We divide 314104 by 31
We're looking to find how many times 31 goes into 314104.

Going ahead to step 1:
31 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 31

Advancing to step 2:
When dividing 31 by 31, we get 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 31 away from 31, we end up with 0.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 31

Advancing to step 3:
If we divide 4 by 31, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we take 0 away from 4, we end up with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 31

Moving on to step 4:
31 can be fit into 41 1 times, resulting in a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 101.0
If we subtract 31 from 41, we get 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 31

Advancing to step 5:
100 divided by 31 is 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 1013.0
Subtracting 93 from 100 leaves us with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 31

Going ahead to step 6:
When dividing 74 by 31, we get 2 with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 10132.0
Subtracting 62 from 74 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
120 divided by 31 is 3 with a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 10132.3
Subtract 93 from 120 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 8:
When dividing 270 by 31, we get 8 with a remainder of 22.
The next digit of our result is 8. 
Result so far: 10132.38
Subtracting 248 from 270 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 9:
If we divide 220 by 31, we get 7 and a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 10132.387
The remainder is 3 after subtracting 217 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 10:
When dividing 30 by 31, we get 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 10132.387
If we subtract 0 from 30, we 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.

On to step 11:
300 divided by 31 is 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 10132.38709
If we subtract 279 from 300, we get 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 12:
If we divide 210 by 31, we get 6 and a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 10132.387096
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 13:
31 goes into 240 7 times with a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 10132.3870967
The remainder is 23 after subtracting 217 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 14:
The number 31 fits into 230 7 times, leaving a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 10132.38709677
Subtracting 217 from 230 leaves us 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 final result is 10132.38709677 with a remainder of 1.3e-08.