87102 divided by 86 
We want to divide 87102 by 86.

On to step 1:
When dividing 8 by 86, we get 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 86

Moving on to step 2:
When dividing 87 by 86, we get 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 86 from 87, we get 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 86

Let's proceed to step 3:
The number 86 fits into 11 0 times, leaving a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 11, we end up with 11.
Take the next digit (0) from the dividend and append it to 11, then repeat: 110 / 86

Advancing to step 4:
86 goes into 110 1 times with a remainder of 24.
Put 1 as the next digit of the answer. 
Result so far: 101.0
Subtract 86 from 110 to get 24.
Bring next digit (2) of the dividend behind the 24 and repeat the process: 242 / 86

Moving on to step 5:
86 goes into 242 2 times with a remainder of 70.
The next digit of our result is 2. 
Result so far: 1012.0
If we take 172 away from 242, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 6:
When dividing 700 by 86, we get 8 with a remainder of 12.
The next digit of our result is 8. 
Result so far: 1012.8
Subtracting 688 from 700 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 7:
When dividing 120 by 86, we get 1 with a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 1012.81
Subtract 86 from 120 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 8:
340 divided by 86 is 3 with a remainder of 82.
Use 3 as the next digit of our solution. 
Result so far: 1012.813
The remainder is 82 after subtracting 258 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Advancing to step 9:
If we divide 820 by 86, we get 9 and a remainder of 46.
The next digit of our result is 9. 
Result so far: 1012.8139
Subtract 774 from 820 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 10:
If we divide 460 by 86, we get 5 and a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 1012.81395
Deduct 430 from 460 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 11:
86 goes into 300 3 times with a remainder of 42.
The number 3 becomes the next digit in our result. 
Result so far: 1012.813953
Deduct 258 from 300 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 12:
420 divided by 86 is 4 with a remainder of 76.
Record the quotient 4 as the next digit in the result. 
Result so far: 1012.8139534
Subtract 344 from 420 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 13:
86 goes into 760 8 times with a remainder of 72.
Write down 8 as next digit of the result. 
Result so far: 1012.81395348
Deduct 688 from 760 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

In conclusion, the division gives 1012.81395348 with a balance of 7.2e-08.