257761 ÷ 6 
We want to divide 257761 by 6.

Advancing to step 1:
6 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 6

Moving on to step 2:
The number 6 fits into 25 4 times, leaving a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 24 from 25 leaves us with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 6

Going ahead to step 3:
When dividing 17 by 6, we get 2 with a remainder of 5.
The next digit of our result is 2. 
Result so far: 42.0
If we take 12 away from 17, we end up with 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 6

Step 4:
The number 6 fits into 57 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 429.0
Deduct 54 from 57 and we're left with 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 6

Going ahead to step 5:
The number 6 fits into 36 6 times, leaving a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 4296.0
Subtracting 36 from 36 leaves us with 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 6

Let's proceed to step 6:
If we divide 1 by 6, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 42960.0
The remainder is 1 after subtracting 0 from 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
10 divided by 6 is 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 42960.1
Deduct 6 from 10 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
6 can be fit into 40 6 times, resulting in a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 42960.16
If we subtract 36 from 40, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
If we divide 40 by 6, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 42960.166
Deduct 36 from 40 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 42960.166, and the remainder is 0.0004.