We're dividing 669800 by 3 
Our goal is to divide 669800 by 3.

Going ahead to step 1:
The number 3 fits into 6 2 times, leaving a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 6 from 6 and we're left with 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 3

Moving on to step 2:
3 goes into 6 2 times with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
Deduct 6 from 6 and we're left with 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 3

Going ahead to step 3:
If we divide 9 by 3, we get 3 and a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 223.0
Deduct 9 from 9 and we're left with 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 3

Going ahead to step 4:
3 goes into 8 2 times with a remainder of 2.
The next digit of our result is 2. 
Result so far: 2232.0
Subtract 6 from 8 to get 2.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 3

Let's proceed to step 5:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 22326.0
Deduct 18 from 20 and we're left with 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 3

Going ahead to step 6:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 223266.0
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.

Let's proceed to step 7:
3 goes into 20 6 times with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 223266.6
Subtracting 18 from 20 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
When dividing 20 by 3, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 223266.66
If we take 18 away from 20, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 223266.66, and the remainder is 0.002.