Let's divide 966914 by 31
We're looking to find how many times 31 goes into 966914.

Advancing to step 1:
31 can be fit into 9 0 times, resulting in a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 31

Step 2:
The number 31 fits into 96 3 times, leaving a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 93 from 96 leaves us with 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 31

Step 3:
31 goes into 36 1 times with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 31.0
Deduct 31 from 36 and we're left with 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 31

Step 4:
The number 31 fits into 59 1 times, leaving a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 311.0
If we take 31 away from 59, we end up with 28.
Take the next digit (1) from the dividend and append it to 28, then repeat: 281 / 31

Advancing to step 5:
281 divided by 31 is 9 with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 3119.0
If we subtract 279 from 281, we get 2.
Append the next digit (4) from the dividend to 2 and continue with: 24 / 31

Step 6:
24 divided by 31 is 0 with a remainder of 24.
The next digit of our result is 0. 
Result so far: 31190.0
Subtract 0 from 24 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 7:
240 divided by 31 is 7 with a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 31190.7
If we subtract 217 from 240, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 8:
31 goes into 230 7 times with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 31190.77
Deduct 217 from 230 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The quotient of the division is 31190.77, and the remainder is 0.013.