We're dividing 129678 by 86 
We're looking to find how many times 86 goes into 129678.

Going ahead to step 1:
When dividing 1 by 86, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 86

Advancing to step 2:
The number 86 fits into 12 0 times, leaving a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Take the next digit (9) from the dividend and append it to 12, then repeat: 129 / 86

Moving on to step 3:
86 goes into 129 1 times with a remainder of 43.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 86 from 129 and we're left with 43.
Take the next digit (6) from the dividend and append it to 43, then repeat: 436 / 86

Let's proceed to step 4:
86 can be fit into 436 5 times, resulting in a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Deduct 430 from 436 and we're left with 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 86

Advancing to step 5:
67 divided by 86 is 0 with a remainder of 67.
Use 0 as the next digit of our solution. 
Result so far: 150.0
Deduct 0 from 67 and we're left with 67.
Fetch the next digit (8) from the dividend, attach it to 67 and continue: 678 / 86

Let's proceed to step 6:
When dividing 678 by 86, we get 7 with a remainder of 76.
Put 7 as the next digit of the answer. 
Result so far: 1507.0
Subtracting 602 from 678 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Going ahead to step 7:
86 can be fit into 760 8 times, resulting in a remainder of 72.
Record the quotient 8 as the next digit in the result. 
Result so far: 1507.8
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.

Moving on to step 8:
If we divide 720 by 86, we get 8 and a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 1507.88
Deduct 688 from 720 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 1507.88, and the remainder is 0.032.