We're dividing 8688 by 79 
We're looking to find how many times 79 goes into 8688.

Going ahead to step 1:
The number 79 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 79

Let's proceed to step 2:
The number 79 fits into 86 1 times, leaving a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 79 away from 86, we end up with 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 79

Going ahead to step 3:
78 divided by 79 is 0 with a remainder of 78.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 78, we end up with 78.
Include the next digit (8) from the dividend after 78, then repeat: 788 / 79

Let's proceed to step 4:
The number 79 fits into 788 9 times, leaving a remainder of 77.
Use 9 as the next digit of our solution. 
Result so far: 109.0
If we subtract 711 from 788, we get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Going ahead to step 5:
79 can be fit into 770 9 times, resulting in a remainder of 59.
Put 9 as the next digit of the answer. 
Result so far: 109.9
If we take 711 away from 770, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Going ahead to step 6:
590 divided by 79 is 7 with a remainder of 37.
Write down 7 as next digit of the result. 
Result so far: 109.97
If we subtract 553 from 590, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 7:
79 goes into 370 4 times with a remainder of 54.
Record the quotient 4 as the next digit in the result. 
Result so far: 109.974
If we subtract 316 from 370, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 8:
79 goes into 540 6 times with a remainder of 66.
Put 6 as the next digit of the answer. 
Result so far: 109.9746
If we take 474 away from 540, we end up 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.

Step 9:
When dividing 660 by 79, we get 8 with a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 109.97468
The remainder is 28 after subtracting 632 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 10:
79 can be fit into 280 3 times, resulting in a remainder of 43.
The next digit of our result is 3. 
Result so far: 109.974683
Deduct 237 from 280 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 11:
When dividing 430 by 79, we get 5 with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 109.9746835
Subtract 395 from 430 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 12:
If we divide 350 by 79, we get 4 and a remainder of 34.
Use 4 as the next digit of our solution. 
Result so far: 109.97468354
Deduct 316 from 350 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

After the division, we end up with 109.97468354 and a remainder of 3.4e-08.