98144344 ÷ 498 
We want to figure out the number of times 98144344 can be divided by 498.

Step 1:
9 divided by 498 is 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Take the next digit (8) from the dividend and append it to 9, then repeat: 98 / 498

On to step 2:
If we divide 98 by 498, we get 0 and a remainder of 98.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 98 leaves us with 98.
Bring next digit (1) of the dividend behind the 98 and repeat the process: 981 / 498

Moving on to step 3:
981 divided by 498 is 1 with a remainder of 483.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 483 after subtracting 498 from 981.
Take the next digit (4) from the dividend and append it to 483, then repeat: 4834 / 498

Going ahead to step 4:
When dividing 4834 by 498, we get 9 with a remainder of 352.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
Subtracting 4482 from 4834 leaves us with 352.
Bring next digit (4) of the dividend behind the 352 and repeat the process: 3524 / 498

Let's proceed to step 5:
If we divide 3524 by 498, we get 7 and a remainder of 38.
Record the quotient 7 as the next digit in the result. 
Result so far: 197.0
If we subtract 3486 from 3524, we get 38.
Fetch the next digit (3) from the dividend, attach it to 38 and continue: 383 / 498

Step 6:
498 can be fit into 383 0 times, resulting in a remainder of 383.
Record the quotient 0 as the next digit in the result. 
Result so far: 1970.0
If we take 0 away from 383, we end up with 383.
Grab the next digit (4) from the dividend, add it to 383, then carry on: 3834 / 498

Moving on to step 7:
The number 498 fits into 3834 7 times, leaving a remainder of 348.
The next digit of our result is 7. 
Result so far: 19707.0
Subtracting 3486 from 3834 leaves us with 348.
Take the next digit (4) from the dividend and append it to 348, then repeat: 3484 / 498

Advancing to step 8:
If we divide 3484 by 498, we get 6 and a remainder of 496.
The next digit of our result is 6. 
Result so far: 197076.0
If we take 2988 away from 3484, we end up with 496.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4960, and continue the process.

Going ahead to step 9:
If we divide 4960 by 498, we get 9 and a remainder of 478.
Record the quotient 9 as the next digit in the result. 
Result so far: 197076.9
If we take 4482 away from 4960, we end up with 478.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4780, and continue the process.

Step 10:
4780 divided by 498 is 9 with a remainder of 298.
Use 9 as the next digit of our solution. 
Result so far: 197076.99
Subtracting 4482 from 4780 leaves us with 298.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2980, and continue the process.

The final result is 197076.99 with a remainder of 0.298.