We're dividing 942259 by 3 
We want to divide 942259 by 3.

Step 1:
3 can be fit into 9 3 times, resulting in a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we subtract 9 from 9, we get 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 3

On to step 2:
3 can be fit into 4 1 times, resulting in a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 31.0
Deduct 3 from 4 and we're left with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 3

On to step 3:
3 goes into 12 4 times with a remainder of 0.
The next digit of our result is 4. 
Result so far: 314.0
The remainder is 0 after subtracting 12 from 12.
Append the next digit (2) from the dividend to 0 and continue with: 2 / 3

Let's proceed to step 4:
3 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 3140.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 3

Moving on to step 5:
3 can be fit into 25 8 times, resulting in a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 31408.0
The remainder is 1 after subtracting 24 from 25.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 3

Going ahead to step 6:
The number 3 fits into 19 6 times, leaving a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 314086.0
The remainder is 1 after subtracting 18 from 19.
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:
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: 314086.3
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.

Let's proceed to step 8:
When dividing 10 by 3, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 314086.33
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.

After the division, we end up with 314086.33 and a remainder of 0.001.