We're dividing 102281 by 18 
We want to figure out the number of times 102281 can be divided by 18.

On to step 1:
When dividing 1 by 18, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 18

On to step 2:
If we divide 10 by 18, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (2) from the dividend, add it to 10, then carry on: 102 / 18

Moving on to step 3:
18 can be fit into 102 5 times, resulting in a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 90 from 102, we get 12.
Bring next digit (2) of the dividend behind the 12 and repeat the process: 122 / 18

On to step 4:
18 can be fit into 122 6 times, resulting in a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 56.0
If we subtract 108 from 122, we get 14.
Grab the next digit (8) from the dividend, add it to 14, then carry on: 148 / 18

Let's proceed to step 5:
If we divide 148 by 18, we get 8 and a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 568.0
If we take 144 away from 148, we end up with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 18

Let's proceed to step 6:
18 can be fit into 41 2 times, resulting in a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 5682.0
If we subtract 36 from 41, 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.

Advancing to step 7:
The number 18 fits into 50 2 times, leaving a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 5682.2
If we subtract 36 from 50, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 8:
18 can be fit into 140 7 times, resulting in a remainder of 14.
The next digit of our result is 7. 
Result so far: 5682.27
Subtract 126 from 140 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 9:
The number 18 fits into 140 7 times, leaving a remainder of 14.
The next digit of our result is 7. 
Result so far: 5682.277
Subtracting 126 from 140 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Our division results in 5682.277 with a remaining 0.0014.