We look at the division of 434311 by 97 
Let's see how many times 97 fits into 434311.

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
Subtracting 0 from 4 leaves us with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 97

Going ahead to step 2:
97 goes into 43 0 times with 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.
Bring next digit (4) of the dividend behind the 43 and repeat the process: 434 / 97

Advancing 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.
Bring next digit (3) of the dividend behind the 46 and repeat the process: 463 / 97

Let's proceed to step 4:
The number 97 fits into 463 4 times, leaving a remainder of 75.
The next digit of our result is 4. 
Result so far: 44.0
The remainder is 75 after subtracting 388 from 463.
Grab the next digit (1) from the dividend, add it to 75, then carry on: 751 / 97

Moving on to step 5:
97 goes into 751 7 times with a remainder of 72.
Use 7 as the next digit of our solution. 
Result so far: 447.0
The remainder is 72 after subtracting 679 from 751.
Grab the next digit (1) from the dividend, add it to 72, then carry on: 721 / 97

Let's proceed to step 6:
The number 97 fits into 721 7 times, leaving a remainder of 42.
The next digit of our result is 7. 
Result so far: 4477.0
The remainder is 42 after subtracting 679 from 721.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 7:
When dividing 420 by 97, we get 4 with a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 4477.4
Deduct 388 from 420 and we're left 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.

Let's proceed to step 8:
97 can be fit into 320 3 times, resulting in a remainder of 29.
Put 3 as the next digit of the answer. 
Result so far: 4477.43
Subtracting 291 from 320 leaves us 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.

Advancing to step 9:
The number 97 fits into 290 2 times, leaving a remainder of 96.
Use 2 as the next digit of our solution. 
Result so far: 4477.432
Deduct 194 from 290 and we're left with 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

On to step 10:
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: 4477.4329
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.

Let's proceed to step 11:
If we divide 870 by 97, we get 8 and a remainder of 94.
Record the quotient 8 as the next digit in the result. 
Result so far: 4477.43298
Subtracting 776 from 870 leaves us 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.

Let's proceed to step 12:
If we divide 940 by 97, we get 9 and a remainder of 67.
The next digit of our result is 9. 
Result so far: 4477.432989
If we take 873 away from 940, we end up 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.

Let's proceed to step 13:
670 divided by 97 is 6 with a remainder of 88.
The number 6 becomes the next digit in our result. 
Result so far: 4477.4329896
Deduct 582 from 670 and we're left 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.

Step 14:
97 can be fit into 880 9 times, resulting in a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 4477.43298969
If we take 873 away from 880, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Our division results in 4477.43298969 with a remaining 7e-09.