22115 divided by 22 
We want to figure out the number of times 22115 can be divided by 22.

On to step 1:
The number 22 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 22

On to step 2:
22 can be fit into 22 1 times, resulting in a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 22 from 22 and we're left with 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 22

On to step 3:
When dividing 1 by 22, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 22

Moving on to step 4:
The number 22 fits into 11 0 times, leaving a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 100.0
Subtract 0 from 11 to get 11.
Include the next digit (5) from the dividend after 11, then repeat: 115 / 22

On to step 5:
When dividing 115 by 22, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 1005.0
Subtracting 110 from 115 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 6:
When dividing 50 by 22, we get 2 with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 1005.2
Subtracting 44 from 50 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 7:
22 can be fit into 60 2 times, resulting in a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 1005.22
Deduct 44 from 60 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The quotient of the division is 1005.22, and the remainder is 0.016.