We look at the division of 497333 by 44 
We're looking to find how many times 44 goes into 497333.

Let's proceed to step 1:
4 divided by 44 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 44

Let's proceed to step 2:
44 goes into 49 1 times with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 44 from 49, we get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 44

Let's proceed to step 3:
When dividing 57 by 44, we get 1 with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we take 44 away from 57, we end up with 13.
Fetch the next digit (3) from the dividend, attach it to 13 and continue: 133 / 44

Going ahead to step 4:
44 goes into 133 3 times with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 113.0
Subtracting 132 from 133 leaves us with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 44

Step 5:
The number 44 fits into 13 0 times, leaving a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 1130.0
The remainder is 13 after subtracting 0 from 13.
Bring next digit (3) of the dividend behind the 13 and repeat the process: 133 / 44

Going ahead to step 6:
The number 44 fits into 133 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 11303.0
Subtract 132 from 133 to get 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:
44 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 11303.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
44 goes into 100 2 times with a remainder of 12.
The next digit of our result is 2. 
Result so far: 11303.02
Subtracting 88 from 100 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 9:
44 goes into 120 2 times with a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 11303.022
Deduct 88 from 120 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 11303.022 and a remainder of 0.0032.