We look at the division of 13682 by 8 
We want to divide 13682 by 8.

Let's proceed to step 1:
8 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 8

Moving on to step 2:
If we divide 13 by 8, we get 1 and a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 5 after subtracting 8 from 13.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 8

Let's proceed to step 3:
8 goes into 56 7 times with a remainder of 0.
Put 7 as the next digit of the answer. 
Result so far: 17.0
Deduct 56 from 56 and we're left with 0.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 8

Going ahead to step 4:
When dividing 8 by 8, we get 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 171.0
If we subtract 8 from 8, we get 0.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 8

On to step 5:
If we divide 2 by 8, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 1710.0
The remainder is 2 after subtracting 0 from 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 6:
8 can be fit into 20 2 times, resulting in a remainder of 4.
The next digit of our result is 2. 
Result so far: 1710.2
If we take 16 away from 20, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
40 divided by 8 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 1710.25
The remainder is 0 after subtracting 40 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
When dividing 0 by 8, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 1710.25
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
8 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 1710.25
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 1710.25, and the remainder is 0.0.