We're dividing 318353 by 42 
We want to divide 318353 by 42.

Going ahead to step 1:
3 divided by 42 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 42

Advancing to step 2:
42 goes into 31 0 times with a remainder of 31.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 31, we get 31.
Grab the next digit (8) from the dividend, add it to 31, then carry on: 318 / 42

Let's proceed to step 3:
When dividing 318 by 42, we get 7 with a remainder of 24.
Put 7 as the next digit of the answer. 
Result so far: 7.0
The remainder is 24 after subtracting 294 from 318.
Include the next digit (3) from the dividend after 24, then repeat: 243 / 42

Step 4:
243 divided by 42 is 5 with a remainder of 33.
Use 5 as the next digit of our solution. 
Result so far: 75.0
Subtract 210 from 243 to get 33.
Take the next digit (5) from the dividend and append it to 33, then repeat: 335 / 42

Advancing to step 5:
If we divide 335 by 42, we get 7 and a remainder of 41.
Write down 7 as next digit of the result. 
Result so far: 757.0
Deduct 294 from 335 and we're left with 41.
Bring next digit (3) of the dividend behind the 41 and repeat the process: 413 / 42

Going ahead to step 6:
The number 42 fits into 413 9 times, leaving a remainder of 35.
Write down 9 as next digit of the result. 
Result so far: 7579.0
If we take 378 away from 413, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 7:
350 divided by 42 is 8 with a remainder of 14.
The next digit of our result is 8. 
Result so far: 7579.8
If we take 336 away from 350, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 8:
When dividing 140 by 42, we get 3 with a remainder of 14.
The next digit of our result is 3. 
Result so far: 7579.83
If we take 126 away from 140, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 9:
42 goes into 140 3 times with a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 7579.833
Subtracting 126 from 140 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 7579.833, and the remainder is 0.0014.