We look at the division of 46577 by 30 
Our goal is to divide 46577 by 30.

On to step 1:
30 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 30

Going ahead to step 2:
46 divided by 30 is 1 with a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 30 from 46 and we're left with 16.
Include the next digit (5) from the dividend after 16, then repeat: 165 / 30

Going ahead to step 3:
30 goes into 165 5 times with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we take 150 away from 165, we end up with 15.
Bring next digit (7) of the dividend behind the 15 and repeat the process: 157 / 30

Going ahead to step 4:
When dividing 157 by 30, we get 5 with a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 155.0
Deduct 150 from 157 and we're left with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 30

On to step 5:
The number 30 fits into 77 2 times, leaving a remainder of 17.
Write down 2 as next digit of the result. 
Result so far: 1552.0
The remainder is 17 after subtracting 60 from 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 6:
When dividing 170 by 30, we get 5 with a remainder of 20.
The next digit of our result is 5. 
Result so far: 1552.5
The remainder is 20 after subtracting 150 from 170.
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 7:
If we divide 200 by 30, we get 6 and a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 1552.56
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 8:
200 divided by 30 is 6 with a remainder of 20.
The next digit of our result is 6. 
Result so far: 1552.566
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.

In conclusion, the division gives 1552.566 with a balance of 0.002.