We're dividing 437461 by 30 
We want to divide 437461 by 30.

Step 1:
4 divided by 30 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 30

Moving on to step 2:
The number 30 fits into 43 1 times, leaving a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 30 from 43 and we're left with 13.
Bring next digit (7) of the dividend behind the 13 and repeat the process: 137 / 30

Let's proceed to step 3:
30 goes into 137 4 times with a remainder of 17.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Subtract 120 from 137 to get 17.
Append the next digit (4) from the dividend to 17 and continue with: 174 / 30

Step 4:
30 can be fit into 174 5 times, resulting in a remainder of 24.
The next digit of our result is 5. 
Result so far: 145.0
Deduct 150 from 174 and we're left with 24.
Fetch the next digit (6) from the dividend, attach it to 24 and continue: 246 / 30

Advancing to step 5:
246 divided by 30 is 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 1458.0
The remainder is 6 after subtracting 240 from 246.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 30

Let's proceed to step 6:
The number 30 fits into 61 2 times, leaving a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 14582.0
Deduct 60 from 61 and we're left 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:
10 divided by 30 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 14582.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
100 divided by 30 is 3 with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 14582.03
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
The number 30 fits into 100 3 times, leaving a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 14582.033
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 14582.033 with a balance of 0.001.