333559 ÷ 42 
We want to figure out the number of times 333559 can be divided by 42.

Step 1:
42 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 42

On to step 2:
42 can be fit into 33 0 times, resulting in a remainder of 33.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 33, we end up with 33.
Grab the next digit (3) from the dividend, add it to 33, then carry on: 333 / 42

Going ahead to step 3:
42 can be fit into 333 7 times, resulting in a remainder of 39.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we subtract 294 from 333, we get 39.
Bring next digit (5) of the dividend behind the 39 and repeat the process: 395 / 42

Let's proceed to step 4:
When dividing 395 by 42, we get 9 with a remainder of 17.
The number 9 becomes the next digit in our result. 
Result so far: 79.0
Deduct 378 from 395 and we're left with 17.
Grab the next digit (5) from the dividend, add it to 17, then carry on: 175 / 42

Going ahead to step 5:
42 goes into 175 4 times with a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 794.0
Deduct 168 from 175 and we're left with 7.
Grab the next digit (9) from the dividend, add it to 7, then carry on: 79 / 42

Going ahead to step 6:
79 divided by 42 is 1 with a remainder of 37.
Write down 1 as next digit of the result. 
Result so far: 7941.0
Subtract 42 from 79 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 7:
When dividing 370 by 42, we get 8 with a remainder of 34.
Write down 8 as next digit of the result. 
Result so far: 7941.8
Deduct 336 from 370 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 8:
42 can be fit into 340 8 times, resulting in a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 7941.88
Subtracting 336 from 340 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 7941.88, and the remainder is 0.004.