8188 ÷ 44 
Our goal is to divide 8188 by 44.

Moving on to step 1:
8 divided by 44 is 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 44

Going ahead to step 2:
When dividing 81 by 44, we get 1 with a remainder of 37.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 44 from 81, we get 37.
Take the next digit (8) from the dividend and append it to 37, then repeat: 378 / 44

Let's proceed to step 3:
378 divided by 44 is 8 with a remainder of 26.
Put 8 as the next digit of the answer. 
Result so far: 18.0
If we take 352 away from 378, we end up with 26.
Fetch the next digit (8) from the dividend, attach it to 26 and continue: 268 / 44

Step 4:
If we divide 268 by 44, we get 6 and a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 186.0
If we subtract 264 from 268, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 5:
40 divided by 44 is 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 186.0
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 6:
44 goes into 400 9 times with a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 186.09
If we subtract 396 from 400, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
40 divided by 44 is 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 186.09
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
The number 44 fits into 400 9 times, leaving a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 186.0909
The remainder is 4 after subtracting 396 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
40 divided by 44 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 186.0909
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 10:
400 divided by 44 is 9 with a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 186.090909
If we subtract 396 from 400, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 11:
The number 44 fits into 40 0 times, leaving a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 186.090909
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 12:
44 goes into 400 9 times with a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 186.09090909
Subtracting 396 from 400 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final outcome is 186.09090909, with a leftover of 4e-09.