We look at the division of 459403 by 97 
Our goal is to divide 459403 by 97.

Let's proceed to step 1:
The number 97 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 97

Going ahead to step 2:
45 divided by 97 is 0 with a remainder of 45.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 45 after subtracting 0 from 45.
Append the next digit (9) from the dividend to 45 and continue with: 459 / 97

Let's proceed to step 3:
97 goes into 459 4 times with a remainder of 71.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 388 away from 459, we end up with 71.
Include the next digit (4) from the dividend after 71, then repeat: 714 / 97

On to step 4:
714 divided by 97 is 7 with a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 47.0
If we subtract 679 from 714, we get 35.
Append the next digit (0) from the dividend to 35 and continue with: 350 / 97

Advancing to step 5:
The number 97 fits into 350 3 times, leaving a remainder of 59.
The number 3 becomes the next digit in our result. 
Result so far: 473.0
The remainder is 59 after subtracting 291 from 350.
Grab the next digit (3) from the dividend, add it to 59, then carry on: 593 / 97

Let's proceed to step 6:
97 goes into 593 6 times with a remainder of 11.
Put 6 as the next digit of the answer. 
Result so far: 4736.0
The remainder is 11 after subtracting 582 from 593.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
If we divide 110 by 97, we get 1 and a remainder of 13.
The next digit of our result is 1. 
Result so far: 4736.1
If we take 97 away from 110, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 8:
97 can be fit into 130 1 times, resulting in a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 4736.11
Subtract 97 from 130 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

After the division, we end up with 4736.11 and a remainder of 0.033.