We look at the division of 396588 by 96 
We want to divide 396588 by 96.

Step 1:
96 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 96

Advancing to step 2:
39 divided by 96 is 0 with a remainder of 39.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 39, we get 39.
Include the next digit (6) from the dividend after 39, then repeat: 396 / 96

Let's proceed to step 3:
396 divided by 96 is 4 with a remainder of 12.
The next digit of our result is 4. 
Result so far: 4.0
If we take 384 away from 396, we end up with 12.
Append the next digit (5) from the dividend to 12 and continue with: 125 / 96

Advancing to step 4:
125 divided by 96 is 1 with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 41.0
Subtract 96 from 125 to get 29.
Fetch the next digit (8) from the dividend, attach it to 29 and continue: 298 / 96

On to step 5:
The number 96 fits into 298 3 times, leaving a remainder of 10.
The next digit of our result is 3. 
Result so far: 413.0
The remainder is 10 after subtracting 288 from 298.
Grab the next digit (8) from the dividend, add it to 10, then carry on: 108 / 96

Moving on to step 6:
96 can be fit into 108 1 times, resulting in a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 4131.0
If we take 96 away from 108, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
120 divided by 96 is 1 with a remainder of 24.
Write down 1 as next digit of the result. 
Result so far: 4131.1
Subtract 96 from 120 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 8:
If we divide 240 by 96, we get 2 and a remainder of 48.
Put 2 as the next digit of the answer. 
Result so far: 4131.12
The remainder is 48 after subtracting 192 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 9:
When dividing 480 by 96, we get 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 4131.125
The remainder is 0 after subtracting 480 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
When dividing 0 by 96, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 4131.125
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 11:
When dividing 0 by 96, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 4131.125
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 4131.125 and a remainder of 0.0.