We're dividing 589173 by 13 
We want to figure out the number of times 589173 can be divided by 13.

Step 1:
13 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 13

Advancing to step 2:
If we divide 58 by 13, we get 4 and a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 4.0
Deduct 52 from 58 and we're left with 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 13

Step 3:
13 can be fit into 69 5 times, resulting in a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 45.0
Deduct 65 from 69 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 13

Moving on to step 4:
41 divided by 13 is 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 453.0
The remainder is 2 after subtracting 39 from 41.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 13

On to step 5:
When dividing 27 by 13, we get 2 with a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 4532.0
Deduct 26 from 27 and we're left with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 13

Step 6:
The number 13 fits into 13 1 times, leaving a remainder of 0.
The next digit of our result is 1. 
Result so far: 45321.0
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.

Moving on to step 7:
13 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 45321.0
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.

Let's proceed to step 8:
0 divided by 13 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 45321.0
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 45321.0 with a balance of 0.0.