We look at the division of 321341 by 18 
We want to figure out the number of times 321341 can be divided by 18.

Going ahead to step 1:
18 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (2) from the dividend and append it to 3, then repeat: 32 / 18

Let's proceed to step 2:
When dividing 32 by 18, we get 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 18 from 32 to get 14.
Fetch the next digit (1) from the dividend, attach it to 14 and continue: 141 / 18

Step 3:
18 can be fit into 141 7 times, resulting in a remainder of 15.
Put 7 as the next digit of the answer. 
Result so far: 17.0
Deduct 126 from 141 and we're left with 15.
Append the next digit (3) from the dividend to 15 and continue with: 153 / 18

Let's proceed to step 4:
18 goes into 153 8 times with a remainder of 9.
Record the quotient 8 as the next digit in the result. 
Result so far: 178.0
The remainder is 9 after subtracting 144 from 153.
Bring next digit (4) of the dividend behind the 9 and repeat the process: 94 / 18

On to step 5:
If we divide 94 by 18, we get 5 and a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 1785.0
If we subtract 90 from 94, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 18

On to step 6:
The number 18 fits into 41 2 times, leaving a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 17852.0
Deduct 36 from 41 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
If we divide 50 by 18, we get 2 and a remainder of 14.
The next digit of our result is 2. 
Result so far: 17852.2
If we take 36 away from 50, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 8:
The number 18 fits into 140 7 times, leaving a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 17852.27
Subtracting 126 from 140 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 9:
140 divided by 18 is 7 with a remainder of 14.
The next digit of our result is 7. 
Result so far: 17852.277
The remainder is 14 after subtracting 126 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

After the division, we end up with 17852.277 and a remainder of 0.0014.