We divide 421553 by 96
Let's see how many times 96 fits into 421553.

Moving on to step 1:
96 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 96

On to step 2:
42 divided by 96 is 0 with a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Take the next digit (1) from the dividend and append it to 42, then repeat: 421 / 96

Let's proceed to step 3:
When dividing 421 by 96, we get 4 with a remainder of 37.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 37 after subtracting 384 from 421.
Append the next digit (5) from the dividend to 37 and continue with: 375 / 96

Advancing to step 4:
96 can be fit into 375 3 times, resulting in a remainder of 87.
Record the quotient 3 as the next digit in the result. 
Result so far: 43.0
If we subtract 288 from 375, we get 87.
Append the next digit (5) from the dividend to 87 and continue with: 875 / 96

Advancing to step 5:
When dividing 875 by 96, we get 9 with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 439.0
If we subtract 864 from 875, we get 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 96

Going ahead to step 6:
96 can be fit into 113 1 times, resulting in a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 4391.0
Subtract 96 from 113 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 7:
The number 96 fits into 170 1 times, leaving a remainder of 74.
Write down 1 as next digit of the result. 
Result so far: 4391.1
If we subtract 96 from 170, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Going ahead to step 8:
If we divide 740 by 96, we get 7 and a remainder of 68.
The number 7 becomes the next digit in our result. 
Result so far: 4391.17
Subtracting 672 from 740 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 9:
680 divided by 96 is 7 with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 4391.177
Subtracting 672 from 680 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final outcome is 4391.177, with a leftover of 0.0008.