We look at the division of 721464 by 97 
We're looking to find how many times 97 goes into 721464.

Moving on to step 1:
97 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 97

Step 2:
When dividing 72 by 97, we get 0 with a remainder of 72.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 72 and we're left with 72.
Grab the next digit (1) from the dividend, add it to 72, then carry on: 721 / 97

Let's proceed to step 3:
When dividing 721 by 97, we get 7 with a remainder of 42.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 679 from 721 and we're left with 42.
Take the next digit (4) from the dividend and append it to 42, then repeat: 424 / 97

Going ahead to step 4:
424 divided by 97 is 4 with a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 74.0
If we take 388 away from 424, we end up with 36.
Grab the next digit (6) from the dividend, add it to 36, then carry on: 366 / 97

Moving on to step 5:
The number 97 fits into 366 3 times, leaving a remainder of 75.
Use 3 as the next digit of our solution. 
Result so far: 743.0
If we take 291 away from 366, we end up with 75.
Take the next digit (4) from the dividend and append it to 75, then repeat: 754 / 97

Going ahead to step 6:
97 goes into 754 7 times with a remainder of 75.
Record the quotient 7 as the next digit in the result. 
Result so far: 7437.0
If we subtract 679 from 754, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 7:
750 divided by 97 is 7 with a remainder of 71.
Record the quotient 7 as the next digit in the result. 
Result so far: 7437.7
If we take 679 away from 750, we end up with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Let's proceed to step 8:
97 can be fit into 710 7 times, resulting in a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 7437.77
If we subtract 679 from 710, we get 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 7437.77, and the remainder is 0.031.