We look at the division of 434935 by 97 
Let's see how many times 97 fits into 434935.

On to step 1:
If we divide 4 by 97, we get 0 and 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.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 97

On to step 2:
When dividing 43 by 97, we get 0 with a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Include the next digit (4) from the dividend after 43, then repeat: 434 / 97

Let's proceed to step 3:
434 divided by 97 is 4 with a remainder of 46.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 388 from 434, we get 46.
Grab the next digit (9) from the dividend, add it to 46, then carry on: 469 / 97

Let's proceed to step 4:
If we divide 469 by 97, we get 4 and a remainder of 81.
Put 4 as the next digit of the answer. 
Result so far: 44.0
Deduct 388 from 469 and we're left with 81.
Bring next digit (3) of the dividend behind the 81 and repeat the process: 813 / 97

Moving on to step 5:
97 can be fit into 813 8 times, resulting in a remainder of 37.
Use 8 as the next digit of our solution. 
Result so far: 448.0
The remainder is 37 after subtracting 776 from 813.
Include the next digit (5) from the dividend after 37, then repeat: 375 / 97

On to step 6:
The number 97 fits into 375 3 times, leaving a remainder of 84.
Record the quotient 3 as the next digit in the result. 
Result so far: 4483.0
Subtracting 291 from 375 leaves us with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Advancing to step 7:
97 can be fit into 840 8 times, resulting in a remainder of 64.
Record the quotient 8 as the next digit in the result. 
Result so far: 4483.8
Deduct 776 from 840 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 8:
If we divide 640 by 97, we get 6 and a remainder of 58.
The number 6 becomes the next digit in our result. 
Result so far: 4483.86
Subtract 582 from 640 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 9:
The number 97 fits into 580 5 times, leaving a remainder of 95.
Put 5 as the next digit of the answer. 
Result so far: 4483.865
Subtract 485 from 580 to get 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Step 10:
The number 97 fits into 950 9 times, leaving a remainder of 77.
Record the quotient 9 as the next digit in the result. 
Result so far: 4483.8659
Subtract 873 from 950 to get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Moving on to step 11:
770 divided by 97 is 7 with a remainder of 91.
Write down 7 as next digit of the result. 
Result so far: 4483.86597
If we subtract 679 from 770, we get 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Let's proceed to step 12:
97 goes into 910 9 times with a remainder of 37.
Use 9 as the next digit of our solution. 
Result so far: 4483.865979
Subtract 873 from 910 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 13:
370 divided by 97 is 3 with a remainder of 79.
Put 3 as the next digit of the answer. 
Result so far: 4483.8659793
If we take 291 away from 370, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Step 14:
97 goes into 790 8 times with a remainder of 14.
The next digit of our result is 8. 
Result so far: 4483.86597938
Subtracting 776 from 790 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 4483.86597938, and the remainder is 1.4e-08.