We look at the division of 44213433 by 497 
We're looking to find how many times 497 goes into 44213433.

Advancing to step 1:
When dividing 4 by 497, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 497

On to step 2:
The number 497 fits into 44 0 times, leaving a remainder of 44.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 44 to get 44.
Include the next digit (2) from the dividend after 44, then repeat: 442 / 497

On to step 3:
If we divide 442 by 497, we get 0 and a remainder of 442.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 442, we get 442.
Bring next digit (1) of the dividend behind the 442 and repeat the process: 4421 / 497

Step 4:
The number 497 fits into 4421 8 times, leaving a remainder of 445.
The next digit of our result is 8. 
Result so far: 8.0
The remainder is 445 after subtracting 3976 from 4421.
Include the next digit (3) from the dividend after 445, then repeat: 4453 / 497

Advancing to step 5:
4453 divided by 497 is 8 with a remainder of 477.
Record the quotient 8 as the next digit in the result. 
Result so far: 88.0
If we take 3976 away from 4453, we end up with 477.
Fetch the next digit (4) from the dividend, attach it to 477 and continue: 4774 / 497

Step 6:
When dividing 4774 by 497, we get 9 with a remainder of 301.
Use 9 as the next digit of our solution. 
Result so far: 889.0
Subtracting 4473 from 4774 leaves us with 301.
Append the next digit (3) from the dividend to 301 and continue with: 3013 / 497

Moving on to step 7:
The number 497 fits into 3013 6 times, leaving a remainder of 31.
Record the quotient 6 as the next digit in the result. 
Result so far: 8896.0
Subtracting 2982 from 3013 leaves us with 31.
Fetch the next digit (3) from the dividend, attach it to 31 and continue: 313 / 497

Moving on to step 8:
497 can be fit into 313 0 times, resulting in a remainder of 313.
Use 0 as the next digit of our solution. 
Result so far: 88960.0
The remainder is 313 after subtracting 0 from 313.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3130, and continue the process.

Step 9:
When dividing 3130 by 497, we get 6 with a remainder of 148.
The next digit of our result is 6. 
Result so far: 88960.6
If we take 2982 away from 3130, we end up with 148.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1480, and continue the process.

Let's proceed to step 10:
If we divide 1480 by 497, we get 2 and a remainder of 486.
Record the quotient 2 as the next digit in the result. 
Result so far: 88960.62
Deduct 994 from 1480 and we're left with 486.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4860, and continue the process.

Going ahead to step 11:
497 goes into 4860 9 times with a remainder of 387.
Record the quotient 9 as the next digit in the result. 
Result so far: 88960.629
Subtract 4473 from 4860 to get 387.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3870, and continue the process.

Going ahead to step 12:
497 can be fit into 3870 7 times, resulting in a remainder of 391.
The number 7 becomes the next digit in our result. 
Result so far: 88960.6297
Subtract 3479 from 3870 to get 391.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3910, and continue the process.

On to step 13:
497 can be fit into 3910 7 times, resulting in a remainder of 431.
Put 7 as the next digit of the answer. 
Result so far: 88960.62977
If we take 3479 away from 3910, we end up with 431.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4310, and continue the process.

The final result is 88960.62977 with a remainder of 0.000431.