We're dividing 604577 by 13 
Let's see how many times 13 fits into 604577.

On to step 1:
13 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
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

Going ahead to step 2:
When dividing 60 by 13, we get 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 8 after subtracting 52 from 60.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 13

On to step 3:
84 divided by 13 is 6 with a remainder of 6.
The next digit of our result is 6. 
Result so far: 46.0
Deduct 78 from 84 and we're left with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 13

Advancing to step 4:
If we divide 65 by 13, we get 5 and a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 465.0
Deduct 65 from 65 and we're left with 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 13

On to step 5:
7 divided by 13 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 4650.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 13

Going ahead to step 6:
When dividing 77 by 13, we get 5 with a remainder of 12.
The number 5 becomes the next digit in our result. 
Result so far: 46505.0
Subtract 65 from 77 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 46505.9
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.

Step 8:
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: 46505.92
If we subtract 26 from 30, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 46505.923
Deduct 39 from 40 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 10:
When dividing 10 by 13, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 46505.923
Subtract 0 from 10 to 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.

Advancing to step 11:
13 goes into 100 7 times with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 46505.92307
Subtract 91 from 100 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 12:
The number 13 fits into 90 6 times, leaving a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 46505.923076
Subtracting 78 from 90 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 13:
The number 13 fits into 120 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 46505.9230769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 14:
13 goes into 30 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 46505.92307692
If we subtract 26 from 30, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 46505.92307692 with a balance of 4e-09.