Let's divide 137531 by 15
Let's see how many times 15 fits into 137531.

Going ahead to step 1:
15 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 15

On to step 2:
When dividing 13 by 15, we get 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Fetch the next digit (7) from the dividend, attach it to 13 and continue: 137 / 15

Step 3:
If we divide 137 by 15, we get 9 and a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtract 135 from 137 to get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 15

Let's proceed to step 4:
15 goes into 25 1 times with a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 91.0
If we subtract 15 from 25, we get 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 15

Step 5:
103 divided by 15 is 6 with a remainder of 13.
Write down 6 as next digit of the result. 
Result so far: 916.0
If we take 90 away from 103, we end up with 13.
Append the next digit (1) from the dividend to 13 and continue with: 131 / 15

On to step 6:
131 divided by 15 is 8 with a remainder of 11.
Use 8 as the next digit of our solution. 
Result so far: 9168.0
If we take 120 away from 131, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
When dividing 110 by 15, we get 7 with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 9168.7
Subtract 105 from 110 to 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.

Let's proceed to step 8:
When dividing 50 by 15, we get 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 9168.73
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.

Going ahead to step 9:
50 divided by 15 is 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 9168.733
Subtract 45 from 50 to 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.

After the division, we end up with 9168.733 and a remainder of 0.0005.