470965 ÷ 3 
We're looking to find how many times 3 goes into 470965.

Advancing to step 1:
The number 3 fits into 4 1 times, leaving a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 3 from 4 and we're left with 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 3

On to step 2:
If we divide 17 by 3, we get 5 and a remainder of 2.
The next digit of our result is 5. 
Result so far: 15.0
Deduct 15 from 17 and we're left with 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 3

Step 3:
The number 3 fits into 20 6 times, leaving a remainder of 2.
The next digit of our result is 6. 
Result so far: 156.0
If we take 18 away from 20, we end up with 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 3

Let's proceed to step 4:
29 divided by 3 is 9 with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 1569.0
If we subtract 27 from 29, we get 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 3

Let's proceed to step 5:
When dividing 26 by 3, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 15698.0
If we subtract 24 from 26, we get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 3

Step 6:
If we divide 25 by 3, we get 8 and a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 156988.0
The remainder is 1 after subtracting 24 from 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 156988.3
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 8:
10 divided by 3 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 156988.33
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.

In conclusion, the division gives 156988.33 with a balance of 0.001.