641033 divided by 3 
We want to figure out the number of times 641033 can be divided by 3.

Step 1:
The number 3 fits into 6 2 times, leaving a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 6 from 6 to get 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 3

Step 2:
4 divided by 3 is 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
Subtract 3 from 4 to get 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 3

Advancing to step 3:
11 divided by 3 is 3 with a remainder of 2.
The next digit of our result is 3. 
Result so far: 213.0
Subtracting 9 from 11 leaves us with 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 3

Let's proceed to step 4:
3 goes into 20 6 times with a remainder of 2.
The next digit of our result is 6. 
Result so far: 2136.0
Subtracting 18 from 20 leaves us with 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 3

Step 5:
3 can be fit into 23 7 times, resulting in a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 21367.0
Deduct 21 from 23 and we're left with 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 3

Going ahead to step 6:
23 divided by 3 is 7 with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 213677.0
If we subtract 21 from 23, we 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.

On 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: 213677.6
If we subtract 18 from 20, we 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.

Moving on to step 8:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 213677.66
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.

The final result is 213677.66 with a remainder of 0.002.