21278311 ÷ 963 
We're looking to find how many times 963 goes into 21278311.

On to step 1:
If we divide 2 by 963, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 963

On to step 2:
963 can be fit into 21 0 times, resulting in a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 21 and we're left with 21.
Bring next digit (2) of the dividend behind the 21 and repeat the process: 212 / 963

Moving on to step 3:
When dividing 212 by 963, we get 0 with a remainder of 212.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 212, we get 212.
Fetch the next digit (7) from the dividend, attach it to 212 and continue: 2127 / 963

Advancing to step 4:
963 goes into 2127 2 times with a remainder of 201.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 1926 from 2127 leaves us with 201.
Take the next digit (8) from the dividend and append it to 201, then repeat: 2018 / 963

Advancing to step 5:
963 goes into 2018 2 times with a remainder of 92.
Use 2 as the next digit of our solution. 
Result so far: 22.0
The remainder is 92 after subtracting 1926 from 2018.
Take the next digit (3) from the dividend and append it to 92, then repeat: 923 / 963

Let's proceed to step 6:
The number 963 fits into 923 0 times, leaving a remainder of 923.
Write down 0 as next digit of the result. 
Result so far: 220.0
Deduct 0 from 923 and we're left with 923.
Bring next digit (1) of the dividend behind the 923 and repeat the process: 9231 / 963

Step 7:
9231 divided by 963 is 9 with a remainder of 564.
The number 9 becomes the next digit in our result. 
Result so far: 2209.0
If we subtract 8667 from 9231, we get 564.
Append the next digit (1) from the dividend to 564 and continue with: 5641 / 963

Step 8:
The number 963 fits into 5641 5 times, leaving a remainder of 826.
The next digit of our result is 5. 
Result so far: 22095.0
If we subtract 4815 from 5641, we get 826.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8260, and continue the process.

Going ahead to step 9:
963 goes into 8260 8 times with a remainder of 556.
Record the quotient 8 as the next digit in the result. 
Result so far: 22095.8
Subtract 7704 from 8260 to get 556.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5560, and continue the process.

On to step 10:
963 can be fit into 5560 5 times, resulting in a remainder of 745.
Use 5 as the next digit of our solution. 
Result so far: 22095.85
If we take 4815 away from 5560, we end up with 745.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7450, and continue the process.

Advancing to step 11:
963 goes into 7450 7 times with a remainder of 709.
The next digit of our result is 7. 
Result so far: 22095.857
Subtracting 6741 from 7450 leaves us with 709.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7090, and continue the process.

Advancing to step 12:
If we divide 7090 by 963, we get 7 and a remainder of 349.
Put 7 as the next digit of the answer. 
Result so far: 22095.8577
Subtract 6741 from 7090 to get 349.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3490, and continue the process.

The final outcome is 22095.8577, with a leftover of 0.00349.