We look at the division of 11131 by 15 
We want to figure out the number of times 11131 can be divided by 15.

Step 1:
If we divide 1 by 15, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 15

Let's proceed to step 2:
If we divide 11 by 15, we get 0 and a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 15

Step 3:
The number 15 fits into 111 7 times, leaving a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 105 from 111, we get 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 15

Moving on to step 4:
If we divide 63 by 15, we get 4 and a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 74.0
Subtracting 60 from 63 leaves us with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 15

On to step 5:
When dividing 31 by 15, we get 2 with a remainder of 1.
The next digit of our result is 2. 
Result so far: 742.0
If we subtract 30 from 31, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 6:
The number 15 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 742.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
15 goes into 100 6 times with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 742.06
Subtracting 90 from 100 leaves us 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.

Advancing to step 8:
15 can be fit into 100 6 times, resulting in a remainder of 10.
The next digit of our result is 6. 
Result so far: 742.066
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 742.066 with a remainder of 0.001.