We're dividing 587382 by 13 
We want to figure out the number of times 587382 can be divided by 13.

Going ahead to step 1:
If we divide 5 by 13, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 13

Advancing to step 2:
If we divide 58 by 13, we get 4 and a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we subtract 52 from 58, we get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 13

Step 3:
If we divide 67 by 13, we get 5 and a remainder of 2.
The next digit of our result is 5. 
Result so far: 45.0
Subtract 65 from 67 to get 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 13

Let's proceed to step 4:
If we divide 23 by 13, we get 1 and a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 451.0
The remainder is 10 after subtracting 13 from 23.
Fetch the next digit (8) from the dividend, attach it to 10 and continue: 108 / 13

Let's proceed to step 5:
The number 13 fits into 108 8 times, leaving a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 4518.0
Subtracting 104 from 108 leaves us with 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 13

Let's proceed to step 6:
When dividing 42 by 13, we get 3 with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 45183.0
Subtract 39 from 42 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.

On to step 7:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 45183.2
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 8:
If we divide 40 by 13, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 45183.23
If we subtract 39 from 40, we get 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 9:
10 divided by 13 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 45183.23
If we subtract 0 from 10, 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.

Let's proceed to step 10:
When dividing 100 by 13, we get 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 45183.2307
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.

Going ahead to step 11:
When dividing 90 by 13, we get 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 45183.23076
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.

Step 12:
13 goes into 120 9 times with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 45183.230769
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.

On to step 13:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 45183.2307692
Subtracting 26 from 30 leaves us 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 14:
13 goes into 40 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 45183.23076923
Subtracting 39 from 40 leaves us 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.

After the division, we end up with 45183.23076923 and a remainder of 1e-09.