Let's divide 670403 by 3
We want to figure out the number of times 670403 can be divided by 3.

On to step 1:
6 divided by 3 is 2 with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 6 away from 6, we end up with 0.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 3

On to step 2:
The number 3 fits into 7 2 times, leaving a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 22.0
The remainder is 1 after subtracting 6 from 7.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 3

Advancing to step 3:
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: 223.0
Subtract 9 from 10 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 3

Going ahead to step 4:
3 can be fit into 14 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 2234.0
If we subtract 12 from 14, we get 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 3

Moving on to step 5:
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: 22346.0
Deduct 18 from 20 and we're left with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 3

Moving on to step 6:
If we divide 23 by 3, we get 7 and a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 223467.0
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.

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: 223467.6
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.

Step 8:
If we divide 20 by 3, we get 6 and a remainder of 2.
The next digit of our result is 6. 
Result so far: 223467.66
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.

In conclusion, the division gives 223467.66 with a balance of 0.002.