654684 ÷ 9 
We want to figure out the number of times 654684 can be divided by 9.

On to step 1:
6 divided by 9 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 9

Going ahead to step 2:
The number 9 fits into 65 7 times, leaving a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we subtract 63 from 65, we get 2.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 9

Moving on to step 3:
The number 9 fits into 24 2 times, leaving a remainder of 6.
The next digit of our result is 2. 
Result so far: 72.0
If we subtract 18 from 24, we get 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 9

Moving on to step 4:
66 divided by 9 is 7 with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 727.0
If we take 63 away from 66, we end up with 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 9

Advancing to step 5:
9 goes into 38 4 times with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 7274.0
If we take 36 away from 38, we end up with 2.
Fetch the next digit (4) from the dividend, attach it to 2 and continue: 24 / 9

Let's proceed to step 6:
9 can be fit into 24 2 times, resulting in a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 72742.0
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:
The number 9 fits into 60 6 times, leaving a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 72742.6
Subtract 54 from 60 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
9 can be fit into 60 6 times, resulting in a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 72742.66
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.

Our division results in 72742.66 with a remaining 0.006.