420116 divided by 30 
We're looking to find how many times 30 goes into 420116.

Moving on to step 1:
30 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 30

Step 2:
30 can be fit into 42 1 times, resulting in a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 30 away from 42, we end up with 12.
Include the next digit (0) from the dividend after 12, then repeat: 120 / 30

Going ahead to step 3:
120 divided by 30 is 4 with a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 14.0
If we take 120 away from 120, we end up with 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 30

Step 4:
1 divided by 30 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 140.0
If we subtract 0 from 1, we get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 30

Let's proceed to step 5:
30 goes into 11 0 times with a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 1400.0
If we take 0 away from 11, we end up with 11.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 30

Going ahead to step 6:
The number 30 fits into 116 3 times, leaving a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 14003.0
Deduct 90 from 116 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 7:
30 goes into 260 8 times with a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 14003.8
Deduct 240 from 260 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.

Step 8:
30 can be fit into 200 6 times, resulting in a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 14003.86
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
When dividing 200 by 30, we get 6 with a remainder of 20.
The next digit of our result is 6. 
Result so far: 14003.866
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.

In conclusion, the division gives 14003.866 with a balance of 0.002.