21411 ÷ 14 
We want to figure out the number of times 21411 can be divided by 14.

Let's proceed to step 1:
The number 14 fits into 2 0 times, leaving a remainder of 2.
Write down 0 as next digit of the result. 
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 / 14

Moving on to step 2:
14 can be fit into 21 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 14 from 21, we get 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 14

Let's proceed to step 3:
14 goes into 74 5 times with a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
If we take 70 away from 74, we end up with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 14

Moving on to step 4:
41 divided by 14 is 2 with a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 152.0
Subtracting 28 from 41 leaves us with 13.
Take the next digit (1) from the dividend and append it to 13, then repeat: 131 / 14

Going ahead to step 5:
The number 14 fits into 131 9 times, leaving a remainder of 5.
Use 9 as the next digit of our solution. 
Result so far: 1529.0
If we subtract 126 from 131, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 6:
14 goes into 50 3 times with a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 1529.3
The remainder is 8 after subtracting 42 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
The number 14 fits into 80 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 1529.35
If we subtract 70 from 80, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
The number 14 fits into 100 7 times, leaving a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 1529.357
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.

On to step 9:
The number 14 fits into 20 1 times, leaving a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1529.3571
Subtracting 14 from 20 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 10:
If we divide 60 by 14, we get 4 and a remainder of 4.
The next digit of our result is 4. 
Result so far: 1529.35714
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.

Let's proceed to step 11:
If we divide 40 by 14, we get 2 and a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 1529.357142
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.

Going ahead to step 12:
The number 14 fits into 120 8 times, leaving a remainder of 8.
The next digit of our result is 8. 
Result so far: 1529.3571428
If we take 112 away from 120, we end up 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.

On to step 13:
When dividing 80 by 14, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 1529.35714285
If we subtract 70 from 80, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 1529.35714285 with a remaining 1e-08.