We look at the division of 41279689 by 313 
Let's see how many times 313 fits into 41279689.

On to step 1:
The number 313 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 313

Going ahead to step 2:
313 goes into 41 0 times with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Bring next digit (2) of the dividend behind the 41 and repeat the process: 412 / 313

Step 3:
412 divided by 313 is 1 with a remainder of 99.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 313 from 412, we get 99.
Take the next digit (7) from the dividend and append it to 99, then repeat: 997 / 313

Advancing to step 4:
313 goes into 997 3 times with a remainder of 58.
The next digit of our result is 3. 
Result so far: 13.0
If we take 939 away from 997, we end up with 58.
Include the next digit (9) from the dividend after 58, then repeat: 589 / 313

Advancing to step 5:
The number 313 fits into 589 1 times, leaving a remainder of 276.
Write down 1 as next digit of the result. 
Result so far: 131.0
The remainder is 276 after subtracting 313 from 589.
Fetch the next digit (6) from the dividend, attach it to 276 and continue: 2766 / 313

Step 6:
313 goes into 2766 8 times with a remainder of 262.
Put 8 as the next digit of the answer. 
Result so far: 1318.0
Subtract 2504 from 2766 to get 262.
Take the next digit (8) from the dividend and append it to 262, then repeat: 2628 / 313

On to step 7:
The number 313 fits into 2628 8 times, leaving a remainder of 124.
The number 8 becomes the next digit in our result. 
Result so far: 13188.0
If we take 2504 away from 2628, we end up with 124.
Append the next digit (9) from the dividend to 124 and continue with: 1249 / 313

Advancing to step 8:
The number 313 fits into 1249 3 times, leaving a remainder of 310.
Write down 3 as next digit of the result. 
Result so far: 131883.0
The remainder is 310 after subtracting 939 from 1249.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

Let's proceed to step 9:
313 can be fit into 3100 9 times, resulting in a remainder of 283.
Record the quotient 9 as the next digit in the result. 
Result so far: 131883.9
Deduct 2817 from 3100 and we're left with 283.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2830, and continue the process.

Going ahead to step 10:
313 goes into 2830 9 times with a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 131883.99
The remainder is 13 after subtracting 2817 from 2830.
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 131883.99, and the remainder is 0.013.