218102 ÷ 22 
We want to figure out the number of times 218102 can be divided by 22.

On to step 1:
2 divided by 22 is 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 22

Step 2:
22 can be fit into 21 0 times, resulting in a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 21 after subtracting 0 from 21.
Include the next digit (8) from the dividend after 21, then repeat: 218 / 22

Let's proceed to step 3:
22 goes into 218 9 times with a remainder of 20.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtract 198 from 218 to get 20.
Include the next digit (1) from the dividend after 20, then repeat: 201 / 22

Going ahead to step 4:
The number 22 fits into 201 9 times, leaving a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 99.0
Subtracting 198 from 201 leaves us with 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 22

On to step 5:
22 can be fit into 30 1 times, resulting in a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 991.0
If we subtract 22 from 30, we get 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 22

Step 6:
If we divide 82 by 22, we get 3 and a remainder of 16.
Put 3 as the next digit of the answer. 
Result so far: 9913.0
If we take 66 away from 82, we end up 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.

Advancing to step 7:
22 can be fit into 160 7 times, resulting in a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 9913.7
Subtract 154 from 160 to 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.

Let's proceed to step 8:
When dividing 60 by 22, we get 2 with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 9913.72
Subtract 44 from 60 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 9:
22 can be fit into 160 7 times, resulting in a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 9913.727
Subtracting 154 from 160 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.

Step 10:
60 divided by 22 is 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 9913.7272
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.

Moving on to step 11:
22 goes into 160 7 times with a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 9913.72727
If we subtract 154 from 160, 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.

Advancing to step 12:
22 goes into 60 2 times with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 9913.727272
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.

Let's proceed to step 13:
160 divided by 22 is 7 with a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 9913.7272727
Deduct 154 from 160 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.

Advancing to step 14:
22 can be fit into 60 2 times, resulting in a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 9913.72727272
Subtract 44 from 60 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 9913.72727272 with a remaining 1.6e-08.