We divide 8678 by 86
We're looking to find how many times 86 goes into 8678.

Going ahead to step 1:
The number 86 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (6) from the dividend and append it to 8, then repeat: 86 / 86

Moving on to step 2:
86 can be fit into 86 1 times, resulting in a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 0 after subtracting 86 from 86.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 86

Step 3:
7 divided by 86 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 86

Moving on to step 4:
86 goes into 78 0 times with a remainder of 78.
The next digit of our result is 0. 
Result so far: 100.0
Subtracting 0 from 78 leaves us with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

On to step 5:
The number 86 fits into 780 9 times, leaving a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 100.9
If we take 774 away from 780, we end up 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.

Moving on to step 6:
60 divided by 86 is 0 with a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 100.9
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 7:
600 divided by 86 is 6 with a remainder of 84.
The number 6 becomes the next digit in our result. 
Result so far: 100.906
Deduct 516 from 600 and we're left with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Advancing to step 8:
840 divided by 86 is 9 with a remainder of 66.
The number 9 becomes the next digit in our result. 
Result so far: 100.9069
Subtracting 774 from 840 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 9:
86 goes into 660 7 times with a remainder of 58.
Record the quotient 7 as the next digit in the result. 
Result so far: 100.90697
Subtracting 602 from 660 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 10:
The number 86 fits into 580 6 times, leaving a remainder of 64.
Record the quotient 6 as the next digit in the result. 
Result so far: 100.906976
Deduct 516 from 580 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 11:
640 divided by 86 is 7 with a remainder of 38.
Write down 7 as next digit of the result. 
Result so far: 100.9069767
If we subtract 602 from 640, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 12:
86 goes into 380 4 times with a remainder of 36.
The next digit of our result is 4. 
Result so far: 100.90697674
If we take 344 away from 380, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

In conclusion, the division gives 100.90697674 with a balance of 3.6e-08.