We're dividing 725921 by 9 
Our goal is to divide 725921 by 9.

Let's proceed to step 1:
9 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 9

On to step 2:
The number 9 fits into 72 8 times, leaving a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtracting 72 from 72 leaves us with 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 9

Advancing to step 3:
5 divided by 9 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 80.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 9

Let's proceed to step 4:
9 goes into 59 6 times with a remainder of 5.
Put 6 as the next digit of the answer. 
Result so far: 806.0
If we subtract 54 from 59, we get 5.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 9

On to step 5:
9 goes into 52 5 times with a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 8065.0
Subtract 45 from 52 to get 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 9

Advancing to step 6:
When dividing 71 by 9, we get 7 with a remainder of 8.
The next digit of our result is 7. 
Result so far: 80657.0
The remainder is 8 after subtracting 63 from 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
80 divided by 9 is 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 80657.8
Deduct 72 from 80 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
When dividing 80 by 9, we get 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 80657.88
Subtract 72 from 80 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 80657.88 with a remaining 0.008.