We divide 341675 by 6
We're looking to find how many times 6 goes into 341675.

Moving on to step 1:
The number 6 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 6

On to step 2:
When dividing 34 by 6, we get 5 with a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 30 away from 34, we end up with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 6

Moving on to step 3:
When dividing 41 by 6, we get 6 with a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 56.0
Deduct 36 from 41 and we're left with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 6

On to step 4:
6 can be fit into 56 9 times, resulting in a remainder of 2.
The next digit of our result is 9. 
Result so far: 569.0
Subtract 54 from 56 to get 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 6

Step 5:
6 goes into 27 4 times with a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 5694.0
If we subtract 24 from 27, we get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 6

Let's proceed to step 6:
If we divide 35 by 6, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 56945.0
The remainder is 5 after subtracting 30 from 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
50 divided by 6 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 56945.8
Subtracting 48 from 50 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
6 goes into 20 3 times with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 56945.83
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 9:
When dividing 20 by 6, we get 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 56945.833
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 56945.833, and the remainder is 0.0002.