We look at the division of 181835 by 18 
Let's see how many times 18 fits into 181835.

Step 1:
If we divide 1 by 18, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 18

Let's proceed to step 2:
18 divided by 18 is 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 18 from 18 to get 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 18

Let's proceed to step 3:
When dividing 1 by 18, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 1, we end up with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 18

Going ahead to step 4:
When dividing 18 by 18, we get 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 101.0
Subtracting 18 from 18 leaves us with 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 18

Advancing to step 5:
18 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 1010.0
Subtract 0 from 3 to get 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 18

On to step 6:
If we divide 35 by 18, we get 1 and a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 10101.0
If we take 18 away from 35, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
If we divide 170 by 18, we get 9 and a remainder of 8.
The next digit of our result is 9. 
Result so far: 10101.9
Subtracting 162 from 170 leaves us 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 8:
The number 18 fits into 80 4 times, leaving a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 10101.94
If we subtract 72 from 80, we 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.

On to step 9:
When dividing 80 by 18, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 10101.944
The remainder is 8 after subtracting 72 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 10101.944, and the remainder is 0.0008.