We look at the division of 1646 by 6 
We're looking to find how many times 6 goes into 1646.

On to step 1:
When dividing 1 by 6, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 6

Moving on to step 2:
The number 6 fits into 16 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 12 away from 16, we end up with 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 6

Step 3:
The number 6 fits into 44 7 times, leaving a remainder of 2.
The next digit of our result is 7. 
Result so far: 27.0
Deduct 42 from 44 and we're left with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 6

On to step 4:
The number 6 fits into 26 4 times, leaving a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 274.0
If we subtract 24 from 26, we 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.

Step 5:
20 divided by 6 is 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 274.3
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.

Let's proceed to step 6:
When dividing 20 by 6, we get 3 with a remainder of 2.
The next digit of our result is 3. 
Result so far: 274.33
Subtract 18 from 20 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.

The final outcome is 274.33, with a leftover of 0.002.