86682 ÷ 86 
We want to figure out the number of times 86682 can be divided by 86.

Moving on to step 1:
86 goes into 8 0 times with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 86

Advancing to step 2:
86 divided by 86 is 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 0 after subtracting 86 from 86.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 86

On to step 3:
When dividing 6 by 86, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 6, we get 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 86

Advancing to step 4:
68 divided by 86 is 0 with a remainder of 68.
Write down 0 as next digit of the result. 
Result so far: 100.0
Subtract 0 from 68 to get 68.
Grab the next digit (2) from the dividend, add it to 68, then carry on: 682 / 86

Advancing to step 5:
682 divided by 86 is 7 with a remainder of 80.
The next digit of our result is 7. 
Result so far: 1007.0
The remainder is 80 after subtracting 602 from 682.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 6:
When dividing 800 by 86, we get 9 with a remainder of 26.
The number 9 becomes the next digit in our result. 
Result so far: 1007.9
Subtract 774 from 800 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 7:
The number 86 fits into 260 3 times, leaving a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 1007.93
If we subtract 258 from 260, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
86 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 1007.93
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
When dividing 200 by 86, we get 2 with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 1007.9302
If we take 172 away from 200, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 10:
When dividing 280 by 86, we get 3 with a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 1007.93023
Deduct 258 from 280 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 11:
86 goes into 220 2 times with a remainder of 48.
The number 2 becomes the next digit in our result. 
Result so far: 1007.930232
Deduct 172 from 220 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 12:
If we divide 480 by 86, we get 5 and a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 1007.9302325
The remainder is 50 after subtracting 430 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 13:
86 goes into 500 5 times with a remainder of 70.
Record the quotient 5 as the next digit in the result. 
Result so far: 1007.93023255
Deduct 430 from 500 and we're left 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.

After the division, we end up with 1007.93023255 and a remainder of 7e-08.