We look at the division of 7818 by 18 
We want to figure out the number of times 7818 can be divided by 18.

Advancing to step 1:
When dividing 7 by 18, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 18

Step 2:
If we divide 78 by 18, we get 4 and a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtracting 72 from 78 leaves us with 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 18

Going ahead to step 3:
The number 18 fits into 61 3 times, leaving a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 43.0
Subtracting 54 from 61 leaves us with 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 18

Step 4:
78 divided by 18 is 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 434.0
If we take 72 away from 78, 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.

Going ahead to step 5:
When dividing 60 by 18, we get 3 with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 434.3
Subtract 54 from 60 to get 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 6:
18 goes into 60 3 times with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 434.33
Deduct 54 from 60 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.

The quotient of the division is 434.33, and the remainder is 0.006.