Let's divide 21914 by 14
We want to divide 21914 by 14.

Going ahead to step 1:
If we divide 2 by 14, we get 0 and 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.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 14

Let's proceed to step 2:
14 goes into 21 1 times with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 14 from 21 and we're left with 7.
Grab the next digit (9) from the dividend, add it to 7, then carry on: 79 / 14

Going ahead to step 3:
14 can be fit into 79 5 times, resulting in a remainder of 9.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Subtracting 70 from 79 leaves us with 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 14

Moving on to step 4:
14 goes into 91 6 times with a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 156.0
Deduct 84 from 91 and we're left with 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 14

Moving on to step 5:
14 can be fit into 74 5 times, resulting in a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 1565.0
Subtracting 70 from 74 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 6:
14 goes into 40 2 times with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 1565.2
If we take 28 away from 40, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
If we divide 120 by 14, we get 8 and a remainder of 8.
The next digit of our result is 8. 
Result so far: 1565.28
Subtracting 112 from 120 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.

Step 8:
14 can be fit into 80 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 1565.285
If we take 70 away from 80, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
100 divided by 14 is 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 1565.2857
If we take 98 away from 100, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
14 can be fit into 20 1 times, resulting in a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1565.28571
The remainder is 6 after subtracting 14 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 11:
If we divide 60 by 14, we get 4 and a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 1565.285714
Deduct 56 from 60 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 12:
If we divide 40 by 14, we get 2 and a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 1565.2857142
If we subtract 28 from 40, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 13:
14 can be fit into 120 8 times, resulting in a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 1565.28571428
Subtracting 112 from 120 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 result is 1565.28571428 with a remainder of 8e-09.