We look at the division of 4480313 by 513 
We're looking to find how many times 513 goes into 4480313.

Let's proceed to step 1:
4 divided by 513 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (4) from the dividend to 4 and continue with: 44 / 513

On to step 2:
513 can be fit into 44 0 times, resulting in a remainder of 44.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 44, we end up with 44.
Bring next digit (8) of the dividend behind the 44 and repeat the process: 448 / 513

Advancing to step 3:
513 goes into 448 0 times with a remainder of 448.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 448 to get 448.
Fetch the next digit (0) from the dividend, attach it to 448 and continue: 4480 / 513

Step 4:
513 goes into 4480 8 times with a remainder of 376.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 4104 from 4480 leaves us with 376.
Fetch the next digit (3) from the dividend, attach it to 376 and continue: 3763 / 513

Moving on to step 5:
The number 513 fits into 3763 7 times, leaving a remainder of 172.
Put 7 as the next digit of the answer. 
Result so far: 87.0
Subtract 3591 from 3763 to get 172.
Include the next digit (1) from the dividend after 172, then repeat: 1721 / 513

On to step 6:
If we divide 1721 by 513, we get 3 and a remainder of 182.
Record the quotient 3 as the next digit in the result. 
Result so far: 873.0
If we take 1539 away from 1721, we end up with 182.
Grab the next digit (3) from the dividend, add it to 182, then carry on: 1823 / 513

Going ahead to step 7:
If we divide 1823 by 513, we get 3 and a remainder of 284.
The next digit of our result is 3. 
Result so far: 8733.0
Subtract 1539 from 1823 to get 284.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2840, and continue the process.

Let's proceed to step 8:
The number 513 fits into 2840 5 times, leaving a remainder of 275.
Record the quotient 5 as the next digit in the result. 
Result so far: 8733.5
Subtract 2565 from 2840 to get 275.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2750, and continue the process.

Step 9:
513 goes into 2750 5 times with a remainder of 185.
The next digit of our result is 5. 
Result so far: 8733.55
If we take 2565 away from 2750, we end up with 185.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1850, and continue the process.

The final result is 8733.55 with a remainder of 0.185.