We're dividing 420895 by 96 
We want to divide 420895 by 96.

Advancing to step 1:
96 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 96

Moving on to step 2:
When dividing 42 by 96, we get 0 with a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Grab the next digit (0) from the dividend, add it to 42, then carry on: 420 / 96

Step 3:
96 goes into 420 4 times with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 384 from 420 and we're left with 36.
Include the next digit (8) from the dividend after 36, then repeat: 368 / 96

Moving on to step 4:
When dividing 368 by 96, we get 3 with a remainder of 80.
The next digit of our result is 3. 
Result so far: 43.0
The remainder is 80 after subtracting 288 from 368.
Take the next digit (9) from the dividend and append it to 80, then repeat: 809 / 96

Let's proceed to step 5:
If we divide 809 by 96, we get 8 and a remainder of 41.
Write down 8 as next digit of the result. 
Result so far: 438.0
If we subtract 768 from 809, we get 41.
Grab the next digit (5) from the dividend, add it to 41, then carry on: 415 / 96

Advancing to step 6:
When dividing 415 by 96, we get 4 with a remainder of 31.
Write down 4 as next digit of the result. 
Result so far: 4384.0
If we subtract 384 from 415, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 7:
When dividing 310 by 96, we get 3 with a remainder of 22.
The number 3 becomes the next digit in our result. 
Result so far: 4384.3
If we subtract 288 from 310, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 8:
The number 96 fits into 220 2 times, leaving a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 4384.32
If we take 192 away from 220, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 9:
When dividing 280 by 96, we get 2 with a remainder of 88.
The number 2 becomes the next digit in our result. 
Result so far: 4384.322
Deduct 192 from 280 and we're left with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

The final result is 4384.322 with a remainder of 0.0088.