We're dividing 22668 by 75 
We're looking to find how many times 75 goes into 22668.

Step 1:
75 can be fit into 2 0 times, resulting in a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 75

Moving on to step 2:
22 divided by 75 is 0 with a remainder of 22.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 22, we get 22.
Grab the next digit (6) from the dividend, add it to 22, then carry on: 226 / 75

Let's proceed to step 3:
75 goes into 226 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 225 from 226 and we're left with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 75

Step 4:
16 divided by 75 is 0 with a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 30.0
Subtract 0 from 16 to get 16.
Append the next digit (8) from the dividend to 16 and continue with: 168 / 75

Step 5:
75 goes into 168 2 times with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 302.0
Subtract 150 from 168 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 6:
If we divide 180 by 75, we get 2 and a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 302.2
The remainder is 30 after subtracting 150 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 7:
75 goes into 300 4 times with a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 302.24
Deduct 300 from 300 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
When dividing 0 by 75, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 302.24
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
When dividing 0 by 75, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 302.24
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 302.24 with a remaining 0.0.