603515 divided by 13 
Our goal is to divide 603515 by 13.

On to step 1:
When dividing 6 by 13, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 13

On to step 2:
When dividing 60 by 13, we get 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 52 from 60 to get 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 13

Let's proceed to step 3:
13 goes into 83 6 times with a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 46.0
The remainder is 5 after subtracting 78 from 83.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 13

Going ahead to step 4:
When dividing 55 by 13, we get 4 with a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 464.0
Deduct 52 from 55 and we're left with 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 13

Advancing to step 5:
31 divided by 13 is 2 with a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 4642.0
If we subtract 26 from 31, we get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 13

Step 6:
13 can be fit into 55 4 times, resulting in a remainder of 3.
The next digit of our result is 4. 
Result so far: 46424.0
Subtracting 52 from 55 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
13 goes into 30 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 46424.2
Deduct 26 from 30 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 46424.23
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 9:
13 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 46424.23
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 10:
When dividing 100 by 13, we get 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 46424.2307
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 11:
90 divided by 13 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 46424.23076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 12:
120 divided by 13 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 46424.230769
Deduct 117 from 120 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 13:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 46424.2307692
If we take 26 away from 30, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 14:
40 divided by 13 is 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 46424.23076923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 46424.23076923 with a remaining 1e-09.