We're dividing 555317 by 15 
We want to figure out the number of times 555317 can be divided by 15.

On to step 1:
15 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 15

Step 2:
15 can be fit into 55 3 times, resulting in a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 45 from 55 and we're left with 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 15

Step 3:
15 goes into 105 7 times with a remainder of 0.
The next digit of our result is 7. 
Result so far: 37.0
Subtract 105 from 105 to get 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 15

Advancing to step 4:
3 divided by 15 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 370.0
Subtract 0 from 3 to get 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 15

On to step 5:
When dividing 31 by 15, we get 2 with a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 3702.0
Deduct 30 from 31 and we're left with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 15

Let's proceed to step 6:
17 divided by 15 is 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 37021.0
The remainder is 2 after subtracting 15 from 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
If we divide 20 by 15, we get 1 and a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 37021.1
Subtracting 15 from 20 leaves us 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.

Moving on to step 8:
When dividing 50 by 15, we get 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 37021.13
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.

Moving on 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: 37021.133
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.

The final result is 37021.133 with a remainder of 0.0005.