87255 divided by 13 
We want to figure out the number of times 87255 can be divided by 13.

Advancing to step 1:
When dividing 8 by 13, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 13

Moving on to step 2:
13 goes into 87 6 times with a remainder of 9.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we take 78 away from 87, we end up with 9.
Take the next digit (2) from the dividend and append it to 9, then repeat: 92 / 13

Advancing to step 3:
If we divide 92 by 13, we get 7 and a remainder of 1.
The next digit of our result is 7. 
Result so far: 67.0
Deduct 91 from 92 and we're left with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 13

On to step 4:
13 goes into 15 1 times with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 671.0
Subtract 13 from 15 to get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 13

Advancing to step 5:
25 divided by 13 is 1 with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 6711.0
If we take 13 away from 25, 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.

Let's proceed to step 6:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 6711.9
Subtracting 117 from 120 leaves us with 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 7:
If we divide 30 by 13, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 6711.92
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.

Let's proceed to step 8:
When dividing 40 by 13, we get 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 6711.923
If we take 39 away from 40, we end up 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.

Moving on to step 9:
When dividing 10 by 13, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 6711.923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 10:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 6711.92307
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.

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: 6711.923076
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.

Step 12:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 6711.9230769
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.

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: 6711.92307692
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.

Our division results in 6711.92307692 with a remaining 4e-09.