We're dividing 402305 by 30 
We're looking to find how many times 30 goes into 402305.

Step 1:
30 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 30

Going ahead to step 2:
30 can be fit into 40 1 times, resulting in a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 30 from 40 and we're left with 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 30

Going ahead to step 3:
30 can be fit into 102 3 times, resulting in a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 13.0
The remainder is 12 after subtracting 90 from 102.
Include the next digit (3) from the dividend after 12, then repeat: 123 / 30

Going ahead to step 4:
If we divide 123 by 30, we get 4 and a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 134.0
If we subtract 120 from 123, we get 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 30

Step 5:
When dividing 30 by 30, we get 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1341.0
If we subtract 30 from 30, we get 0.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 30

Advancing to step 6:
30 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 13410.0
The remainder is 5 after subtracting 0 from 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
The number 30 fits into 50 1 times, leaving a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 13410.1
The remainder is 20 after subtracting 30 from 50.
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:
200 divided by 30 is 6 with a remainder of 20.
The next digit of our result is 6. 
Result so far: 13410.16
Subtract 180 from 200 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.

Advancing to step 9:
200 divided by 30 is 6 with a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 13410.166
If we take 180 away from 200, we end up 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.

Our division results in 13410.166 with a remaining 0.002.