421668 divided by 96 
We want to figure out the number of times 421668 can be divided by 96.

On to step 1:
When dividing 4 by 96, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 96

Let's proceed to step 2:
42 divided by 96 is 0 with a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Append the next digit (1) from the dividend to 42 and continue with: 421 / 96

On to step 3:
96 goes into 421 4 times with a remainder of 37.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we subtract 384 from 421, we get 37.
Take the next digit (6) from the dividend and append it to 37, then repeat: 376 / 96

Going ahead to step 4:
96 can be fit into 376 3 times, resulting in a remainder of 88.
Use 3 as the next digit of our solution. 
Result so far: 43.0
If we subtract 288 from 376, we get 88.
Grab the next digit (6) from the dividend, add it to 88, then carry on: 886 / 96

Step 5:
If we divide 886 by 96, we get 9 and a remainder of 22.
Use 9 as the next digit of our solution. 
Result so far: 439.0
Subtract 864 from 886 to get 22.
Take the next digit (8) from the dividend and append it to 22, then repeat: 228 / 96

Moving on to step 6:
If we divide 228 by 96, we get 2 and a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 4392.0
The remainder is 36 after subtracting 192 from 228.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 7:
96 can be fit into 360 3 times, resulting in a remainder of 72.
The next digit of our result is 3. 
Result so far: 4392.3
If we take 288 away from 360, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 8:
If we divide 720 by 96, we get 7 and a remainder of 48.
The next digit of our result is 7. 
Result so far: 4392.37
Subtract 672 from 720 to 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.

Advancing to step 9:
When dividing 480 by 96, we get 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 4392.375
Subtracting 480 from 480 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.

Going ahead to step 10:
96 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 4392.375
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 11:
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: 4392.375
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 4392.375 and a remainder of 0.0.