We look at the division of 132604 by 15 
Let's see how many times 15 fits into 132604.

Advancing to step 1:
When dividing 1 by 15, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 15

Step 2:
When dividing 13 by 15, we get 0 with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Include the next digit (2) from the dividend after 13, then repeat: 132 / 15

Let's proceed to step 3:
If we divide 132 by 15, we get 8 and a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we subtract 120 from 132, we get 12.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 15

Step 4:
15 goes into 126 8 times with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 88.0
If we take 120 away from 126, we end up with 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 15

Moving on to step 5:
60 divided by 15 is 4 with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 884.0
Subtract 60 from 60 to get 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 15

Step 6:
The number 15 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 8840.0
If we take 0 away from 4, we end up 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.

Step 7:
The number 15 fits into 40 2 times, leaving a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 8840.2
Deduct 30 from 40 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 8840.26
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
If we divide 100 by 15, we get 6 and a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 8840.266
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 8840.266 with a remainder of 0.001.