We look at the division of 6408116 by 3 
Let's see how many times 3 fits into 6408116.

Advancing to step 1:
If we divide 6 by 3, we get 2 and a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 6 from 6 and we're left with 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 3

Advancing to step 2:
The number 3 fits into 4 1 times, leaving a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 21.0
Subtract 3 from 4 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 3

Let's proceed to step 3:
If we divide 10 by 3, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 213.0
Deduct 9 from 10 and we're left with 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 3

Step 4:
If we divide 18 by 3, we get 6 and a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 2136.0
If we take 18 away from 18, we end up with 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 3

Moving on to step 5:
If we divide 1 by 3, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 21360.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 3

Going ahead to step 6:
When dividing 11 by 3, we get 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 213603.0
If we take 9 away from 11, we end up with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 3

On to step 7:
3 can be fit into 26 8 times, resulting in a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 2136038.0
Deduct 24 from 26 and we're left with 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 8:
The number 3 fits into 20 6 times, leaving a remainder of 2.
The next digit of our result is 6. 
Result so far: 2136038.6
If we subtract 18 from 20, 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.

Advancing to step 9:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 2136038.66
If we take 18 away from 20, we end up with 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 quotient of the division is 2136038.66, and the remainder is 0.002.