We're dividing 673361 by 6 
We're looking to find how many times 6 goes into 673361.

Step 1:
6 can be fit into 6 1 times, resulting in a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 6 from 6 and we're left with 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 6

Advancing to step 2:
If we divide 7 by 6, we get 1 and a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 11.0
The remainder is 1 after subtracting 6 from 7.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 6

Moving on to step 3:
13 divided by 6 is 2 with a remainder of 1.
The next digit of our result is 2. 
Result so far: 112.0
The remainder is 1 after subtracting 12 from 13.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 6

Moving on to step 4:
6 can be fit into 13 2 times, resulting in a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 1122.0
If we take 12 away from 13, we end up with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 6

On to step 5:
If we divide 16 by 6, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 11222.0
Subtract 12 from 16 to get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 6

Let's proceed to step 6:
When dividing 41 by 6, we get 6 with a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 112226.0
Subtract 36 from 41 to 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:
When dividing 50 by 6, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 112226.8
If we subtract 48 from 50, we 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.

Let's proceed to step 8:
When dividing 20 by 6, we get 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 112226.83
Subtracting 18 from 20 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.

Step 9:
6 can be fit into 20 3 times, resulting in a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 112226.833
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.

In conclusion, the division gives 112226.833 with a balance of 0.0002.