87036 ÷ 13 
Our goal is to divide 87036 by 13.

On to step 1:
If we divide 8 by 13, we get 0 and a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 13

Step 2:
The number 13 fits into 87 6 times, leaving a remainder of 9.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 78 from 87 and we're left with 9.
Fetch the next digit (0) from the dividend, attach it to 9 and continue: 90 / 13

On to step 3:
90 divided by 13 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 66.0
The remainder is 12 after subtracting 78 from 90.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 13

Advancing to step 4:
123 divided by 13 is 9 with a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 669.0
If we subtract 117 from 123, we get 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 13

Step 5:
66 divided by 13 is 5 with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 6695.0
If we take 65 away from 66, 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.

Advancing to step 6:
If we divide 10 by 13, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 6695.0
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.

On to step 7:
When dividing 100 by 13, we get 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 6695.07
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:
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: 6695.076
If we subtract 78 from 90, we 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.

Advancing to step 9:
When dividing 120 by 13, we get 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 6695.0769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 10:
If we divide 30 by 13, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 6695.07692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
When dividing 40 by 13, we get 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 6695.076923
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.

Step 12:
13 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 6695.076923
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.

Going ahead to step 13:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The next digit of our result is 7. 
Result so far: 6695.07692307
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.

The final result is 6695.07692307 with a remainder of 9e-09.