528303 divided by 44 
We're looking to find how many times 44 goes into 528303.

Going ahead to step 1:
If we divide 5 by 44, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 44

Going ahead to step 2:
The number 44 fits into 52 1 times, leaving a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 44 away from 52, we end up with 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 44

Moving on to step 3:
88 divided by 44 is 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we take 88 away from 88, we end up with 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 44

On to step 4:
The number 44 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 120.0
If we subtract 0 from 3, we get 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 44

Step 5:
30 divided by 44 is 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 1200.0
Deduct 0 from 30 and we're left with 30.
Take the next digit (3) from the dividend and append it to 30, then repeat: 303 / 44

Advancing to step 6:
303 divided by 44 is 6 with a remainder of 39.
Write down 6 as next digit of the result. 
Result so far: 12006.0
If we take 264 away from 303, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 7:
If we divide 390 by 44, we get 8 and a remainder of 38.
Record the quotient 8 as the next digit in the result. 
Result so far: 12006.8
If we take 352 away from 390, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 8:
The number 44 fits into 380 8 times, leaving a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 12006.88
Subtract 352 from 380 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 12006.88, and the remainder is 0.028.