We're dividing 653925 by 9 
We're looking to find how many times 9 goes into 653925.

Step 1:
9 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the 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

On to step 2:
The number 9 fits into 65 7 times, leaving a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 63 from 65 and we're left with 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 9

Moving on to step 3:
If we divide 23 by 9, we get 2 and a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 72.0
If we take 18 away from 23, we end up with 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 9

Going ahead to step 4:
If we divide 59 by 9, we get 6 and a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 726.0
Subtract 54 from 59 to get 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 9

Let's proceed to step 5:
When dividing 52 by 9, we get 5 with a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 7265.0
If we take 45 away from 52, we end up with 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 9

Step 6:
When dividing 75 by 9, we get 8 with a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 72658.0
If we take 72 away from 75, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
The number 9 fits into 30 3 times, leaving a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 72658.3
Subtracting 27 from 30 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 8:
9 goes into 30 3 times with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 72658.33
If we subtract 27 from 30, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 72658.33 with a balance of 0.003.