498978 ÷ 44 
We want to figure out the number of times 498978 can be divided by 44.

Step 1:
4 divided by 44 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 44

Moving on to step 2:
49 divided by 44 is 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 44 from 49 leaves us with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 44

Going ahead to step 3:
44 goes into 58 1 times with a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we subtract 44 from 58, we get 14.
Include the next digit (9) from the dividend after 14, then repeat: 149 / 44

Step 4:
If we divide 149 by 44, we get 3 and a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 113.0
Subtracting 132 from 149 leaves us with 17.
Grab the next digit (7) from the dividend, add it to 17, then carry on: 177 / 44

Moving on to step 5:
177 divided by 44 is 4 with a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 1134.0
The remainder is 1 after subtracting 176 from 177.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 44

Let's proceed to step 6:
When dividing 18 by 44, we get 0 with a remainder of 18.
The number 0 becomes the next digit in our result. 
Result so far: 11340.0
The remainder is 18 after subtracting 0 from 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 7:
44 can be fit into 180 4 times, resulting in a remainder of 4.
The next digit of our result is 4. 
Result so far: 11340.4
If we subtract 176 from 180, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
44 can be fit into 40 0 times, resulting in a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 11340.4
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
44 can be fit into 400 9 times, resulting in a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 11340.409
Subtract 396 from 400 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
44 can be fit into 40 0 times, resulting in a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 11340.409
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 11:
If we divide 400 by 44, we get 9 and a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 11340.40909
Subtract 396 from 400 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 12:
When dividing 40 by 44, we get 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 11340.40909
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 13:
The number 44 fits into 400 9 times, leaving a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 11340.4090909
Subtract 396 from 400 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 14:
44 can be fit into 40 0 times, resulting in a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 11340.4090909
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 11340.4090909 with a remainder of 4e-08.