We're dividing 705392 by 6 
We're looking to find how many times 6 goes into 705392.

Advancing to step 1:
6 can be fit into 7 1 times, resulting in a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 6 from 7 to get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 6

On to step 2:
When dividing 10 by 6, we get 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we subtract 6 from 10, we get 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 6

Let's proceed to step 3:
45 divided by 6 is 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 117.0
Subtract 42 from 45 to get 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 6

Let's proceed to step 4:
6 goes into 33 5 times with a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 1175.0
Deduct 30 from 33 and we're left with 3.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 6

Let's proceed to step 5:
When dividing 39 by 6, we get 6 with a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 11756.0
Subtracting 36 from 39 leaves us with 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 6

Moving on to step 6:
32 divided by 6 is 5 with a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 117565.0
Subtract 30 from 32 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.

Advancing to step 7:
6 can be fit into 20 3 times, resulting in a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 117565.3
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.

On to step 8:
If we divide 20 by 6, we get 3 and a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 117565.33
If we subtract 18 from 20, 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.

The final result is 117565.33 with a remainder of 0.002.