645278 ÷ 3 
We want to divide 645278 by 3.

Step 1:
3 can be fit into 6 2 times, resulting in a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 6 from 6 to get 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 3

Moving on to step 2:
When dividing 4 by 3, we get 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
Subtract 3 from 4 to get 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 3

Moving on to step 3:
3 can be fit into 15 5 times, resulting in a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 215.0
If we subtract 15 from 15, we get 0.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 3

Going ahead to step 4:
3 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 2150.0
The remainder is 2 after subtracting 0 from 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 3

Advancing to step 5:
When dividing 27 by 3, we get 9 with a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 21509.0
If we subtract 27 from 27, we get 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 3

Step 6:
If we divide 8 by 3, we get 2 and a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 215092.0
Deduct 6 from 8 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 215092.6
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
When dividing 20 by 3, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 215092.66
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 215092.66 with a balance of 0.002.