613509 divided by 13 
We're looking to find how many times 13 goes into 613509.

Advancing to step 1:
If we divide 6 by 13, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 13

Advancing to step 2:
The number 13 fits into 61 4 times, leaving a remainder of 9.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 52 away from 61, we end up with 9.
Take the next digit (3) from the dividend and append it to 9, then repeat: 93 / 13

Step 3:
93 divided by 13 is 7 with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 47.0
Subtract 91 from 93 to get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 13

Advancing to step 4:
When dividing 25 by 13, we get 1 with a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 471.0
If we take 13 away from 25, we end up with 12.
Include the next digit (0) from the dividend after 12, then repeat: 120 / 13

Going ahead to step 5:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 4719.0
The remainder is 3 after subtracting 117 from 120.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 13

Going ahead to step 6:
When dividing 39 by 13, we get 3 with a remainder of 0.
The next digit of our result is 3. 
Result so far: 47193.0
If we subtract 39 from 39, we 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.

Let's proceed to step 7:
13 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 47193.0
If we take 0 away from 0, 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.

Let's proceed to step 8:
If we divide 0 by 13, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 47193.0
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.

The final outcome is 47193.0, with a leftover of 0.0.