We look at the division of 680499 by 44 
Let's see how many times 44 fits into 680499.

On to step 1:
When dividing 6 by 44, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 44

Let's proceed to step 2:
44 can be fit into 68 1 times, resulting in a remainder of 24.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 24 after subtracting 44 from 68.
Append the next digit (0) from the dividend to 24 and continue with: 240 / 44

Let's proceed to step 3:
The number 44 fits into 240 5 times, leaving a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
If we take 220 away from 240, we end up with 20.
Grab the next digit (4) from the dividend, add it to 20, then carry on: 204 / 44

Going ahead to step 4:
The number 44 fits into 204 4 times, leaving a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 154.0
The remainder is 28 after subtracting 176 from 204.
Include the next digit (9) from the dividend after 28, then repeat: 289 / 44

Advancing to step 5:
The number 44 fits into 289 6 times, leaving a remainder of 25.
Write down 6 as next digit of the result. 
Result so far: 1546.0
Deduct 264 from 289 and we're left with 25.
Append the next digit (9) from the dividend to 25 and continue with: 259 / 44

Advancing to step 6:
44 goes into 259 5 times with a remainder of 39.
Use 5 as the next digit of our solution. 
Result so far: 15465.0
Subtracting 220 from 259 leaves us 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.

Step 7:
44 goes into 390 8 times with a remainder of 38.
The number 8 becomes the next digit in our result. 
Result so far: 15465.8
Subtracting 352 from 390 leaves us 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.

On to step 8:
The number 44 fits into 380 8 times, leaving a remainder of 28.
The next digit of our result is 8. 
Result so far: 15465.88
Deduct 352 from 380 and we're left with 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 15465.88, and the remainder is 0.028.