We look at the division of 458735 by 97 
We want to figure out the number of times 458735 can be divided by 97.

Step 1:
4 divided by 97 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 97

Step 2:
When dividing 45 by 97, we get 0 with a remainder of 45.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 45, we end up with 45.
Append the next digit (8) from the dividend to 45 and continue with: 458 / 97

Moving on to step 3:
When dividing 458 by 97, we get 4 with a remainder of 70.
The next digit of our result is 4. 
Result so far: 4.0
If we take 388 away from 458, we end up with 70.
Take the next digit (7) from the dividend and append it to 70, then repeat: 707 / 97

Let's proceed to step 4:
97 can be fit into 707 7 times, resulting in a remainder of 28.
Record the quotient 7 as the next digit in the result. 
Result so far: 47.0
If we take 679 away from 707, we end up with 28.
Fetch the next digit (3) from the dividend, attach it to 28 and continue: 283 / 97

Let's proceed to step 5:
97 goes into 283 2 times with a remainder of 89.
The next digit of our result is 2. 
Result so far: 472.0
If we take 194 away from 283, we end up with 89.
Take the next digit (5) from the dividend and append it to 89, then repeat: 895 / 97

Moving on to step 6:
97 can be fit into 895 9 times, resulting in a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 4729.0
Deduct 873 from 895 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 7:
97 goes into 220 2 times with a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 4729.2
If we take 194 away from 220, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 8:
If we divide 260 by 97, we get 2 and a remainder of 66.
Write down 2 as next digit of the result. 
Result so far: 4729.22
Subtract 194 from 260 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The quotient of the division is 4729.22, and the remainder is 0.066.