We look at the division of 338677 by 98 
We want to divide 338677 by 98.

Going ahead to step 1:
If we divide 3 by 98, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 98

Going ahead to step 2:
If we divide 33 by 98, we get 0 and a remainder of 33.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 33 to get 33.
Fetch the next digit (8) from the dividend, attach it to 33 and continue: 338 / 98

Moving on to step 3:
338 divided by 98 is 3 with a remainder of 44.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtract 294 from 338 to get 44.
Append the next digit (6) from the dividend to 44 and continue with: 446 / 98

Let's proceed to step 4:
446 divided by 98 is 4 with a remainder of 54.
Write down 4 as next digit of the result. 
Result so far: 34.0
Deduct 392 from 446 and we're left with 54.
Grab the next digit (7) from the dividend, add it to 54, then carry on: 547 / 98

Let's proceed to step 5:
The number 98 fits into 547 5 times, leaving a remainder of 57.
Use 5 as the next digit of our solution. 
Result so far: 345.0
If we subtract 490 from 547, we get 57.
Bring next digit (7) of the dividend behind the 57 and repeat the process: 577 / 98

Advancing to step 6:
If we divide 577 by 98, we get 5 and a remainder of 87.
The number 5 becomes the next digit in our result. 
Result so far: 3455.0
Deduct 490 from 577 and we're left with 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Let's proceed to step 7:
98 goes into 870 8 times with a remainder of 86.
The number 8 becomes the next digit in our result. 
Result so far: 3455.8
Subtract 784 from 870 to get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

On to step 8:
98 can be fit into 860 8 times, resulting in a remainder of 76.
The next digit of our result is 8. 
Result so far: 3455.88
Subtracting 784 from 860 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

In conclusion, the division gives 3455.88 with a balance of 0.076.