We look at the division of 298409 by 31 
We want to divide 298409 by 31.

Advancing to step 1:
31 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
If we take 0 away from 2, we end up with 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 31

Going ahead to step 2:
If we divide 29 by 31, we get 0 and a remainder of 29.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 29 leaves us with 29.
Append the next digit (8) from the dividend to 29 and continue with: 298 / 31

Advancing to step 3:
When dividing 298 by 31, we get 9 with a remainder of 19.
The next digit of our result is 9. 
Result so far: 9.0
Deduct 279 from 298 and we're left with 19.
Include the next digit (4) from the dividend after 19, then repeat: 194 / 31

Step 4:
The number 31 fits into 194 6 times, leaving a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
The remainder is 8 after subtracting 186 from 194.
Take the next digit (0) from the dividend and append it to 8, then repeat: 80 / 31

On to step 5:
31 can be fit into 80 2 times, resulting in a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 962.0
If we take 62 away from 80, we end up with 18.
Take the next digit (9) from the dividend and append it to 18, then repeat: 189 / 31

Advancing to step 6:
The number 31 fits into 189 6 times, leaving a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 9626.0
If we subtract 186 from 189, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
30 divided by 31 is 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 9626.0
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
The number 31 fits into 300 9 times, leaving a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 9626.09
Deduct 279 from 300 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 9:
If we divide 210 by 31, we get 6 and a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 9626.096
The remainder is 24 after subtracting 186 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 10:
31 goes into 240 7 times with a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 9626.0967
If we take 217 away from 240, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 11:
If we divide 230 by 31, we get 7 and a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 9626.09677
Deduct 217 from 230 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The quotient of the division is 9626.09677, and the remainder is 1.3e-05.