We divide 412298 by 3
Our goal is to divide 412298 by 3.

Advancing to step 1:
4 divided by 3 is 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 1 after subtracting 3 from 4.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 3

Advancing to step 2:
The number 3 fits into 11 3 times, leaving a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Deduct 9 from 11 and we're left with 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 3

Going ahead to step 3:
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: 137.0
Subtract 21 from 22 to get 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 3

Let's proceed to step 4:
3 goes into 12 4 times with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 1374.0
Deduct 12 from 12 and we're left with 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 3

On to step 5:
The number 3 fits into 9 3 times, leaving a remainder of 0.
The next digit of our result is 3. 
Result so far: 13743.0
Deduct 9 from 9 and we're left with 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 3

Let's proceed to step 6:
3 can be fit into 8 2 times, resulting in a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 137432.0
Subtract 6 from 8 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.

On to step 7:
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: 137432.6
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.

On 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: 137432.66
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.

Our division results in 137432.66 with a remaining 0.002.