Let's divide 632278 by 3
We're looking to find how many times 3 goes into 632278.

Going ahead to step 1:
If we divide 6 by 3, we get 2 and a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 0 after subtracting 6 from 6.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 3

Step 2:
3 divided by 3 is 1 with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 21.0
The remainder is 0 after subtracting 3 from 3.
Grab the next digit (2) from the dividend, add it to 0, then carry on: 2 / 3

On to step 3:
3 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 210.0
Subtract 0 from 2 to get 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 3

Advancing to step 4:
3 can be fit into 22 7 times, resulting in a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 2107.0
The remainder is 1 after subtracting 21 from 22.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 3

Let's proceed to step 5:
17 divided by 3 is 5 with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 21075.0
Subtracting 15 from 17 leaves us with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 3

Moving on to step 6:
The number 3 fits into 28 9 times, leaving a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 210759.0
Subtracting 27 from 28 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.

Advancing 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: 210759.3
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.

Step 8:
If we divide 10 by 3, we get 3 and a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 210759.33
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 210759.33 with a balance of 0.001.