113229 ÷ 14 
We want to figure out the number of times 113229 can be divided by 14.

Going ahead to step 1:
If we divide 1 by 14, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the 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

On to step 2:
The number 14 fits into 11 0 times, leaving a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 14

Going ahead to step 3:
When dividing 113 by 14, we get 8 with a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we take 112 away from 113, we end up with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 14

Step 4:
If we divide 12 by 14, we get 0 and a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 80.0
If we subtract 0 from 12, we get 12.
Include the next digit (2) from the dividend after 12, then repeat: 122 / 14

Moving on to step 5:
The number 14 fits into 122 8 times, leaving a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 808.0
If we subtract 112 from 122, we get 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 14

Going ahead to step 6:
14 can be fit into 109 7 times, resulting in a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 8087.0
Deduct 98 from 109 and we're left 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.

Let's proceed to step 7:
If we divide 110 by 14, we get 7 and a remainder of 12.
Record the quotient 7 as the next digit in the result. 
Result so far: 8087.7
Subtract 98 from 110 to 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.

Let's proceed to step 8:
The number 14 fits into 120 8 times, leaving a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 8087.78
The remainder is 8 after subtracting 112 from 120.
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 9:
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: 8087.785
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.

Going ahead to step 10:
14 can be fit into 100 7 times, resulting in a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 8087.7857
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.

Advancing to step 11:
20 divided by 14 is 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 8087.78571
The remainder is 6 after subtracting 14 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
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: 8087.785714
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.

On to step 13:
When dividing 40 by 14, we get 2 with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 8087.7857142
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.

Moving on to step 14:
14 goes into 120 8 times with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 8087.78571428
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.

The final result is 8087.78571428 with a remainder of 8e-09.