726614 ÷ 9 
Our goal is to divide 726614 by 9.

On to step 1:
7 divided by 9 is 0 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.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 9

Moving on to step 2:
9 goes into 72 8 times with a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 72 from 72 leaves us with 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 9

Let's proceed to step 3:
The number 9 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 80.0
If we subtract 0 from 6, we get 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 9

Step 4:
The number 9 fits into 66 7 times, leaving a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 807.0
Subtracting 63 from 66 leaves us with 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 9

Step 5:
When dividing 31 by 9, we get 3 with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 8073.0
Subtracting 27 from 31 leaves us with 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 9

Let's proceed to step 6:
44 divided by 9 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 80734.0
The remainder is 8 after subtracting 36 from 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
If we divide 80 by 9, we get 8 and a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 80734.8
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.

Moving on to step 8:
If we divide 80 by 9, we get 8 and a remainder of 8.
The next digit of our result is 8. 
Result so far: 80734.88
Subtracting 72 from 80 leaves us 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.

In conclusion, the division gives 80734.88 with a balance of 0.008.