We're dividing 444403 by 9 
We're looking to find how many times 9 goes into 444403.

Let's proceed to step 1:
9 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 9

Step 2:
When dividing 44 by 9, we get 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 36 from 44 leaves us with 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 9

Let's proceed to step 3:
The number 9 fits into 84 9 times, leaving a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 49.0
Subtract 81 from 84 to get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 9

Moving on to step 4:
9 goes into 34 3 times with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 493.0
Deduct 27 from 34 and we're left with 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 9

Moving on to step 5:
When dividing 70 by 9, we get 7 with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 4937.0
If we take 63 away from 70, we end up with 7.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 9

Going ahead to step 6:
If we divide 73 by 9, we get 8 and a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 49378.0
If we take 72 away from 73, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
When dividing 10 by 9, we get 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 49378.1
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 8:
9 can be fit into 10 1 times, resulting in a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 49378.11
Subtracting 9 from 10 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 49378.11 with a balance of 0.001.