We look at the division of 666214 by 3 
We want to figure out the number of times 666214 can be divided by 3.

On to step 1:
3 can be fit into 6 2 times, resulting in a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 0 after subtracting 6 from 6.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 3

Let's proceed to step 2:
When dividing 6 by 3, we get 2 with a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 22.0
Subtracting 6 from 6 leaves us with 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 3

Going ahead to step 3:
The number 3 fits into 6 2 times, leaving a remainder of 0.
The next digit of our result is 2. 
Result so far: 222.0
The remainder is 0 after subtracting 6 from 6.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 3

On to step 4:
3 can be fit into 2 0 times, resulting in a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 2220.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 3

Step 5:
3 can be fit into 21 7 times, resulting in a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 22207.0
Subtracting 21 from 21 leaves us with 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 3

Advancing to step 6:
If we divide 4 by 3, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 222071.0
Subtract 3 from 4 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 222071.3
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
10 divided by 3 is 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 222071.33
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 222071.33 and a remainder of 0.001.