We look at the division of 415597 by 39 
We want to divide 415597 by 39.

Advancing to step 1:
When dividing 4 by 39, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 39

Step 2:
39 can be fit into 41 1 times, resulting in a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 39 from 41 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 39

On to step 3:
If we divide 25 by 39, we get 0 and a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtracting 0 from 25 leaves us with 25.
Take the next digit (5) from the dividend and append it to 25, then repeat: 255 / 39

On to step 4:
The number 39 fits into 255 6 times, leaving a remainder of 21.
The number 6 becomes the next digit in our result. 
Result so far: 106.0
The remainder is 21 after subtracting 234 from 255.
Take the next digit (9) from the dividend and append it to 21, then repeat: 219 / 39

Moving on to step 5:
The number 39 fits into 219 5 times, leaving a remainder of 24.
Put 5 as the next digit of the answer. 
Result so far: 1065.0
Subtract 195 from 219 to get 24.
Append the next digit (7) from the dividend to 24 and continue with: 247 / 39

Moving on to step 6:
If we divide 247 by 39, we get 6 and a remainder of 13.
The next digit of our result is 6. 
Result so far: 10656.0
The remainder is 13 after subtracting 234 from 247.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
When dividing 130 by 39, we get 3 with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 10656.3
Subtracting 117 from 130 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 8:
39 goes into 130 3 times with a remainder of 13.
The next digit of our result is 3. 
Result so far: 10656.33
If we take 117 away from 130, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final result is 10656.33 with a remainder of 0.013.