We're dividing 638966 by 3 
Our goal is to divide 638966 by 3.

Going ahead to step 1:
6 divided by 3 is 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 6 from 6 and we're left with 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 3

Advancing to step 2:
When dividing 3 by 3, we get 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
If we subtract 3 from 3, we get 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 3

Moving on to step 3:
The number 3 fits into 8 2 times, leaving a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 212.0
If we subtract 6 from 8, we get 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 3

On to step 4:
The number 3 fits into 29 9 times, leaving a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 2129.0
If we take 27 away from 29, we end up with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 3

Step 5:
26 divided by 3 is 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 21298.0
The remainder is 2 after subtracting 24 from 26.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 3

On to step 6:
The number 3 fits into 26 8 times, leaving a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 212988.0
Deduct 24 from 26 and we're left 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.

Let's proceed to step 7:
3 can be fit into 20 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 212988.6
Deduct 18 from 20 and we're left 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.

Advancing to step 8:
3 goes into 20 6 times with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 212988.66
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.

The quotient of the division is 212988.66, and the remainder is 0.002.