We look at the division of 309775 by 6 
We want to divide 309775 by 6.

Moving on to step 1:
3 divided by 6 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 6

Going ahead to step 2:
30 divided by 6 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 30 from 30, we get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 6

Going ahead to step 3:
When dividing 9 by 6, we get 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 51.0
Subtracting 6 from 9 leaves us with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 6

Step 4:
The number 6 fits into 37 6 times, leaving a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 516.0
If we subtract 36 from 37, we get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 6

Going ahead to step 5:
6 goes into 17 2 times with a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 5162.0
Deduct 12 from 17 and we're left with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 6

Let's proceed to step 6:
If we divide 55 by 6, we get 9 and a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 51629.0
Deduct 54 from 55 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:
If we divide 10 by 6, we get 1 and a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 51629.1
Subtract 6 from 10 to 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.

Let's proceed to step 8:
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: 51629.16
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
6 goes into 40 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 51629.166
If we take 36 away from 40, we end up 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 final result is 51629.166 with a remainder of 0.0004.