We look at the division of 721755 by 97 
We're looking to find how many times 97 goes into 721755.

Let's proceed to step 1:
97 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 97

On to step 2:
If we divide 72 by 97, we get 0 and a remainder of 72.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 72 to get 72.
Fetch the next digit (1) from the dividend, attach it to 72 and continue: 721 / 97

Advancing to step 3:
The number 97 fits into 721 7 times, leaving a remainder of 42.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 679 from 721 and we're left with 42.
Append the next digit (7) from the dividend to 42 and continue with: 427 / 97

Going ahead to step 4:
97 goes into 427 4 times with a remainder of 39.
The next digit of our result is 4. 
Result so far: 74.0
The remainder is 39 after subtracting 388 from 427.
Include the next digit (5) from the dividend after 39, then repeat: 395 / 97

Moving on to step 5:
If we divide 395 by 97, we get 4 and a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 744.0
Subtracting 388 from 395 leaves us with 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 97

Let's proceed to step 6:
The number 97 fits into 75 0 times, leaving a remainder of 75.
Put 0 as the next digit of the answer. 
Result so far: 7440.0
Subtracting 0 from 75 leaves us with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Moving on to step 7:
750 divided by 97 is 7 with a remainder of 71.
Write down 7 as next digit of the result. 
Result so far: 7440.7
If we subtract 679 from 750, we get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Advancing to step 8:
710 divided by 97 is 7 with a remainder of 31.
Write down 7 as next digit of the result. 
Result so far: 7440.77
Deduct 679 from 710 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The quotient of the division is 7440.77, and the remainder is 0.031.