We look at the division of 269 by 98 
Let's see how many times 98 fits into 269.

Advancing to step 1:
When dividing 2 by 98, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 98

Step 2:
98 can be fit into 26 0 times, resulting in a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 26, we end up with 26.
Grab the next digit (9) from the dividend, add it to 26, then carry on: 269 / 98

Going ahead to step 3:
If we divide 269 by 98, we get 2 and a remainder of 73.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 73 after subtracting 196 from 269.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Let's proceed to step 4:
98 can be fit into 730 7 times, resulting in a remainder of 44.
Write down 7 as next digit of the result. 
Result so far: 2.7
If we take 686 away from 730, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 5:
The number 98 fits into 440 4 times, leaving a remainder of 48.
Write down 4 as next digit of the result. 
Result so far: 2.74
If we subtract 392 from 440, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 6:
98 can be fit into 480 4 times, resulting in a remainder of 88.
Write down 4 as next digit of the result. 
Result so far: 2.744
Subtract 392 from 480 to get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

The final result is 2.744 with a remainder of 0.0088.