We're dividing 174313 by 14 
We want to figure out the number of times 174313 can be divided by 14.

Moving on to step 1:
The number 14 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 14

Advancing to step 2:
If we divide 17 by 14, we get 1 and a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 14 away from 17, we end up with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 14

Step 3:
14 can be fit into 34 2 times, resulting in a remainder of 6.
The next digit of our result is 2. 
Result so far: 12.0
The remainder is 6 after subtracting 28 from 34.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 14

On to step 4:
63 divided by 14 is 4 with a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 124.0
Subtracting 56 from 63 leaves us with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 14

Let's proceed to step 5:
71 divided by 14 is 5 with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 1245.0
If we take 70 away from 71, we end up with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 14

Step 6:
The number 14 fits into 13 0 times, leaving a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 12450.0
Subtract 0 from 13 to 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.

Going ahead to step 7:
If we divide 130 by 14, we get 9 and a remainder of 4.
The next digit of our result is 9. 
Result so far: 12450.9
The remainder is 4 after subtracting 126 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
The number 14 fits into 40 2 times, leaving a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 12450.92
If we take 28 away from 40, we end up 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.

Advancing to step 9:
14 goes into 120 8 times with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 12450.928
Subtract 112 from 120 to 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.

Going ahead to step 10:
80 divided by 14 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 12450.9285
Subtract 70 from 80 to 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.

Step 11:
The number 14 fits into 100 7 times, leaving a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 12450.92857
If we subtract 98 from 100, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 12:
14 can be fit into 20 1 times, resulting in a remainder of 6.
The next digit of our result is 1. 
Result so far: 12450.928571
Subtracting 14 from 20 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 13:
The number 14 fits into 60 4 times, leaving a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 12450.9285714
Subtract 56 from 60 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 14:
14 can be fit into 40 2 times, resulting in a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 12450.92857142
If we take 28 away from 40, we end up 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.

The quotient of the division is 12450.92857142, and the remainder is 1.2e-08.