We divide 102635 by 22
We want to figure out the number of times 102635 can be divided by 22.

Let's proceed to step 1:
The number 22 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 22

Advancing to step 2:
22 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 22

Moving on to step 3:
The number 22 fits into 102 4 times, leaving a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 88 away from 102, we end up with 14.
Append the next digit (6) from the dividend to 14 and continue with: 146 / 22

On to step 4:
146 divided by 22 is 6 with a remainder of 14.
The next digit of our result is 6. 
Result so far: 46.0
If we subtract 132 from 146, we get 14.
Grab the next digit (3) from the dividend, add it to 14, then carry on: 143 / 22

Advancing to step 5:
The number 22 fits into 143 6 times, leaving a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 466.0
The remainder is 11 after subtracting 132 from 143.
Include the next digit (5) from the dividend after 11, then repeat: 115 / 22

Moving on to step 6:
The number 22 fits into 115 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 4665.0
Deduct 110 from 115 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.

On to step 7:
The number 22 fits into 50 2 times, leaving a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 4665.2
Deduct 44 from 50 and we're left 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 8:
When dividing 60 by 22, we get 2 with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 4665.22
Subtracting 44 from 60 leaves us 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.

After the division, we end up with 4665.22 and a remainder of 0.016.