We're dividing 21278 by 96 
We want to divide 21278 by 96.

Let's proceed to step 1:
96 can be fit into 2 0 times, resulting in a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 96

Going ahead to step 2:
96 can be fit into 21 0 times, resulting in a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 21, we end up with 21.
Include the next digit (2) from the dividend after 21, then repeat: 212 / 96

On to step 3:
The number 96 fits into 212 2 times, leaving a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 192 from 212 to get 20.
Grab the next digit (7) from the dividend, add it to 20, then carry on: 207 / 96

Moving on to step 4:
If we divide 207 by 96, we get 2 and a remainder of 15.
The next digit of our result is 2. 
Result so far: 22.0
If we take 192 away from 207, we end up with 15.
Include the next digit (8) from the dividend after 15, then repeat: 158 / 96

Step 5:
158 divided by 96 is 1 with a remainder of 62.
Write down 1 as next digit of the result. 
Result so far: 221.0
If we subtract 96 from 158, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 6:
The number 96 fits into 620 6 times, leaving a remainder of 44.
The next digit of our result is 6. 
Result so far: 221.6
If we subtract 576 from 620, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 7:
96 can be fit into 440 4 times, resulting in a remainder of 56.
The next digit of our result is 4. 
Result so far: 221.64
If we subtract 384 from 440, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 8:
560 divided by 96 is 5 with a remainder of 80.
The next digit of our result is 5. 
Result so far: 221.645
Subtract 480 from 560 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 9:
The number 96 fits into 800 8 times, leaving a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 221.6458
If we subtract 768 from 800, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 10:
96 goes into 320 3 times with a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 221.64583
Deduct 288 from 320 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 11:
96 goes into 320 3 times with a remainder of 32.
The next digit of our result is 3. 
Result so far: 221.645833
If we take 288 away from 320, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 221.645833, and the remainder is 3.2e-06.