706142 divided by 6 
We want to figure out the number of times 706142 can be divided by 6.

Moving on to step 1:
6 can be fit into 7 1 times, resulting in a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 6 from 7, we get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 6

Advancing to step 2:
If we divide 10 by 6, we get 1 and a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we take 6 away from 10, we end up with 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 6

Moving on to step 3:
46 divided by 6 is 7 with a remainder of 4.
The next digit of our result is 7. 
Result so far: 117.0
If we subtract 42 from 46, we get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 6

Moving on to step 4:
6 can be fit into 41 6 times, resulting in a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 1176.0
Subtracting 36 from 41 leaves us with 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 6

On to step 5:
54 divided by 6 is 9 with a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 11769.0
Deduct 54 from 54 and we're left with 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 6

Advancing to step 6:
When dividing 2 by 6, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 117690.0
If we take 0 away from 2, 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.

Advancing to step 7:
If we divide 20 by 6, we get 3 and a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 117690.3
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.

Let's proceed to step 8:
20 divided by 6 is 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 117690.33
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.

The quotient of the division is 117690.33, and the remainder is 0.002.