We look at the division of 313670 by 42 
We're looking to find how many times 42 goes into 313670.

Advancing to step 1:
42 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 42

Let's proceed to step 2:
42 goes into 31 0 times with a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 31, we end up with 31.
Append the next digit (3) from the dividend to 31 and continue with: 313 / 42

Moving on to step 3:
313 divided by 42 is 7 with a remainder of 19.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 19 after subtracting 294 from 313.
Include the next digit (6) from the dividend after 19, then repeat: 196 / 42

Step 4:
42 can be fit into 196 4 times, resulting in a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 74.0
Subtract 168 from 196 to get 28.
Include the next digit (7) from the dividend after 28, then repeat: 287 / 42

Step 5:
42 can be fit into 287 6 times, resulting in a remainder of 35.
Record the quotient 6 as the next digit in the result. 
Result so far: 746.0
If we take 252 away from 287, we end up with 35.
Append the next digit (0) from the dividend to 35 and continue with: 350 / 42

Step 6:
The number 42 fits into 350 8 times, leaving a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 7468.0
If we subtract 336 from 350, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 7:
42 goes into 140 3 times with a remainder of 14.
The next digit of our result is 3. 
Result so far: 7468.3
The remainder is 14 after subtracting 126 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 8:
When dividing 140 by 42, we get 3 with a remainder of 14.
Write down 3 as next digit of the result. 
Result so far: 7468.33
The remainder is 14 after subtracting 126 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

After the division, we end up with 7468.33 and a remainder of 0.014.