We're dividing 416945 by 3 
Our goal is to divide 416945 by 3.

Let's proceed to step 1:
4 divided by 3 is 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 3 from 4 to get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 3

Moving on to step 2:
3 goes into 11 3 times with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we subtract 9 from 11, we get 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 3

Advancing to step 3:
3 can be fit into 26 8 times, resulting in a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 138.0
If we subtract 24 from 26, we get 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 3

On to step 4:
3 goes into 29 9 times with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 1389.0
Deduct 27 from 29 and we're left with 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 3

Advancing to step 5:
When dividing 24 by 3, we get 8 with a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 13898.0
If we subtract 24 from 24, we get 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 3

Going ahead to step 6:
3 can be fit into 5 1 times, resulting in a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 138981.0
If we subtract 3 from 5, 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.

Going ahead to step 7:
3 goes into 20 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 138981.6
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.

Going ahead to step 8:
3 goes into 20 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 138981.66
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.

Our division results in 138981.66 with a remaining 0.002.