744477 ÷ 9 
We're looking to find how many times 9 goes into 744477.

Step 1:
The number 9 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 9

Moving on to step 2:
9 goes into 74 8 times with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we take 72 away from 74, we end up with 2.
Append the next digit (4) from the dividend to 2 and continue with: 24 / 9

Step 3:
If we divide 24 by 9, we get 2 and a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 82.0
Subtracting 18 from 24 leaves us with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 9

Going ahead to step 4:
9 can be fit into 64 7 times, resulting in a remainder of 1.
The next digit of our result is 7. 
Result so far: 827.0
The remainder is 1 after subtracting 63 from 64.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 9

On to step 5:
If we divide 17 by 9, we get 1 and a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 8271.0
If we subtract 9 from 17, we get 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 9

Going ahead to step 6:
87 divided by 9 is 9 with a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 82719.0
Deduct 81 from 87 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 7:
If we divide 60 by 9, we get 6 and a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 82719.6
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.

On to step 8:
9 goes into 60 6 times with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 82719.66
The remainder is 6 after subtracting 54 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The quotient of the division is 82719.66, and the remainder is 0.006.