We look at the division of 113497 by 14 
We want to figure out the number of times 113497 can be divided by 14.

On to step 1:
1 divided by 14 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 14

Step 2:
11 divided by 14 is 0 with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Grab the next digit (3) from the dividend, add it to 11, then carry on: 113 / 14

Step 3:
If we divide 113 by 14, we get 8 and a remainder of 1.
The next digit of our result is 8. 
Result so far: 8.0
Subtract 112 from 113 to get 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 14

Moving on to step 4:
When dividing 14 by 14, we get 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 81.0
The remainder is 0 after subtracting 14 from 14.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 14

Moving on to step 5:
9 divided by 14 is 0 with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 810.0
The remainder is 9 after subtracting 0 from 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 14

Step 6:
14 goes into 97 6 times with a remainder of 13.
Put 6 as the next digit of the answer. 
Result so far: 8106.0
Subtract 84 from 97 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.

Moving on to step 7:
When dividing 130 by 14, we get 9 with a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 8106.9
If we subtract 126 from 130, 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.

Advancing to step 8:
14 goes into 40 2 times with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 8106.92
If we subtract 28 from 40, 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 9:
120 divided by 14 is 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 8106.928
If we take 112 away from 120, we end up 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.

Going ahead to step 10:
14 goes into 80 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 8106.9285
If we subtract 70 from 80, we 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.

Let's proceed to step 11:
14 goes into 100 7 times with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 8106.92857
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.

On to step 12:
The number 14 fits into 20 1 times, leaving a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 8106.928571
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.

Step 13:
60 divided by 14 is 4 with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 8106.9285714
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.

Moving on to step 14:
14 goes into 40 2 times with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 8106.92857142
If we subtract 28 from 40, 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.

In conclusion, the division gives 8106.92857142 with a balance of 1.2e-08.