We look at the division of 174016 by 14 
We're looking to find how many times 14 goes into 174016.

Advancing to step 1:
If we divide 1 by 14, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 14

Going ahead to step 2:
14 goes into 17 1 times with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 14 from 17 and we're left with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 14

Step 3:
When dividing 34 by 14, we get 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we take 28 away from 34, we end up with 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 14

Let's proceed to step 4:
14 can be fit into 60 4 times, resulting in a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 124.0
Subtracting 56 from 60 leaves us with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 14

Advancing to step 5:
The number 14 fits into 41 2 times, leaving a remainder of 13.
The next digit of our result is 2. 
Result so far: 1242.0
If we take 28 away from 41, we end up with 13.
Fetch the next digit (6) from the dividend, attach it to 13 and continue: 136 / 14

Advancing to step 6:
When dividing 136 by 14, we get 9 with a remainder of 10.
Record the quotient 9 as the next digit in the result. 
Result so far: 12429.0
The remainder is 10 after subtracting 126 from 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
14 goes into 100 7 times with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 12429.7
Subtract 98 from 100 to 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.

Step 8:
14 can be fit into 20 1 times, resulting in a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 12429.71
If we take 14 away from 20, we end up 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.

Advancing to step 9:
If we divide 60 by 14, we get 4 and a remainder of 4.
The next digit of our result is 4. 
Result so far: 12429.714
If we subtract 56 from 60, we 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.

Going ahead to step 10:
14 can be fit into 40 2 times, resulting in a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 12429.7142
Subtracting 28 from 40 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.

Step 11:
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: 12429.71428
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.

Let's proceed to step 12:
The number 14 fits into 80 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 12429.714285
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.

Let's proceed to step 13:
When dividing 100 by 14, we get 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 12429.7142857
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 14:
The number 14 fits into 20 1 times, leaving a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 12429.71428571
If we take 14 away from 20, we end up 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.

The quotient of the division is 12429.71428571, and the remainder is 6e-09.