We're dividing 436668 by 12 
We want to divide 436668 by 12.

Advancing to step 1:
If we divide 4 by 12, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 12

Advancing to step 2:
If we divide 43 by 12, we get 3 and a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 36 from 43 to get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 12

Going ahead to step 3:
76 divided by 12 is 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 36.0
If we subtract 72 from 76, we get 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 12

Moving on to step 4:
12 can be fit into 46 3 times, resulting in a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 363.0
Deduct 36 from 46 and we're left with 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 12

On to step 5:
106 divided by 12 is 8 with a remainder of 10.
The next digit of our result is 8. 
Result so far: 3638.0
Deduct 96 from 106 and we're left with 10.
Grab the next digit (8) from the dividend, add it to 10, then carry on: 108 / 12

Moving on to step 6:
12 goes into 108 9 times with a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 36389.0
If we take 108 away from 108, we end up 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.

Step 7:
The number 12 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 36389.0
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.

Let's proceed to step 8:
The number 12 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 36389.0
If we take 0 away from 0, we end up 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.

The final result is 36389.0 with a remainder of 0.0.