We're dividing 473414 by 3 
Our goal is to divide 473414 by 3.

On to step 1:
If we divide 4 by 3, we get 1 and a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 3 from 4 leaves us with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 3

Going ahead to step 2:
If we divide 17 by 3, we get 5 and a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
Subtract 15 from 17 to get 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 3

Advancing to step 3:
When dividing 23 by 3, we get 7 with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 157.0
Subtracting 21 from 23 leaves us with 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 3

Advancing to step 4:
3 can be fit into 24 8 times, resulting in a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 1578.0
Subtracting 24 from 24 leaves us with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 3

On to step 5:
1 divided by 3 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 15780.0
If we subtract 0 from 1, we get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 3

On to step 6:
If we divide 14 by 3, we get 4 and a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 157804.0
Deduct 12 from 14 and we're left 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 7:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 157804.6
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:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 157804.66
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.

In conclusion, the division gives 157804.66 with a balance of 0.002.