We divide 534455 by 42
We're looking to find how many times 42 goes into 534455.

On to step 1:
5 divided by 42 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 42

Moving on to step 2:
If we divide 53 by 42, we get 1 and a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 42 from 53 and we're left with 11.
Include the next digit (4) from the dividend after 11, then repeat: 114 / 42

Advancing to step 3:
The number 42 fits into 114 2 times, leaving a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Deduct 84 from 114 and we're left with 30.
Fetch the next digit (4) from the dividend, attach it to 30 and continue: 304 / 42

On to step 4:
When dividing 304 by 42, we get 7 with a remainder of 10.
The next digit of our result is 7. 
Result so far: 127.0
If we take 294 away from 304, we end up with 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 42

Step 5:
If we divide 105 by 42, we get 2 and a remainder of 21.
Use 2 as the next digit of our solution. 
Result so far: 1272.0
Subtract 84 from 105 to get 21.
Append the next digit (5) from the dividend to 21 and continue with: 215 / 42

Advancing to step 6:
215 divided by 42 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 12725.0
Subtract 210 from 215 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
If we divide 50 by 42, we get 1 and a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 12725.1
If we take 42 away from 50, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 8:
42 can be fit into 80 1 times, resulting in a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 12725.11
If we subtract 42 from 80, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The quotient of the division is 12725.11, and the remainder is 0.038.