We look at the division of 448903 by 13 
We're looking to find how many times 13 goes into 448903.

On to step 1:
If we divide 4 by 13, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 13

Going ahead to step 2:
When dividing 44 by 13, we get 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 5 after subtracting 39 from 44.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 13

On to step 3:
13 goes into 58 4 times with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 34.0
Subtracting 52 from 58 leaves us with 6.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 13

On to step 4:
When dividing 69 by 13, we get 5 with a remainder of 4.
The next digit of our result is 5. 
Result so far: 345.0
If we subtract 65 from 69, we get 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 13

Advancing to step 5:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 3453.0
Subtract 39 from 40 to get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 13

Step 6:
If we divide 13 by 13, we get 1 and a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 34531.0
If we take 13 away from 13, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 7:
The number 13 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 34531.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
13 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 34531.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 34531.0 with a balance of 0.0.