We're dividing 255963 by 66 
We want to divide 255963 by 66.

Moving on to step 1:
When dividing 2 by 66, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 66

On to step 2:
66 goes into 25 0 times with a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Grab the next digit (5) from the dividend, add it to 25, then carry on: 255 / 66

Going ahead to step 3:
When dividing 255 by 66, we get 3 with a remainder of 57.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 198 from 255, we get 57.
Take the next digit (9) from the dividend and append it to 57, then repeat: 579 / 66

Moving on to step 4:
579 divided by 66 is 8 with a remainder of 51.
Use 8 as the next digit of our solution. 
Result so far: 38.0
If we take 528 away from 579, we end up with 51.
Append the next digit (6) from the dividend to 51 and continue with: 516 / 66

Going ahead to step 5:
516 divided by 66 is 7 with a remainder of 54.
The next digit of our result is 7. 
Result so far: 387.0
Deduct 462 from 516 and we're left with 54.
Bring next digit (3) of the dividend behind the 54 and repeat the process: 543 / 66

Let's proceed to step 6:
The number 66 fits into 543 8 times, leaving a remainder of 15.
Write down 8 as next digit of the result. 
Result so far: 3878.0
Deduct 528 from 543 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
The number 66 fits into 150 2 times, leaving a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 3878.2
If we take 132 away from 150, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 8:
The number 66 fits into 180 2 times, leaving a remainder of 48.
The next digit of our result is 2. 
Result so far: 3878.22
If we subtract 132 from 180, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

The quotient of the division is 3878.22, and the remainder is 0.048.