We look at the division of 251 by 31 
We're looking to find how many times 31 goes into 251.

Advancing to step 1:
When dividing 2 by 31, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 31

Moving on to step 2:
31 can be fit into 25 0 times, resulting in a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Grab the next digit (1) from the dividend, add it to 25, then carry on: 251 / 31

On to step 3:
When dividing 251 by 31, we get 8 with a remainder of 3.
The next digit of our result is 8. 
Result so far: 8.0
If we subtract 248 from 251, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 4:
31 can be fit into 30 0 times, resulting in a remainder of 30.
The next digit of our result is 0. 
Result so far: 8.0
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 5:
When dividing 300 by 31, we get 9 with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 8.09
If we take 279 away from 300, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 6:
If we divide 210 by 31, we get 6 and a remainder of 24.
The next digit of our result is 6. 
Result so far: 8.096
If we take 186 away from 210, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 7:
If we divide 240 by 31, we get 7 and a remainder of 23.
The next digit of our result is 7. 
Result so far: 8.0967
If we take 217 away from 240, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 8:
If we divide 230 by 31, we get 7 and a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 8.09677
If we subtract 217 from 230, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Our division results in 8.09677 with a remaining 1.3e-05.