52587 ÷ 13 
We want to figure out the number of times 52587 can be divided by 13.

Advancing to step 1:
If we divide 5 by 13, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 13

Step 2:
The number 13 fits into 52 4 times, leaving a remainder of 0.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 0 after subtracting 52 from 52.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 13

Moving on to step 3:
13 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 40.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 13

Going ahead to step 4:
When dividing 58 by 13, we get 4 with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 404.0
Deduct 52 from 58 and we're left with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 13

Going ahead to step 5:
13 can be fit into 67 5 times, resulting in a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 4045.0
Deduct 65 from 67 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 6:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 4045.1
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
70 divided by 13 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 4045.15
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
When dividing 50 by 13, we get 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 4045.153
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 9:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 4045.1538
Subtracting 104 from 110 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 10:
If we divide 60 by 13, we get 4 and a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 4045.15384
Subtract 52 from 60 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 11:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 4045.153846
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 12:
13 can be fit into 20 1 times, resulting in a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 4045.1538461
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 13:
13 goes into 70 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 4045.15384615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

After the division, we end up with 4045.15384615 and a remainder of 5e-09.