We look at the division of 132679 by 3 
We want to divide 132679 by 3.

On to step 1:
The number 3 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 3

Let's proceed to step 2:
3 goes into 13 4 times with a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 4.0
The remainder is 1 after subtracting 12 from 13.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 3

Moving on to step 3:
3 can be fit into 12 4 times, resulting in a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 44.0
Deduct 12 from 12 and we're left with 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 3

Advancing to step 4:
3 can be fit into 6 2 times, resulting in a remainder of 0.
The next digit of our result is 2. 
Result so far: 442.0
If we take 6 away from 6, we end up with 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 3

Step 5:
3 goes into 7 2 times with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 4422.0
The remainder is 1 after subtracting 6 from 7.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 3

Step 6:
3 can be fit into 19 6 times, resulting in a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 44226.0
If we take 18 away from 19, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
3 goes into 10 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 44226.3
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 8:
If we divide 10 by 3, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 44226.33
Subtracting 9 from 10 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 44226.33 with a balance of 0.001.