We look at the division of 6417305 by 3 
We want to figure out the number of times 6417305 can be divided by 3.

Step 1:
3 can be fit into 6 2 times, resulting in a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 6 away from 6, we end up with 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 3

Going ahead to step 2:
If we divide 4 by 3, we get 1 and a remainder of 1.
The next digit of our result is 1. 
Result so far: 21.0
If we take 3 away from 4, we end up with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 3

Going ahead to step 3:
When dividing 11 by 3, we get 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 213.0
If we take 9 away from 11, we end up with 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 3

Moving on to step 4:
When dividing 27 by 3, we get 9 with a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 2139.0
Deduct 27 from 27 and we're left with 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 3

On to step 5:
3 goes into 3 1 times with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 21391.0
Subtract 3 from 3 to get 0.
Fetch the next digit (0) from the dividend, attach it to 0 and continue: 0 / 3

On to step 6:
The number 3 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 213910.0
Subtracting 0 from 0 leaves us with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 3

Moving on to step 7:
3 goes into 5 1 times with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 2139101.0
Subtract 3 from 5 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.

Advancing to step 8:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 2139101.6
Subtracting 18 from 20 leaves us 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.

Advancing to step 9:
When dividing 20 by 3, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 2139101.66
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 2139101.66, and the remainder is 0.002.