21366 ÷ 13 
We want to divide 21366 by 13.

Step 1:
13 can be fit into 2 0 times, resulting in a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 13

Advancing to step 2:
21 divided by 13 is 1 with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 13 from 21 and we're left with 8.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 13

Moving on to step 3:
The number 13 fits into 83 6 times, leaving a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
If we take 78 away from 83, we end up with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 13

On to step 4:
56 divided by 13 is 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 164.0
Subtract 52 from 56 to get 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 13

Moving on to step 5:
13 goes into 46 3 times with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 1643.0
Subtract 39 from 46 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 6:
When dividing 70 by 13, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 1643.5
Deduct 65 from 70 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
If we divide 50 by 13, we get 3 and a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 1643.53
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 1643.538
If we subtract 104 from 110, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 9:
13 goes into 60 4 times with a remainder of 8.
The next digit of our result is 4. 
Result so far: 1643.5384
If we take 52 away from 60, 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.

Moving on to step 10:
13 goes into 80 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 1643.53846
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 11:
20 divided by 13 is 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 1643.538461
Subtracting 13 from 20 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 12:
13 goes into 70 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 1643.5384615
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 13:
If we divide 50 by 13, we get 3 and a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 1643.53846153
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

In conclusion, the division gives 1643.53846153 with a balance of 1.1e-08.