We're dividing 645275 by 30 
We're looking to find how many times 30 goes into 645275.

Advancing to step 1:
The number 30 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 30

On to step 2:
If we divide 64 by 30, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 4 after subtracting 60 from 64.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 30

Step 3:
If we divide 45 by 30, we get 1 and a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 21.0
Deduct 30 from 45 and we're left with 15.
Take the next digit (2) from the dividend and append it to 15, then repeat: 152 / 30

On to step 4:
152 divided by 30 is 5 with a remainder of 2.
The next digit of our result is 5. 
Result so far: 215.0
Subtract 150 from 152 to get 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 30

Step 5:
30 can be fit into 27 0 times, resulting in a remainder of 27.
The number 0 becomes the next digit in our result. 
Result so far: 2150.0
Subtracting 0 from 27 leaves us with 27.
Bring next digit (5) of the dividend behind the 27 and repeat the process: 275 / 30

Step 6:
30 goes into 275 9 times with a remainder of 5.
Put 9 as the next digit of the answer. 
Result so far: 21509.0
Subtract 270 from 275 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
30 goes into 50 1 times with a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 21509.1
The remainder is 20 after subtracting 30 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
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: 21509.16
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.

Step 9:
30 goes into 200 6 times with a remainder of 20.
The next digit of our result is 6. 
Result so far: 21509.166
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.

Our division results in 21509.166 with a remaining 0.002.