We look at the division of 421236 by 96 
Let's see how many times 96 fits into 421236.

Going ahead to step 1:
96 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 96

On to step 2:
The number 96 fits into 42 0 times, leaving a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 42, we end up with 42.
Include the next digit (1) from the dividend after 42, then repeat: 421 / 96

Advancing to step 3:
If we divide 421 by 96, we get 4 and a remainder of 37.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 37 after subtracting 384 from 421.
Bring next digit (2) of the dividend behind the 37 and repeat the process: 372 / 96

Step 4:
When dividing 372 by 96, we get 3 with a remainder of 84.
The number 3 becomes the next digit in our result. 
Result so far: 43.0
If we take 288 away from 372, we end up with 84.
Append the next digit (3) from the dividend to 84 and continue with: 843 / 96

On to step 5:
The number 96 fits into 843 8 times, leaving a remainder of 75.
The next digit of our result is 8. 
Result so far: 438.0
If we take 768 away from 843, we end up with 75.
Fetch the next digit (6) from the dividend, attach it to 75 and continue: 756 / 96

Advancing to step 6:
When dividing 756 by 96, we get 7 with a remainder of 84.
Put 7 as the next digit of the answer. 
Result so far: 4387.0
Subtracting 672 from 756 leaves us with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Advancing to step 7:
When dividing 840 by 96, we get 8 with a remainder of 72.
Record the quotient 8 as the next digit in the result. 
Result so far: 4387.8
If we subtract 768 from 840, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 8:
When dividing 720 by 96, we get 7 with a remainder of 48.
The next digit of our result is 7. 
Result so far: 4387.87
If we subtract 672 from 720, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 9:
If we divide 480 by 96, we get 5 and a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 4387.875
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.

On to step 10:
96 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 4387.875
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 11:
If we divide 0 by 96, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 4387.875
Deduct 0 from 0 and we're left 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.

The final outcome is 4387.875, with a leftover of 0.0.