We're dividing 21116 by 11 
Let's see how many times 11 fits into 21116.

On to step 1:
When dividing 2 by 11, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 11

Advancing to step 2:
The number 11 fits into 21 1 times, leaving a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 11 from 21, we get 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 11

Going ahead to step 3:
101 divided by 11 is 9 with a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 19.0
If we subtract 99 from 101, we get 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 11

On to step 4:
21 divided by 11 is 1 with a remainder of 10.
The next digit of our result is 1. 
Result so far: 191.0
Subtracting 11 from 21 leaves us with 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 11

On to step 5:
106 divided by 11 is 9 with a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 1919.0
If we take 99 away from 106, we end up 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.

On to step 6:
When dividing 70 by 11, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 1919.6
Deduct 66 from 70 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.

On to step 7:
If we divide 40 by 11, we get 3 and a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 1919.63
Subtract 33 from 40 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.

Advancing to step 8:
When dividing 70 by 11, we get 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 1919.636
If we subtract 66 from 70, we get 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 9:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 1919.6363
The remainder is 7 after subtracting 33 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 10:
11 can be fit into 70 6 times, resulting in a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 1919.63636
If we take 66 away from 70, we end up 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:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 1919.636363
Deduct 33 from 40 and we're left 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.

Step 12:
70 divided by 11 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 1919.6363636
If we subtract 66 from 70, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 13:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 1919.63636363
Deduct 33 from 40 and we're left 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.

Our division results in 1919.63636363 with a remaining 7e-09.