We look at the division of 603517 by 15 
We want to divide 603517 by 15.

Advancing to step 1:
If we divide 6 by 15, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (0) from the dividend after 6, then repeat: 60 / 15

Advancing to step 2:
15 goes into 60 4 times with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 60 from 60 to get 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 15

Advancing to step 3:
When dividing 3 by 15, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 40.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 15

On to step 4:
15 can be fit into 35 2 times, resulting in a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 402.0
Subtracting 30 from 35 leaves us with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 15

On to step 5:
When dividing 51 by 15, we get 3 with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 4023.0
Subtracting 45 from 51 leaves us with 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 15

Advancing to step 6:
15 can be fit into 67 4 times, resulting in a remainder of 7.
Put 4 as the next digit of the answer. 
Result so far: 40234.0
The remainder is 7 after subtracting 60 from 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
15 goes into 70 4 times with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 40234.4
If we take 60 away from 70, 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.

Let's proceed to step 8:
When dividing 100 by 15, we get 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 40234.46
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.

Going ahead to step 9:
The number 15 fits into 100 6 times, leaving a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 40234.466
If we subtract 90 from 100, 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.

The final outcome is 40234.466, with a leftover of 0.001.