Let's divide 173589 by 13
We want to figure out the number of times 173589 can be divided by 13.

On to step 1:
When dividing 1 by 13, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 13

Moving on to step 2:
13 can be fit into 17 1 times, resulting in a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 13 from 17 leaves us with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 13

Let's proceed to step 3:
When dividing 43 by 13, we get 3 with a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 13.0
The remainder is 4 after subtracting 39 from 43.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 13

On to step 4:
The number 13 fits into 45 3 times, leaving a remainder of 6.
The next digit of our result is 3. 
Result so far: 133.0
The remainder is 6 after subtracting 39 from 45.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 13

Step 5:
The number 13 fits into 68 5 times, leaving a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 1335.0
If we subtract 65 from 68, we get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 13

Advancing 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: 13353.0
Subtract 39 from 39 to 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.

Moving on to step 7:
13 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 13353.0
Subtract 0 from 0 to 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.

Step 8:
13 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 13353.0
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.

The final result is 13353.0 with a remainder of 0.0.