Let's divide 321441 by 18
Our goal is to divide 321441 by 18.

Advancing to step 1:
The number 18 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (2) from the dividend after 3, then repeat: 32 / 18

Moving on to step 2:
32 divided by 18 is 1 with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 18 from 32 leaves us with 14.
Grab the next digit (1) from the dividend, add it to 14, then carry on: 141 / 18

Let's proceed to step 3:
18 goes into 141 7 times with a remainder of 15.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
The remainder is 15 after subtracting 126 from 141.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 18

On to step 4:
154 divided by 18 is 8 with a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 178.0
Subtract 144 from 154 to get 10.
Include the next digit (4) from the dividend after 10, then repeat: 104 / 18

Moving on to step 5:
18 can be fit into 104 5 times, resulting in a remainder of 14.
The next digit of our result is 5. 
Result so far: 1785.0
Subtract 90 from 104 to get 14.
Bring next digit (1) of the dividend behind the 14 and repeat the process: 141 / 18

On to step 6:
The number 18 fits into 141 7 times, leaving a remainder of 15.
The number 7 becomes the next digit in our result. 
Result so far: 17857.0
Subtracting 126 from 141 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 7:
18 can be fit into 150 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 17857.8
Subtracting 144 from 150 leaves us 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.

Advancing to step 8:
When dividing 60 by 18, we get 3 with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 17857.83
The remainder is 6 after subtracting 54 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 9:
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: 17857.833
The remainder is 6 after subtracting 54 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 17857.833 and a remainder of 0.0006.