We're dividing 627943 by 3 
We want to divide 627943 by 3.

On to step 1:
3 can be fit into 6 2 times, resulting in a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtracting 6 from 6 leaves us with 0.
Grab the next digit (2) from the dividend, add it to 0, then carry on: 2 / 3

On to step 2:
2 divided by 3 is 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 20.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 3

Let's proceed to step 3:
3 goes into 27 9 times with a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 209.0
The remainder is 0 after subtracting 27 from 27.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 3

Advancing to step 4:
9 divided by 3 is 3 with a remainder of 0.
The next digit of our result is 3. 
Result so far: 2093.0
If we subtract 9 from 9, we get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 3

Let's proceed to step 5:
The number 3 fits into 4 1 times, leaving a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 20931.0
Subtracting 3 from 4 leaves us with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 3

Advancing to step 6:
3 can be fit into 13 4 times, resulting in a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 209314.0
Deduct 12 from 13 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.

On to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 209314.3
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.

Advancing to step 8:
When dividing 10 by 3, we get 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 209314.33
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.

The quotient of the division is 209314.33, and the remainder is 0.001.