627753 ÷ 9 
We want to figure out the number of times 627753 can be divided by 9.

On to step 1:
9 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 9

Let's proceed to step 2:
9 goes into 62 6 times with a remainder of 8.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 54 from 62, we get 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 9

Step 3:
9 goes into 87 9 times with a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 69.0
If we take 81 away from 87, we end up with 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 9

Moving on to step 4:
The number 9 fits into 67 7 times, leaving a remainder of 4.
The next digit of our result is 7. 
Result so far: 697.0
If we take 63 away from 67, we end up with 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 9

Advancing to step 5:
45 divided by 9 is 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 6975.0
If we subtract 45 from 45, we get 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 9

Step 6:
3 divided by 9 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 69750.0
Deduct 0 from 3 and we're left 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.

Let's proceed to step 7:
The number 9 fits into 30 3 times, leaving a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 69750.3
The remainder is 3 after subtracting 27 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 8:
9 can be fit into 30 3 times, resulting in a remainder of 3.
The next digit of our result is 3. 
Result so far: 69750.33
Deduct 27 from 30 and we're left 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.

Our division results in 69750.33 with a remaining 0.003.