We're dividing 434056 by 42 
We're looking to find how many times 42 goes into 434056.

Moving on to step 1:
42 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 42

Moving on to step 2:
42 goes into 43 1 times with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 42 from 43, we get 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 42

Moving on to step 3:
42 can be fit into 14 0 times, resulting in a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 14, we get 14.
Take the next digit (0) from the dividend and append it to 14, then repeat: 140 / 42

Moving on to step 4:
If we divide 140 by 42, we get 3 and a remainder of 14.
Write down 3 as next digit of the result. 
Result so far: 103.0
If we subtract 126 from 140, we get 14.
Grab the next digit (5) from the dividend, add it to 14, then carry on: 145 / 42

Step 5:
When dividing 145 by 42, we get 3 with a remainder of 19.
Use 3 as the next digit of our solution. 
Result so far: 1033.0
Subtracting 126 from 145 leaves us with 19.
Take the next digit (6) from the dividend and append it to 19, then repeat: 196 / 42

Step 6:
When dividing 196 by 42, we get 4 with a remainder of 28.
The next digit of our result is 4. 
Result so far: 10334.0
Subtract 168 from 196 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 7:
When dividing 280 by 42, we get 6 with a remainder of 28.
The next digit of our result is 6. 
Result so far: 10334.6
If we subtract 252 from 280, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 8:
280 divided by 42 is 6 with a remainder of 28.
The number 6 becomes the next digit in our result. 
Result so far: 10334.66
Subtracting 252 from 280 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.

The quotient of the division is 10334.66, and the remainder is 0.028.