401342 ÷ 30 
The aim is to understand the frequency of 30 in 401342.

Advancing to step 1:
When dividing 4 by 30, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 30

Let's proceed to step 2:
30 goes into 40 1 times with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 30 from 40 and we're left with 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 30

Let's proceed to step 3:
If we divide 101 by 30, we get 3 and a remainder of 11.
The next digit of our result is 3. 
Result so far: 13.0
Subtracting 90 from 101 leaves us with 11.
Fetch the next digit (3) from the dividend, attach it to 11 and continue: 113 / 30

On to step 4:
If we divide 113 by 30, we get 3 and a remainder of 23.
Record the quotient 3 as the next digit in the result. 
Result so far: 133.0
Deduct 90 from 113 and we're left with 23.
Include the next digit (4) from the dividend after 23, then repeat: 234 / 30

Moving on to step 5:
30 goes into 234 7 times with a remainder of 24.
Use 7 as the next digit of our solution. 
Result so far: 1337.0
Subtract 210 from 234 to get 24.
Take the next digit (2) from the dividend and append it to 24, then repeat: 242 / 30

Going ahead to step 6:
30 goes into 242 8 times with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 13378.0
The remainder is 2 after subtracting 240 from 242.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
If we divide 20 by 30, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 13378.0
If we subtract 0 from 20, we 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.

On to step 8:
30 goes into 200 6 times with a remainder of 20.
The next digit of our result is 6. 
Result so far: 13378.06
If we subtract 180 from 200, we 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.

Step 9:
30 can be fit into 200 6 times, resulting in a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 13378.066
If we subtract 180 from 200, we 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.

In conclusion, the division gives 13378.066 with a balance of 0.002.