We're dividing 138524 by 15 
We want to figure out the number of times 138524 can be divided by 15.

Advancing to step 1:
15 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 15

Moving on to step 2:
The number 15 fits into 13 0 times, leaving a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Grab the next digit (8) from the dividend, add it to 13, then carry on: 138 / 15

Going ahead to step 3:
The number 15 fits into 138 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 9.0
The remainder is 3 after subtracting 135 from 138.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 15

Going ahead to step 4:
35 divided by 15 is 2 with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 92.0
Deduct 30 from 35 and we're left with 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 15

Let's proceed to step 5:
15 can be fit into 52 3 times, resulting in a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 923.0
Subtract 45 from 52 to get 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 15

On to step 6:
When dividing 74 by 15, we get 4 with a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 9234.0
Deduct 60 from 74 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
The number 15 fits into 140 9 times, leaving a remainder of 5.
Put 9 as the next digit of the answer. 
Result so far: 9234.9
The remainder is 5 after subtracting 135 from 140.
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 8:
15 goes into 50 3 times with a remainder of 5.
The next digit of our result is 3. 
Result so far: 9234.93
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.

Advancing 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: 9234.933
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.

The quotient of the division is 9234.933, and the remainder is 0.0005.