111418 ÷ 18 
We want to figure out the number of times 111418 can be divided by 18.

Moving on to step 1:
18 goes into 1 0 times with 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.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 18

Going ahead to step 2:
18 can be fit into 11 0 times, resulting in a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 18

Step 3:
If we divide 111 by 18, we get 6 and a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 108 from 111 and we're left with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 18

Step 4:
The number 18 fits into 34 1 times, leaving a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 61.0
The remainder is 16 after subtracting 18 from 34.
Bring next digit (1) of the dividend behind the 16 and repeat the process: 161 / 18

On to step 5:
18 can be fit into 161 8 times, resulting in a remainder of 17.
Put 8 as the next digit of the answer. 
Result so far: 618.0
Subtract 144 from 161 to get 17.
Take the next digit (8) from the dividend and append it to 17, then repeat: 178 / 18

Moving on to step 6:
178 divided by 18 is 9 with a remainder of 16.
Record the quotient 9 as the next digit in the result. 
Result so far: 6189.0
Deduct 162 from 178 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 7:
18 can be fit into 160 8 times, resulting in a remainder of 16.
The next digit of our result is 8. 
Result so far: 6189.8
Deduct 144 from 160 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 8:
When dividing 160 by 18, we get 8 with a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 6189.88
Subtracting 144 from 160 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

After the division, we end up with 6189.88 and a remainder of 0.016.