We look at the division of 315117 by 14 
We're looking to find how many times 14 goes into 315117.

Let's proceed to step 1:
The number 14 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 14

Let's proceed to step 2:
When dividing 31 by 14, we get 2 with a remainder of 3.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 28 from 31 to get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 14

On to step 3:
If we divide 35 by 14, we get 2 and a remainder of 7.
The next digit of our result is 2. 
Result so far: 22.0
Subtracting 28 from 35 leaves us with 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 14

Going ahead to step 4:
The number 14 fits into 71 5 times, leaving a remainder of 1.
The next digit of our result is 5. 
Result so far: 225.0
The remainder is 1 after subtracting 70 from 71.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 14

Step 5:
If we divide 11 by 14, we get 0 and a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 2250.0
Subtract 0 from 11 to get 11.
Bring next digit (7) of the dividend behind the 11 and repeat the process: 117 / 14

Advancing to step 6:
117 divided by 14 is 8 with a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 22508.0
If we take 112 away from 117, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
50 divided by 14 is 3 with a remainder of 8.
The next digit of our result is 3. 
Result so far: 22508.3
If we subtract 42 from 50, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 8:
If we divide 80 by 14, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 22508.35
If we take 70 away from 80, 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.

On to step 9:
The number 14 fits into 100 7 times, leaving a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 22508.357
The remainder is 2 after subtracting 98 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
14 goes into 20 1 times with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 22508.3571
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 11:
If we divide 60 by 14, we get 4 and a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 22508.35714
Subtracting 56 from 60 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
If we divide 40 by 14, we get 2 and a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 22508.357142
The remainder is 12 after subtracting 28 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 13:
14 can be fit into 120 8 times, resulting in a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 22508.3571428
If we subtract 112 from 120, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 14:
14 can be fit into 80 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 22508.35714285
Deduct 70 from 80 and we're left 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.

The quotient of the division is 22508.35714285, and the remainder is 1e-08.