We're dividing 433258 by 97 
Let's see how many times 97 fits into 433258.

Step 1:
If we divide 4 by 97, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 97

Advancing to step 2:
97 can be fit into 43 0 times, resulting in a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Include the next digit (3) from the dividend after 43, then repeat: 433 / 97

On to step 3:
When dividing 433 by 97, we get 4 with a remainder of 45.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 388 from 433 leaves us with 45.
Fetch the next digit (2) from the dividend, attach it to 45 and continue: 452 / 97

Let's proceed to step 4:
97 can be fit into 452 4 times, resulting in a remainder of 64.
Write down 4 as next digit of the result. 
Result so far: 44.0
Deduct 388 from 452 and we're left with 64.
Take the next digit (5) from the dividend and append it to 64, then repeat: 645 / 97

Step 5:
When dividing 645 by 97, we get 6 with a remainder of 63.
Use 6 as the next digit of our solution. 
Result so far: 446.0
Subtract 582 from 645 to get 63.
Include the next digit (8) from the dividend after 63, then repeat: 638 / 97

Let's proceed to step 6:
97 can be fit into 638 6 times, resulting in a remainder of 56.
Put 6 as the next digit of the answer. 
Result so far: 4466.0
The remainder is 56 after subtracting 582 from 638.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 7:
97 can be fit into 560 5 times, resulting in a remainder of 75.
The next digit of our result is 5. 
Result so far: 4466.5
Subtracting 485 from 560 leaves us with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Let's proceed to step 8:
The number 97 fits into 750 7 times, leaving a remainder of 71.
The next digit of our result is 7. 
Result so far: 4466.57
Deduct 679 from 750 and we're left with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Let's proceed to step 9:
97 can be fit into 710 7 times, resulting in a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 4466.577
Subtracting 679 from 710 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

After the division, we end up with 4466.577 and a remainder of 0.0031.