We're dividing 509629 by 42 
We want to figure out the number of times 509629 can be divided by 42.

Moving on to step 1:
If we divide 5 by 42, we get 0 and 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.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 42

Advancing to step 2:
The number 42 fits into 50 1 times, leaving a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 42 from 50 leaves us with 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 42

Step 3:
42 can be fit into 89 2 times, resulting in a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtract 84 from 89 to get 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 42

Let's proceed to step 4:
42 goes into 56 1 times with a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 121.0
If we take 42 away from 56, we end up with 14.
Fetch the next digit (2) from the dividend, attach it to 14 and continue: 142 / 42

On to step 5:
42 goes into 142 3 times with a remainder of 16.
Write down 3 as next digit of the result. 
Result so far: 1213.0
If we subtract 126 from 142, we get 16.
Take the next digit (9) from the dividend and append it to 16, then repeat: 169 / 42

Advancing to step 6:
If we divide 169 by 42, we get 4 and a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 12134.0
Subtracting 168 from 169 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
42 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 12134.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
The number 42 fits into 100 2 times, leaving a remainder of 16.
The next digit of our result is 2. 
Result so far: 12134.02
The remainder is 16 after subtracting 84 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 9:
42 can be fit into 160 3 times, resulting in a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 12134.023
If we take 126 away from 160, we end up 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 10:
The number 42 fits into 340 8 times, leaving a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 12134.0238
Deduct 336 from 340 and we're left 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.

Step 11:
When dividing 40 by 42, we get 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 12134.0238
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 12:
When dividing 400 by 42, we get 9 with a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 12134.023809
Deduct 378 from 400 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 13:
42 goes into 220 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 12134.0238095
Subtracting 210 from 220 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 14:
42 can be fit into 100 2 times, resulting in a remainder of 16.
The next digit of our result is 2. 
Result so far: 12134.02380952
If we take 84 away from 100, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 12134.02380952 with a balance of 1.6e-08.