Let's divide 671003 by 30
We want to figure out the number of times 671003 can be divided by 30.

Advancing to step 1:
30 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 30

Moving on to step 2:
30 can be fit into 67 2 times, resulting in a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 60 from 67 leaves us with 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 30

Advancing to step 3:
When dividing 71 by 30, we get 2 with a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 22.0
Subtract 60 from 71 to get 11.
Take the next digit (0) from the dividend and append it to 11, then repeat: 110 / 30

Step 4:
30 can be fit into 110 3 times, resulting in a remainder of 20.
The number 3 becomes the next digit in our result. 
Result so far: 223.0
Subtracting 90 from 110 leaves us with 20.
Fetch the next digit (0) from the dividend, attach it to 20 and continue: 200 / 30

Moving on to step 5:
200 divided by 30 is 6 with a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 2236.0
If we subtract 180 from 200, we get 20.
Append the next digit (3) from the dividend to 20 and continue with: 203 / 30

Step 6:
30 can be fit into 203 6 times, resulting in a remainder of 23.
Record the quotient 6 as the next digit in the result. 
Result so far: 22366.0
Subtracting 180 from 203 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 7:
When dividing 230 by 30, we get 7 with a remainder of 20.
The number 7 becomes the next digit in our result. 
Result so far: 22366.7
If we subtract 210 from 230, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
30 can be fit into 200 6 times, resulting in a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 22366.76
If we subtract 180 from 200, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
When dividing 200 by 30, we get 6 with a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 22366.766
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 22366.766 with a remainder of 0.002.