We're dividing 303 by 98 
We're looking to find how many times 98 goes into 303.

Step 1:
98 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 98

Step 2:
98 goes into 30 0 times with a remainder of 30.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 30 after subtracting 0 from 30.
Take the next digit (3) from the dividend and append it to 30, then repeat: 303 / 98

Advancing to step 3:
98 goes into 303 3 times with a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 9 after subtracting 294 from 303.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 4:
If we divide 90 by 98, we get 0 and a remainder of 90.
The number 0 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 90 after subtracting 0 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Advancing to step 5:
98 goes into 900 9 times with a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 3.09
If we subtract 882 from 900, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 6:
If we divide 180 by 98, we get 1 and a remainder of 82.
The number 1 becomes the next digit in our result. 
Result so far: 3.091
Deduct 98 from 180 and we're left with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Let's proceed to step 7:
98 goes into 820 8 times with a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 3.0918
Subtract 784 from 820 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 8:
When dividing 360 by 98, we get 3 with a remainder of 66.
The number 3 becomes the next digit in our result. 
Result so far: 3.09183
The remainder is 66 after subtracting 294 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 9:
When dividing 660 by 98, we get 6 with a remainder of 72.
Use 6 as the next digit of our solution. 
Result so far: 3.091836
The remainder is 72 after subtracting 588 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 10:
The number 98 fits into 720 7 times, leaving a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 3.0918367
The remainder is 34 after subtracting 686 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 11:
If we divide 340 by 98, we get 3 and a remainder of 46.
Put 3 as the next digit of the answer. 
Result so far: 3.09183673
Subtract 294 from 340 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

The final result is 3.09183673 with a remainder of 4.6e-08.