We look at the division of 321410 by 6 
Our goal is to divide 321410 by 6.

Advancing to step 1:
6 can be fit into 3 0 times, resulting in 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.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 6

Moving on to step 2:
The number 6 fits into 32 5 times, leaving a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 2 after subtracting 30 from 32.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 6

Moving on to step 3:
When dividing 21 by 6, we get 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 53.0
Subtracting 18 from 21 leaves us with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 6

Step 4:
The number 6 fits into 34 5 times, leaving a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 535.0
The remainder is 4 after subtracting 30 from 34.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 6

Advancing to step 5:
When dividing 41 by 6, we get 6 with a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 5356.0
If we take 36 away from 41, we end up with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 6

Advancing to step 6:
6 goes into 50 8 times with a remainder of 2.
The next digit of our result is 8. 
Result so far: 53568.0
Subtract 48 from 50 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
6 goes into 20 3 times with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 53568.3
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
When dividing 20 by 6, we get 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 53568.33
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 53568.33 and a remainder of 0.002.