603536 ÷ 15 
We're looking to find how many times 15 goes into 603536.

On to step 1:
If we divide 6 by 15, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 15

Let's proceed to step 2:
If we divide 60 by 15, we get 4 and a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 60 away from 60, we end up with 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 15

Advancing to step 3:
When dividing 3 by 15, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 40.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 15

On to step 4:
The number 15 fits into 35 2 times, leaving a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 402.0
Subtract 30 from 35 to get 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 15

Going ahead to step 5:
15 goes into 53 3 times with a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 4023.0
Deduct 45 from 53 and we're left with 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 15

Advancing to step 6:
If we divide 86 by 15, we get 5 and a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 40235.0
Subtracting 75 from 86 leaves us 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.

Step 7:
The number 15 fits into 110 7 times, leaving a remainder of 5.
The next digit of our result is 7. 
Result so far: 40235.7
Deduct 105 from 110 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 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: 40235.73
If we subtract 45 from 50, we 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.

Moving on to step 9:
If we divide 50 by 15, we get 3 and a remainder of 5.
The next digit of our result is 3. 
Result so far: 40235.733
If we take 45 away from 50, we end up 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 final outcome is 40235.733, with a leftover of 0.0005.