416626 ÷ 3 
We want to divide 416626 by 3.

On to step 1:
4 divided by 3 is 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 3 from 4 and we're left with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 3

On to step 2:
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: 13.0
If we take 9 away from 11, we end up with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 3

Step 3:
3 goes into 26 8 times with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 138.0
Deduct 24 from 26 and we're left with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 3

Moving on to step 4:
The number 3 fits into 26 8 times, leaving a remainder of 2.
The next digit of our result is 8. 
Result so far: 1388.0
Deduct 24 from 26 and we're left with 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 3

Advancing to step 5:
The number 3 fits into 22 7 times, leaving a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 13887.0
If we subtract 21 from 22, we get 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 3

Going ahead to step 6:
3 goes into 16 5 times with a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 138875.0
If we take 15 away from 16, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
If we divide 10 by 3, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 138875.3
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 8:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 138875.33
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final result is 138875.33 with a remainder of 0.001.