We look at the division of 735221 by 97 
We want to divide 735221 by 97.

Let's proceed to step 1:
If we divide 7 by 97, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (3) from the dividend after 7, then repeat: 73 / 97

Let's proceed to step 2:
97 goes into 73 0 times with a remainder of 73.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 73 after subtracting 0 from 73.
Include the next digit (5) from the dividend after 73, then repeat: 735 / 97

Moving on to step 3:
If we divide 735 by 97, we get 7 and a remainder of 56.
Write down 7 as next digit of the result. 
Result so far: 7.0
The remainder is 56 after subtracting 679 from 735.
Take the next digit (2) from the dividend and append it to 56, then repeat: 562 / 97

Advancing to step 4:
When dividing 562 by 97, we get 5 with a remainder of 77.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
The remainder is 77 after subtracting 485 from 562.
Grab the next digit (2) from the dividend, add it to 77, then carry on: 772 / 97

Let's proceed to step 5:
When dividing 772 by 97, we get 7 with a remainder of 93.
Record the quotient 7 as the next digit in the result. 
Result so far: 757.0
If we take 679 away from 772, we end up with 93.
Bring next digit (1) of the dividend behind the 93 and repeat the process: 931 / 97

Going ahead to step 6:
931 divided by 97 is 9 with a remainder of 58.
The next digit of our result is 9. 
Result so far: 7579.0
If we take 873 away from 931, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 7:
The number 97 fits into 580 5 times, leaving a remainder of 95.
Record the quotient 5 as the next digit in the result. 
Result so far: 7579.5
If we take 485 away from 580, we end up with 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Advancing to step 8:
950 divided by 97 is 9 with a remainder of 77.
Record the quotient 9 as the next digit in the result. 
Result so far: 7579.59
The remainder is 77 after subtracting 873 from 950.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Going ahead to step 9:
When dividing 770 by 97, we get 7 with a remainder of 91.
Record the quotient 7 as the next digit in the result. 
Result so far: 7579.597
Deduct 679 from 770 and we're left with 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Going ahead to step 10:
97 goes into 910 9 times with a remainder of 37.
Write down 9 as next digit of the result. 
Result so far: 7579.5979
Deduct 873 from 910 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 11:
When dividing 370 by 97, we get 3 with a remainder of 79.
The next digit of our result is 3. 
Result so far: 7579.59793
If we subtract 291 from 370, we get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Moving on to step 12:
97 can be fit into 790 8 times, resulting in a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 7579.597938
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.

Let's proceed to step 13:
The number 97 fits into 140 1 times, leaving a remainder of 43.
Write down 1 as next digit of the result. 
Result so far: 7579.5979381
Subtracting 97 from 140 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 14:
97 can be fit into 430 4 times, resulting in a remainder of 42.
Put 4 as the next digit of the answer. 
Result so far: 7579.59793814
Deduct 388 from 430 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

In conclusion, the division gives 7579.59793814 with a balance of 4.2e-08.