We're dividing 498213 by 44 
We want to figure out the number of times 498213 can be divided by 44.

On to step 1:
If we divide 4 by 44, we get 0 and 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.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 44

Advancing to step 2:
If we divide 49 by 44, we get 1 and a remainder of 5.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 44 from 49 to get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 44

Step 3:
44 can be fit into 58 1 times, resulting in a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtracting 44 from 58 leaves us with 14.
Take the next digit (2) from the dividend and append it to 14, then repeat: 142 / 44

Moving on to step 4:
The number 44 fits into 142 3 times, leaving a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 113.0
Subtract 132 from 142 to get 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 44

Let's proceed to step 5:
44 goes into 101 2 times with a remainder of 13.
Put 2 as the next digit of the answer. 
Result so far: 1132.0
Subtract 88 from 101 to get 13.
Fetch the next digit (3) from the dividend, attach it to 13 and continue: 133 / 44

Step 6:
If we divide 133 by 44, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 11323.0
The remainder is 1 after subtracting 132 from 133.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
If we divide 10 by 44, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 11323.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
When dividing 100 by 44, we get 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 11323.02
If we take 88 away from 100, we end up 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.

Going ahead to step 9:
The number 44 fits into 120 2 times, leaving a remainder of 32.
The next digit of our result is 2. 
Result so far: 11323.022
If we take 88 away from 120, we end up 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.

In conclusion, the division gives 11323.022 with a balance of 0.0032.