We look at the division of 476959 by 30 
We want to divide 476959 by 30.

Going ahead to step 1:
If we divide 4 by 30, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 30

Moving on to step 2:
30 goes into 47 1 times with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 30 from 47 leaves us with 17.
Take the next digit (6) from the dividend and append it to 17, then repeat: 176 / 30

Step 3:
30 goes into 176 5 times with a remainder of 26.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we subtract 150 from 176, we get 26.
Bring next digit (9) of the dividend behind the 26 and repeat the process: 269 / 30

Let's proceed to step 4:
The number 30 fits into 269 8 times, leaving a remainder of 29.
Put 8 as the next digit of the answer. 
Result so far: 158.0
If we subtract 240 from 269, we get 29.
Grab the next digit (5) from the dividend, add it to 29, then carry on: 295 / 30

On to step 5:
If we divide 295 by 30, we get 9 and a remainder of 25.
Record the quotient 9 as the next digit in the result. 
Result so far: 1589.0
If we subtract 270 from 295, we get 25.
Append the next digit (9) from the dividend to 25 and continue with: 259 / 30

On to step 6:
When dividing 259 by 30, we get 8 with a remainder of 19.
Use 8 as the next digit of our solution. 
Result so far: 15898.0
If we subtract 240 from 259, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 7:
190 divided by 30 is 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 15898.6
Deduct 180 from 190 and we're left 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.

Advancing to step 8:
30 goes into 100 3 times with a remainder of 10.
The next digit of our result is 3. 
Result so far: 15898.63
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
If we divide 100 by 30, we get 3 and a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 15898.633
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.

After the division, we end up with 15898.633 and a remainder of 0.001.