We're dividing 228188 by 15 
We want to figure out the number of times 228188 can be divided by 15.

Moving on to step 1:
The number 15 fits into 2 0 times, leaving a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 15

Step 2:
When dividing 22 by 15, we get 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 15 from 22 and we're left with 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 15

Let's proceed to step 3:
When dividing 78 by 15, we get 5 with a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we subtract 75 from 78, we get 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 15

Going ahead to step 4:
If we divide 31 by 15, we get 2 and a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 152.0
Deduct 30 from 31 and we're left with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 15

Moving on to step 5:
When dividing 18 by 15, we get 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1521.0
If we subtract 15 from 18, we get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 15

Advancing to step 6:
When dividing 38 by 15, we get 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 15212.0
The remainder is 8 after subtracting 30 from 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
The number 15 fits into 80 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 15212.5
The remainder is 5 after subtracting 75 from 80.
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 8:
50 divided by 15 is 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 15212.53
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
15 can be fit into 50 3 times, resulting in a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 15212.533
If we subtract 45 from 50, we 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.

In conclusion, the division gives 15212.533 with a balance of 0.0005.