We're dividing 560597 by 15 
Our goal is to divide 560597 by 15.

Step 1:
15 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 15

Step 2:
15 goes into 56 3 times with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 11 after subtracting 45 from 56.
Append the next digit (0) from the dividend to 11 and continue with: 110 / 15

Advancing to step 3:
The number 15 fits into 110 7 times, leaving a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 37.0
Subtracting 105 from 110 leaves us with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 15

Step 4:
When dividing 55 by 15, we get 3 with a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 373.0
Deduct 45 from 55 and we're left with 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 15

Moving on to step 5:
The number 15 fits into 109 7 times, leaving a remainder of 4.
The next digit of our result is 7. 
Result so far: 3737.0
Deduct 105 from 109 and we're left with 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 15

Moving on to step 6:
47 divided by 15 is 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 37373.0
If we subtract 45 from 47, we get 2.
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:
20 divided by 15 is 1 with a remainder of 5.
The next digit of our result is 1. 
Result so far: 37373.1
Subtract 15 from 20 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.

Step 8:
50 divided by 15 is 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 37373.13
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.

Advancing to step 9:
The number 15 fits into 50 3 times, leaving a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 37373.133
Subtracting 45 from 50 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.

After the division, we end up with 37373.133 and a remainder of 0.0005.