We divide 420965 by 3
We want to divide 420965 by 3.

Moving on to step 1:
When dividing 4 by 3, we get 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 3 away from 4, we end up with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 3

Let's proceed to step 2:
If we divide 12 by 3, we get 4 and a remainder of 0.
The next digit of our result is 4. 
Result so far: 14.0
Subtract 12 from 12 to get 0.
Grab the next digit (0) from the dividend, add it to 0, then carry on: 0 / 3

Moving on to step 3:
3 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 140.0
Deduct 0 from 0 and we're left with 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 3

Advancing to step 4:
The number 3 fits into 9 3 times, leaving a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 1403.0
The remainder is 0 after subtracting 9 from 9.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 3

Going ahead to step 5:
When dividing 6 by 3, we get 2 with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 14032.0
Subtract 6 from 6 to get 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 3

Advancing to step 6:
When dividing 5 by 3, we get 1 with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 140321.0
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.

Step 7:
20 divided by 3 is 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 140321.6
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.

Step 8:
If we divide 20 by 3, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 140321.66
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.

After the division, we end up with 140321.66 and a remainder of 0.002.