We look at the division of 423003 by 97 
We want to figure out the number of times 423003 can be divided by 97.

Step 1:
When dividing 4 by 97, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 97

Advancing to step 2:
97 goes into 42 0 times with a remainder of 42.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 42, we end up with 42.
Take the next digit (3) from the dividend and append it to 42, then repeat: 423 / 97

Let's proceed to step 3:
97 goes into 423 4 times with a remainder of 35.
Write down 4 as next digit of the result. 
Result so far: 4.0
Deduct 388 from 423 and we're left with 35.
Bring next digit (0) of the dividend behind the 35 and repeat the process: 350 / 97

On to step 4:
350 divided by 97 is 3 with a remainder of 59.
Put 3 as the next digit of the answer. 
Result so far: 43.0
The remainder is 59 after subtracting 291 from 350.
Append the next digit (0) from the dividend to 59 and continue with: 590 / 97

Let's proceed to step 5:
590 divided by 97 is 6 with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 436.0
Deduct 582 from 590 and we're left with 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 97

Step 6:
97 can be fit into 83 0 times, resulting in a remainder of 83.
Record the quotient 0 as the next digit in the result. 
Result so far: 4360.0
Deduct 0 from 83 and we're left with 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

On to step 7:
97 can be fit into 830 8 times, resulting in a remainder of 54.
Write down 8 as next digit of the result. 
Result so far: 4360.8
Deduct 776 from 830 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 8:
97 goes into 540 5 times with a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 4360.85
If we subtract 485 from 540, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 9:
97 goes into 550 5 times with a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 4360.855
Subtracting 485 from 550 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Our division results in 4360.855 with a remaining 0.0065.