We look at the division of 734921 by 97 
We're looking to find how many times 97 goes into 734921.

On to step 1:
If we divide 7 by 97, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 97

Advancing to step 2:
When dividing 73 by 97, we get 0 with a remainder of 73.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 73, we get 73.
Take the next digit (4) from the dividend and append it to 73, then repeat: 734 / 97

Going ahead to step 3:
97 goes into 734 7 times with a remainder of 55.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 679 from 734, we get 55.
Append the next digit (9) from the dividend to 55 and continue with: 559 / 97

Step 4:
If we divide 559 by 97, we get 5 and a remainder of 74.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
Subtract 485 from 559 to get 74.
Bring next digit (2) of the dividend behind the 74 and repeat the process: 742 / 97

Let's proceed to step 5:
742 divided by 97 is 7 with a remainder of 63.
Record the quotient 7 as the next digit in the result. 
Result so far: 757.0
Subtracting 679 from 742 leaves us with 63.
Grab the next digit (1) from the dividend, add it to 63, then carry on: 631 / 97

Going ahead to step 6:
631 divided by 97 is 6 with a remainder of 49.
The next digit of our result is 6. 
Result so far: 7576.0
The remainder is 49 after subtracting 582 from 631.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 7:
If we divide 490 by 97, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 7576.5
Subtracting 485 from 490 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
50 divided by 97 is 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 7576.5
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
500 divided by 97 is 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 7576.505
Subtract 485 from 500 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 10:
When dividing 150 by 97, we get 1 with a remainder of 53.
The number 1 becomes the next digit in our result. 
Result so far: 7576.5051
The remainder is 53 after subtracting 97 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 11:
If we divide 530 by 97, we get 5 and a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 7576.50515
Deduct 485 from 530 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 12:
The number 97 fits into 450 4 times, leaving a remainder of 62.
Write down 4 as next digit of the result. 
Result so far: 7576.505154
Subtract 388 from 450 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 13:
If we divide 620 by 97, we get 6 and a remainder of 38.
Use 6 as the next digit of our solution. 
Result so far: 7576.5051546
Subtracting 582 from 620 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 14:
The number 97 fits into 380 3 times, leaving a remainder of 89.
Use 3 as the next digit of our solution. 
Result so far: 7576.50515463
Deduct 291 from 380 and we're left with 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

The final outcome is 7576.50515463, with a leftover of 8.9e-08.