We divide 257761 by 3
We're looking to find how many times 3 goes into 257761.

On to step 1:
3 goes into 2 0 times 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.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 3

Let's proceed to step 2:
If we divide 25 by 3, we get 8 and a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtract 24 from 25 to get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 3

On to step 3:
If we divide 17 by 3, we get 5 and a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 85.0
Subtract 15 from 17 to get 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 3

Going ahead to step 4:
If we divide 27 by 3, we get 9 and a remainder of 0.
The next digit of our result is 9. 
Result so far: 859.0
If we subtract 27 from 27, we get 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 3

On to step 5:
3 goes into 6 2 times with a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 8592.0
Subtract 6 from 6 to get 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 3

Step 6:
If we divide 1 by 3, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 85920.0
Subtract 0 from 1 to get 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:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 85920.3
Subtract 9 from 10 to get 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:
If we divide 10 by 3, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 85920.33
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.

The quotient of the division is 85920.33, and the remainder is 0.001.