604515 ÷ 13 
We're looking to find how many times 13 goes into 604515.

Advancing to step 1:
If we divide 6 by 13, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 13

Going ahead to step 2:
13 goes into 60 4 times with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 52 from 60, we get 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 13

Moving on to step 3:
When dividing 84 by 13, we get 6 with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 46.0
If we subtract 78 from 84, we get 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 13

On to step 4:
65 divided by 13 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 465.0
The remainder is 0 after subtracting 65 from 65.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 13

Advancing to step 5:
The number 13 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 4650.0
If we take 0 away from 1, we end up with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 13

Step 6:
15 divided by 13 is 1 with a remainder of 2.
The next digit of our result is 1. 
Result so far: 46501.0
If we take 13 away from 15, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
13 can be fit into 20 1 times, resulting in a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 46501.1
Subtracting 13 from 20 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 8:
When dividing 70 by 13, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 46501.15
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
13 goes into 50 3 times with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 46501.153
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 10:
13 goes into 110 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 46501.1538
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 11:
13 goes into 60 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 46501.15384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 12:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 46501.153846
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 46501.1538461
Deduct 13 from 20 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 14:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 46501.15384615
Deduct 65 from 70 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 46501.15384615 with a remaining 5e-09.