We look at the division of 97171 by 14 
We want to figure out the number of times 97171 can be divided by 14.

On to step 1:
9 divided by 14 is 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 14

Going ahead to step 2:
When dividing 97 by 14, we get 6 with a remainder of 13.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 13 after subtracting 84 from 97.
Fetch the next digit (1) from the dividend, attach it to 13 and continue: 131 / 14

Let's proceed to step 3:
14 can be fit into 131 9 times, resulting in a remainder of 5.
Put 9 as the next digit of the answer. 
Result so far: 69.0
Deduct 126 from 131 and we're left with 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 14

On to step 4:
The number 14 fits into 57 4 times, leaving a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 694.0
The remainder is 1 after subtracting 56 from 57.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 14

Advancing to step 5:
11 divided by 14 is 0 with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 6940.0
Subtracting 0 from 11 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 6:
14 goes into 110 7 times with a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 6940.7
If we subtract 98 from 110, we get 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 7:
14 goes into 120 8 times with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 6940.78
Subtracting 112 from 120 leaves us with 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 8:
80 divided by 14 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 6940.785
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 9:
100 divided by 14 is 7 with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 6940.7857
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.

Advancing to step 10:
14 goes into 20 1 times with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 6940.78571
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.

Step 11:
When dividing 60 by 14, we get 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 6940.785714
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.

Moving on to step 12:
The number 14 fits into 40 2 times, leaving a remainder of 12.
The next digit of our result is 2. 
Result so far: 6940.7857142
Deduct 28 from 40 and we're left 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 13:
If we divide 120 by 14, we get 8 and a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 6940.78571428
Subtracting 112 from 120 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 6940.78571428 with a remaining 8e-09.