945166 divided by 3 
Let's see how many times 3 fits into 945166.

Going ahead to step 1:
If we divide 9 by 3, we get 3 and a remainder of 0.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 9 from 9 to get 0.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 3

Moving on to step 2:
If we divide 4 by 3, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 31.0
The remainder is 1 after subtracting 3 from 4.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 3

Let's proceed to step 3:
15 divided by 3 is 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 315.0
If we subtract 15 from 15, we get 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 3

Let's proceed to step 4:
When dividing 1 by 3, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 3150.0
If we subtract 0 from 1, we get 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 3

Let's proceed to step 5:
3 can be fit into 16 5 times, resulting in a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 31505.0
If we take 15 away from 16, we end up with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 3

Let's proceed to step 6:
If we divide 16 by 3, we get 5 and a remainder of 1.
The next digit of our result is 5. 
Result so far: 315055.0
Subtracting 15 from 16 leaves us 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.

On to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 315055.3
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.

Advancing to step 8:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 315055.33
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.

In conclusion, the division gives 315055.33 with a balance of 0.001.