We divide 511523 by 42
We want to divide 511523 by 42.

Going ahead to step 1:
When dividing 5 by 42, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 42

On to step 2:
42 goes into 51 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 42 from 51 to get 9.
Fetch the next digit (1) from the dividend, attach it to 9 and continue: 91 / 42

Going ahead to step 3:
42 goes into 91 2 times with a remainder of 7.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we subtract 84 from 91, we get 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 42

Let's proceed to step 4:
When dividing 75 by 42, we get 1 with a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 121.0
Subtracting 42 from 75 leaves us with 33.
Append the next digit (2) from the dividend to 33 and continue with: 332 / 42

Step 5:
42 can be fit into 332 7 times, resulting in a remainder of 38.
Write down 7 as next digit of the result. 
Result so far: 1217.0
Deduct 294 from 332 and we're left with 38.
Take the next digit (3) from the dividend and append it to 38, then repeat: 383 / 42

Let's proceed to step 6:
The number 42 fits into 383 9 times, leaving a remainder of 5.
The next digit of our result is 9. 
Result so far: 12179.0
If we take 378 away from 383, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
42 can be fit into 50 1 times, resulting in a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 12179.1
Subtracting 42 from 50 leaves us 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.

Step 8:
The number 42 fits into 80 1 times, leaving a remainder of 38.
Write down 1 as next digit of the result. 
Result so far: 12179.11
If we take 42 away from 80, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

After the division, we end up with 12179.11 and a remainder of 0.038.