430518 ÷ 97 
Our goal is to divide 430518 by 97.

Moving on to step 1:
4 divided by 97 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 97

Moving on to step 2:
97 can be fit into 43 0 times, resulting in a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Bring next digit (0) of the dividend behind the 43 and repeat the process: 430 / 97

Let's proceed to step 3:
430 divided by 97 is 4 with a remainder of 42.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 388 from 430 and we're left with 42.
Append the next digit (5) from the dividend to 42 and continue with: 425 / 97

Advancing to step 4:
97 can be fit into 425 4 times, resulting in a remainder of 37.
The next digit of our result is 4. 
Result so far: 44.0
The remainder is 37 after subtracting 388 from 425.
Append the next digit (1) from the dividend to 37 and continue with: 371 / 97

On to step 5:
If we divide 371 by 97, we get 3 and a remainder of 80.
Put 3 as the next digit of the answer. 
Result so far: 443.0
If we take 291 away from 371, we end up with 80.
Fetch the next digit (8) from the dividend, attach it to 80 and continue: 808 / 97

Advancing to step 6:
97 goes into 808 8 times with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 4438.0
Subtracting 776 from 808 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 7:
The number 97 fits into 320 3 times, leaving a remainder of 29.
The next digit of our result is 3. 
Result so far: 4438.3
If we take 291 away from 320, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 8:
97 can be fit into 290 2 times, resulting in a remainder of 96.
Record the quotient 2 as the next digit in the result. 
Result so far: 4438.32
If we subtract 194 from 290, we get 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Let's proceed to step 9:
If we divide 960 by 97, we get 9 and a remainder of 87.
Use 9 as the next digit of our solution. 
Result so far: 4438.329
If we subtract 873 from 960, we get 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

On to step 10:
97 goes into 870 8 times with a remainder of 94.
Use 8 as the next digit of our solution. 
Result so far: 4438.3298
Deduct 776 from 870 and we're left with 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

Advancing to step 11:
When dividing 940 by 97, we get 9 with a remainder of 67.
Put 9 as the next digit of the answer. 
Result so far: 4438.32989
Deduct 873 from 940 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Going ahead to step 12:
97 goes into 670 6 times with a remainder of 88.
The next digit of our result is 6. 
Result so far: 4438.329896
If we take 582 away from 670, we end up with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Moving on to step 13:
When dividing 880 by 97, we get 9 with a remainder of 7.
The next digit of our result is 9. 
Result so far: 4438.3298969
Subtract 873 from 880 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 14:
97 goes into 70 0 times with a remainder of 70.
Put 0 as the next digit of the answer. 
Result so far: 4438.3298969
If we take 0 away from 70, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Our division results in 4438.3298969 with a remaining 7e-08.