We look at the division of 257284 by 98 
We're looking to find how many times 98 goes into 257284.

Step 1:
98 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 98

Let's proceed to step 2:
25 divided by 98 is 0 with a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Grab the next digit (7) from the dividend, add it to 25, then carry on: 257 / 98

Let's proceed to step 3:
257 divided by 98 is 2 with a remainder of 61.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 196 from 257 leaves us with 61.
Grab the next digit (2) from the dividend, add it to 61, then carry on: 612 / 98

On to step 4:
When dividing 612 by 98, we get 6 with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
Subtract 588 from 612 to get 24.
Grab the next digit (8) from the dividend, add it to 24, then carry on: 248 / 98

Moving on to step 5:
When dividing 248 by 98, we get 2 with a remainder of 52.
Put 2 as the next digit of the answer. 
Result so far: 262.0
The remainder is 52 after subtracting 196 from 248.
Include the next digit (4) from the dividend after 52, then repeat: 524 / 98

Let's proceed to step 6:
The number 98 fits into 524 5 times, leaving a remainder of 34.
Put 5 as the next digit of the answer. 
Result so far: 2625.0
If we subtract 490 from 524, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 7:
98 can be fit into 340 3 times, resulting in a remainder of 46.
The number 3 becomes the next digit in our result. 
Result so far: 2625.3
Deduct 294 from 340 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 8:
The number 98 fits into 460 4 times, leaving a remainder of 68.
The next digit of our result is 4. 
Result so far: 2625.34
The remainder is 68 after subtracting 392 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 9:
The number 98 fits into 680 6 times, leaving a remainder of 92.
The number 6 becomes the next digit in our result. 
Result so far: 2625.346
If we subtract 588 from 680, we get 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Advancing to step 10:
When dividing 920 by 98, we get 9 with a remainder of 38.
Write down 9 as next digit of the result. 
Result so far: 2625.3469
If we take 882 away from 920, 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 11:
The number 98 fits into 380 3 times, leaving a remainder of 86.
Write down 3 as next digit of the result. 
Result so far: 2625.34693
Subtracting 294 from 380 leaves us with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Going ahead to step 12:
When dividing 860 by 98, we get 8 with a remainder of 76.
Write down 8 as next digit of the result. 
Result so far: 2625.346938
Subtract 784 from 860 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 13:
When dividing 760 by 98, we get 7 with a remainder of 74.
The next digit of our result is 7. 
Result so far: 2625.3469387
Subtracting 686 from 760 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Moving on to step 14:
98 goes into 740 7 times with a remainder of 54.
Put 7 as the next digit of the answer. 
Result so far: 2625.34693877
If we subtract 686 from 740, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The final result is 2625.34693877 with a remainder of 5.4e-08.