We look at the division of 15517 by 12 
We're looking to find how many times 12 goes into 15517.

On to step 1:
12 goes into 1 0 times 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 (5) from the dividend after 1, then repeat: 15 / 12

Going ahead to step 2:
When dividing 15 by 12, we get 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 12 from 15 leaves us with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 12

Let's proceed to step 3:
35 divided by 12 is 2 with a remainder of 11.
Write down 2 as next digit of the result. 
Result so far: 12.0
The remainder is 11 after subtracting 24 from 35.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 12

On to step 4:
12 goes into 111 9 times with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 129.0
Subtract 108 from 111 to get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 12

Going ahead to step 5:
37 divided by 12 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 1293.0
If we take 36 away from 37, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 6:
When dividing 10 by 12, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 1293.0
If we take 0 away from 10, 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.

On to step 7:
The number 12 fits into 100 8 times, leaving a remainder of 4.
The next digit of our result is 8. 
Result so far: 1293.08
Subtracting 96 from 100 leaves us 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.

Going ahead to step 8:
40 divided by 12 is 3 with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 1293.083
If we take 36 away from 40, 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.

Moving on to step 9:
If we divide 40 by 12, we get 3 and a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 1293.0833
If we take 36 away from 40, 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.

The quotient of the division is 1293.0833, and the remainder is 4e-05.