We look at the division of 406679 by 30 
We want to divide 406679 by 30.

On to step 1:
30 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 30

Step 2:
If we divide 40 by 30, we get 1 and a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 30 from 40, we get 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 30

Going ahead to step 3:
30 can be fit into 106 3 times, resulting in a remainder of 16.
The next digit of our result is 3. 
Result so far: 13.0
Subtracting 90 from 106 leaves us with 16.
Include the next digit (6) from the dividend after 16, then repeat: 166 / 30

Step 4:
If we divide 166 by 30, we get 5 and a remainder of 16.
Write down 5 as next digit of the result. 
Result so far: 135.0
Subtract 150 from 166 to get 16.
Fetch the next digit (7) from the dividend, attach it to 16 and continue: 167 / 30

Moving on to step 5:
30 can be fit into 167 5 times, resulting in a remainder of 17.
The number 5 becomes the next digit in our result. 
Result so far: 1355.0
Subtracting 150 from 167 leaves us with 17.
Bring next digit (9) of the dividend behind the 17 and repeat the process: 179 / 30

Moving on to step 6:
The number 30 fits into 179 5 times, leaving a remainder of 29.
The number 5 becomes the next digit in our result. 
Result so far: 13555.0
If we take 150 away from 179, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 7:
When dividing 290 by 30, we get 9 with a remainder of 20.
The next digit of our result is 9. 
Result so far: 13555.9
Subtract 270 from 290 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
The number 30 fits into 200 6 times, leaving a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 13555.96
Deduct 180 from 200 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.

Advancing to step 9:
30 goes into 200 6 times with a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 13555.966
Deduct 180 from 200 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.

After the division, we end up with 13555.966 and a remainder of 0.002.