We divide 11678 by 3
We want to divide 11678 by 3.

Moving on to step 1:
If we divide 1 by 3, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 3

On to step 2:
The number 3 fits into 11 3 times, leaving a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 9 from 11 to get 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 3

Moving on to step 3:
3 goes into 26 8 times with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 38.0
Subtracting 24 from 26 leaves us with 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 3

On to step 4:
If we divide 27 by 3, we get 9 and a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 389.0
If we subtract 27 from 27, we get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 3

Let's proceed to step 5:
The number 3 fits into 8 2 times, leaving a remainder of 2.
The next digit of our result is 2. 
Result so far: 3892.0
If we take 6 away from 8, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 6:
3 goes into 20 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 3892.6
Subtracting 18 from 20 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
3 goes into 20 6 times with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 3892.66
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 3892.66, with a leftover of 0.002.