We're dividing 334915 by 42 
We want to divide 334915 by 42.

Moving on 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
Deduct 0 from 3 and we're left with 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 42

Moving on to step 2:
42 goes into 33 0 times with a remainder of 33.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 33 leaves us with 33.
Take the next digit (4) from the dividend and append it to 33, then repeat: 334 / 42

Let's proceed to step 3:
42 goes into 334 7 times with a remainder of 40.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 294 from 334 and we're left with 40.
Fetch the next digit (9) from the dividend, attach it to 40 and continue: 409 / 42

Going ahead to step 4:
The number 42 fits into 409 9 times, leaving a remainder of 31.
The next digit of our result is 9. 
Result so far: 79.0
If we take 378 away from 409, we end up with 31.
Take the next digit (1) from the dividend and append it to 31, then repeat: 311 / 42

Advancing to step 5:
42 goes into 311 7 times with a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 797.0
If we subtract 294 from 311, we get 17.
Take the next digit (5) from the dividend and append it to 17, then repeat: 175 / 42

Moving on to step 6:
42 can be fit into 175 4 times, resulting in a remainder of 7.
The number 4 becomes the next digit in our result. 
Result so far: 7974.0
Subtract 168 from 175 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
The number 42 fits into 70 1 times, leaving a remainder of 28.
Put 1 as the next digit of the answer. 
Result so far: 7974.1
Subtracting 42 from 70 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 8:
42 can be fit into 280 6 times, resulting in a remainder of 28.
The next digit of our result is 6. 
Result so far: 7974.16
Deduct 252 from 280 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 9:
The number 42 fits into 280 6 times, leaving a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 7974.166
Deduct 252 from 280 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final result is 7974.166 with a remainder of 0.0028.