Let's divide 585179 by 13
Our goal is to divide 585179 by 13.

Step 1:
13 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 13

Advancing to step 2:
The number 13 fits into 58 4 times, leaving a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 4.0
The remainder is 6 after subtracting 52 from 58.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 13

Step 3:
13 can be fit into 65 5 times, resulting in a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 45.0
Deduct 65 from 65 and we're left with 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 13

Let's proceed to step 4:
When dividing 1 by 13, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 450.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 13

Moving on to step 5:
13 goes into 17 1 times with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 4501.0
Deduct 13 from 17 and we're left with 4.
Fetch the next digit (9) from the dividend, attach it to 4 and continue: 49 / 13

Moving on to step 6:
13 can be fit into 49 3 times, resulting in a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 45013.0
If we subtract 39 from 49, we 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.

Moving on to step 7:
13 goes into 100 7 times with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 45013.7
If we subtract 91 from 100, we 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.

Moving on to step 8:
90 divided by 13 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 45013.76
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 9:
120 divided by 13 is 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 45013.769
If we subtract 117 from 120, we 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.

Moving on to step 10:
When dividing 30 by 13, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 45013.7692
If we take 26 away from 30, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 11:
40 divided by 13 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 45013.76923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 12:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 45013.76923
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.

On to step 13:
13 goes into 100 7 times with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 45013.7692307
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 14:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 45013.76923076
If we take 78 away from 90, we end up 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.

The final result is 45013.76923076 with a remainder of 1.2e-08.