218112 ÷ 14 
We're looking to find how many times 14 goes into 218112.

Going ahead to step 1:
2 divided by 14 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 14

Let's proceed to step 2:
21 divided by 14 is 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 7 after subtracting 14 from 21.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 14

Moving on to step 3:
When dividing 78 by 14, we get 5 with a remainder of 8.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
If we subtract 70 from 78, we get 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 14

On to step 4:
If we divide 81 by 14, we get 5 and a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 155.0
Subtracting 70 from 81 leaves us with 11.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 14

Advancing to step 5:
When dividing 111 by 14, we get 7 with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 1557.0
If we take 98 away from 111, we end up with 13.
Take the next digit (2) from the dividend and append it to 13, then repeat: 132 / 14

Step 6:
14 can be fit into 132 9 times, resulting in a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 15579.0
The remainder is 6 after subtracting 126 from 132.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
The number 14 fits into 60 4 times, leaving a remainder of 4.
The next digit of our result is 4. 
Result so far: 15579.4
If we take 56 away from 60, we end up 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.

On to step 8:
40 divided by 14 is 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 15579.42
Subtract 28 from 40 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.

On to step 9:
If we divide 120 by 14, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 15579.428
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.

Advancing to step 10:
14 goes into 80 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 15579.4285
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.

On to step 11:
14 goes into 100 7 times with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 15579.42857
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 12:
14 can be fit into 20 1 times, resulting in a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 15579.428571
Deduct 14 from 20 and we're left 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.

Moving on to step 13:
14 can be fit into 60 4 times, resulting in a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 15579.4285714
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.

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: 15579.42857142
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.

In conclusion, the division gives 15579.42857142 with a balance of 1.2e-08.