We look at the division of 654414 by 9 
We're looking to find how many times 9 goes into 654414.

Advancing to step 1:
When dividing 6 by 9, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 9

Going ahead to step 2:
When dividing 65 by 9, we get 7 with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 63 from 65, we get 2.
Append the next digit (4) from the dividend to 2 and continue with: 24 / 9

Going ahead to step 3:
If we divide 24 by 9, we get 2 and a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 72.0
The remainder is 6 after subtracting 18 from 24.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 9

On to step 4:
The number 9 fits into 64 7 times, leaving a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 727.0
Subtract 63 from 64 to get 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 9

Advancing to step 5:
11 divided by 9 is 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 7271.0
Deduct 9 from 11 and we're left with 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 9

Moving on to step 6:
When dividing 24 by 9, we get 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 72712.0
The remainder is 6 after subtracting 18 from 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
When dividing 60 by 9, we get 6 with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 72712.6
Deduct 54 from 60 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
When dividing 60 by 9, we get 6 with a remainder of 6.
The next digit of our result is 6. 
Result so far: 72712.66
Deduct 54 from 60 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 72712.66 with a balance of 0.006.