We divide 345413 by 6
We're looking to find how many times 6 goes into 345413.

Going ahead to step 1:
If we divide 3 by 6, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 6

Moving on to step 2:
If we divide 34 by 6, we get 5 and a remainder of 4.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 4 after subtracting 30 from 34.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 6

Let's proceed to step 3:
When dividing 45 by 6, we get 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 57.0
Subtract 42 from 45 to get 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 6

Step 4:
The number 6 fits into 34 5 times, leaving a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 575.0
Subtracting 30 from 34 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 6

Step 5:
6 goes into 41 6 times with a remainder of 5.
The next digit of our result is 6. 
Result so far: 5756.0
Deduct 36 from 41 and we're left with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 6

Going ahead to step 6:
6 goes into 53 8 times with a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 57568.0
If we subtract 48 from 53, we get 5.
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:
The number 6 fits into 50 8 times, leaving a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 57568.8
If we take 48 away from 50, we end up 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.

Moving on to step 8:
The number 6 fits into 20 3 times, leaving a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 57568.83
If we take 18 away from 20, we end up 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.

Going ahead to step 9:
When dividing 20 by 6, we get 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 57568.833
Deduct 18 from 20 and we're left 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.

The final result is 57568.833 with a remainder of 0.0002.