596797 divided by 15 
We're looking to find how many times 15 goes into 596797.

Going ahead to step 1:
The number 15 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 15

Moving on to step 2:
15 goes into 59 3 times with a remainder of 14.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 45 from 59, we get 14.
Append the next digit (6) from the dividend to 14 and continue with: 146 / 15

Moving on to step 3:
The number 15 fits into 146 9 times, leaving a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 39.0
Subtracting 135 from 146 leaves us with 11.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 15

Moving on to step 4:
If we divide 117 by 15, we get 7 and a remainder of 12.
The next digit of our result is 7. 
Result so far: 397.0
If we subtract 105 from 117, we get 12.
Bring next digit (9) of the dividend behind the 12 and repeat the process: 129 / 15

Step 5:
The number 15 fits into 129 8 times, leaving a remainder of 9.
Use 8 as the next digit of our solution. 
Result so far: 3978.0
If we take 120 away from 129, we end up with 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 15

Let's proceed to step 6:
15 can be fit into 97 6 times, resulting in a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 39786.0
Subtracting 90 from 97 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
The number 15 fits into 70 4 times, leaving a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 39786.4
The remainder is 10 after subtracting 60 from 70.
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:
15 can be fit into 100 6 times, resulting in a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 39786.46
Subtracting 90 from 100 leaves us 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.

Step 9:
If we divide 100 by 15, we get 6 and a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 39786.466
Subtracting 90 from 100 leaves us 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.

The final outcome is 39786.466, with a leftover of 0.001.