We divide 597346 by 15
We want to divide 597346 by 15.

Step 1:
5 divided by 15 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 15

Step 2:
15 can be fit into 59 3 times, resulting in a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 45 from 59 leaves us with 14.
Take the next digit (7) from the dividend and append it to 14, then repeat: 147 / 15

Advancing to step 3:
147 divided by 15 is 9 with a remainder of 12.
Write down 9 as next digit of the result. 
Result so far: 39.0
Deduct 135 from 147 and we're left with 12.
Bring next digit (3) of the dividend behind the 12 and repeat the process: 123 / 15

Let's proceed to step 4:
123 divided by 15 is 8 with a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 398.0
If we subtract 120 from 123, we get 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 15

Advancing to step 5:
15 goes into 34 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 3982.0
If we subtract 30 from 34, we get 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 15

Moving on to step 6:
The number 15 fits into 46 3 times, leaving a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 39823.0
Deduct 45 from 46 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
The number 15 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 39823.0
Deduct 0 from 10 and we're left 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:
If we divide 100 by 15, we get 6 and a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 39823.06
The remainder is 10 after subtracting 90 from 100.
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:
The number 15 fits into 100 6 times, leaving a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 39823.066
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 39823.066 with a remaining 0.001.