666953 divided by 3 
Let's see how many times 3 fits into 666953.

On to step 1:
If we divide 6 by 3, we get 2 and a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 6 from 6 leaves us with 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 3

On to step 2:
If we divide 6 by 3, we get 2 and a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
If we subtract 6 from 6, we get 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 3

Let's proceed to step 3:
6 divided by 3 is 2 with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 222.0
Deduct 6 from 6 and we're left with 0.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 3

Let's proceed to step 4:
The number 3 fits into 9 3 times, leaving a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 2223.0
Subtracting 9 from 9 leaves us with 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 3

Step 5:
3 can be fit into 5 1 times, resulting in a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 22231.0
If we take 3 away from 5, we end up with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 3

Step 6:
3 can be fit into 23 7 times, resulting in a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 222317.0
The remainder is 2 after subtracting 21 from 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
If we divide 20 by 3, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 222317.6
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
3 goes into 20 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 222317.66
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 222317.66 with a balance of 0.002.