We look at the division of 8251 by 30 
We're looking to find how many times 30 goes into 8251.

Step 1:
If we divide 8 by 30, we get 0 and a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 30

Moving on to step 2:
If we divide 82 by 30, we get 2 and a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 60 from 82 to get 22.
Fetch the next digit (5) from the dividend, attach it to 22 and continue: 225 / 30

Going ahead to step 3:
30 goes into 225 7 times with a remainder of 15.
The number 7 becomes the next digit in our result. 
Result so far: 27.0
Subtracting 210 from 225 leaves us with 15.
Append the next digit (1) from the dividend to 15 and continue with: 151 / 30

Moving on to step 4:
If we divide 151 by 30, we get 5 and a remainder of 1.
The next digit of our result is 5. 
Result so far: 275.0
The remainder is 1 after subtracting 150 from 151.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 5:
If we divide 10 by 30, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 275.0
If we take 0 away from 10, we end up 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.

Step 6:
30 can be fit into 100 3 times, resulting in a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 275.03
If we subtract 90 from 100, we 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.

Let's proceed to step 7:
100 divided by 30 is 3 with a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 275.033
If we subtract 90 from 100, we 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.

The quotient of the division is 275.033, and the remainder is 0.001.