460877 ÷ 30 
Let's see how many times 30 fits into 460877.

On to 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
Deduct 0 from 4 and we're left with 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 30

Going ahead to step 2:
If we divide 46 by 30, we get 1 and a remainder of 16.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 30 from 46 and we're left with 16.
Take the next digit (0) from the dividend and append it to 16, then repeat: 160 / 30

Advancing to step 3:
If we divide 160 by 30, we get 5 and a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Subtracting 150 from 160 leaves us with 10.
Bring next digit (8) of the dividend behind the 10 and repeat the process: 108 / 30

Step 4:
30 goes into 108 3 times with a remainder of 18.
Write down 3 as next digit of the result. 
Result so far: 153.0
The remainder is 18 after subtracting 90 from 108.
Include the next digit (7) from the dividend after 18, then repeat: 187 / 30

Step 5:
The number 30 fits into 187 6 times, leaving a remainder of 7.
The next digit of our result is 6. 
Result so far: 1536.0
If we subtract 180 from 187, we get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 30

Let's proceed to step 6:
If we divide 77 by 30, we get 2 and a remainder of 17.
Put 2 as the next digit of the answer. 
Result so far: 15362.0
Subtract 60 from 77 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
30 can be fit into 170 5 times, resulting in a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 15362.5
If we subtract 150 from 170, 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.

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: 15362.56
Subtracting 180 from 200 leaves us 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:
When dividing 200 by 30, we get 6 with a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 15362.566
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 15362.566 with a balance of 0.002.