
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.

On to step 6:
0 divided by 2 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 4094.0
If we take 0 away from 0, we end up 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 4094.0 and a remainder of 0.0.