We look at the division of 581188 by 13 
We're looking to find how many times 13 goes into 581188.

Let's proceed to step 1:
When dividing 5 by 13, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 13

Let's proceed to step 2:
58 divided by 13 is 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtract 52 from 58 to get 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 13

Let's proceed to step 3:
If we divide 61 by 13, we get 4 and a remainder of 9.
Use 4 as the next digit of our solution. 
Result so far: 44.0
Deduct 52 from 61 and we're left with 9.
Append the next digit (1) from the dividend to 9 and continue with: 91 / 13

Let's proceed to step 4:
The number 13 fits into 91 7 times, leaving a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 447.0
If we subtract 91 from 91, we get 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 13

Advancing to step 5:
8 divided by 13 is 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 4470.0
Deduct 0 from 8 and we're left with 8.
Fetch the next digit (8) from the dividend, attach it to 8 and continue: 88 / 13

Advancing to step 6:
When dividing 88 by 13, we get 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 44706.0
If we subtract 78 from 88, 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.

On to step 7:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 44706.7
Deduct 91 from 100 and we're left 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.

Going ahead to step 8:
If we divide 90 by 13, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 44706.76
Subtract 78 from 90 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 9:
120 divided by 13 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 44706.769
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.

Let's proceed to step 10:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 44706.7692
Deduct 26 from 30 and we're left 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.

Moving on to step 11:
If we divide 40 by 13, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 44706.76923
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.

Let's proceed to step 12:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 44706.76923
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 13:
If we divide 100 by 13, we get 7 and a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 44706.7692307
If we take 91 away from 100, we end up 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.

Advancing to step 14:
13 goes into 90 6 times with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 44706.76923076
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 quotient of the division is 44706.76923076, and the remainder is 1.2e-08.