952414 ÷ 3 
Our goal is to divide 952414 by 3.

On to step 1:
When dividing 9 by 3, we get 3 with a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 9 from 9 leaves us with 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 3

Let's proceed to step 2:
The number 3 fits into 5 1 times, leaving a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 31.0
Subtracting 3 from 5 leaves us with 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 3

Moving on to step 3:
When dividing 22 by 3, we get 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 317.0
If we subtract 21 from 22, we get 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 3

Advancing to step 4:
3 can be fit into 14 4 times, resulting in a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 3174.0
If we subtract 12 from 14, we get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 3

Step 5:
The number 3 fits into 21 7 times, leaving a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 31747.0
Deduct 21 from 21 and we're left with 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 3

Let's proceed to step 6:
3 can be fit into 4 1 times, resulting in a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 317471.0
The remainder is 1 after subtracting 3 from 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
When dividing 10 by 3, we get 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 317471.3
Subtracting 9 from 10 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.

Moving on to step 8:
If we divide 10 by 3, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 317471.33
Deduct 9 from 10 and we're left 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 317471.33 with a balance of 0.001.