We're dividing 12665 by 30 
Our goal is to divide 12665 by 30.

Moving on to step 1:
1 divided by 30 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 30

Advancing to step 2:
If we divide 12 by 30, we get 0 and a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 12 to get 12.
Include the next digit (6) from the dividend after 12, then repeat: 126 / 30

Step 3:
30 goes into 126 4 times with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtract 120 from 126 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 30

On to step 4:
30 goes into 66 2 times with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
The remainder is 6 after subtracting 60 from 66.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 30

Advancing to step 5:
If we divide 65 by 30, we get 2 and a remainder of 5.
The next digit of our result is 2. 
Result so far: 422.0
The remainder is 5 after subtracting 60 from 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 6:
The number 30 fits into 50 1 times, leaving a remainder of 20.
Write down 1 as next digit of the result. 
Result so far: 422.1
The remainder is 20 after subtracting 30 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 7:
When dividing 200 by 30, we get 6 with a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 422.16
Subtracting 180 from 200 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
200 divided by 30 is 6 with a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 422.166
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 422.166 with a remaining 0.002.