We're dividing 500557 by 42 
We're looking to find how many times 42 goes into 500557.

Going ahead 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
If we take 0 away from 5, we end up with 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 42

Step 2:
42 goes into 50 1 times with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 42 from 50, we get 8.
Take the next digit (0) from the dividend and append it to 8, then repeat: 80 / 42

Let's proceed to step 3:
The number 42 fits into 80 1 times, leaving a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we take 42 away from 80, we end up with 38.
Fetch the next digit (5) from the dividend, attach it to 38 and continue: 385 / 42

On to step 4:
The number 42 fits into 385 9 times, leaving a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 119.0
Subtracting 378 from 385 leaves us with 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 42

Moving on to step 5:
42 goes into 75 1 times with a remainder of 33.
The number 1 becomes the next digit in our result. 
Result so far: 1191.0
Subtract 42 from 75 to get 33.
Bring next digit (7) of the dividend behind the 33 and repeat the process: 337 / 42

Advancing to step 6:
42 goes into 337 8 times with a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 11918.0
If we subtract 336 from 337, we get 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.
The next digit of our result is 0. 
Result so far: 11918.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
If we divide 100 by 42, we get 2 and a remainder of 16.
The next digit of our result is 2. 
Result so far: 11918.02
If we subtract 84 from 100, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 9:
The number 42 fits into 160 3 times, leaving a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 11918.023
Subtracting 126 from 160 leaves us 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.

On to step 10:
340 divided by 42 is 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 11918.0238
Subtracting 336 from 340 leaves us 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.

Going ahead to step 11:
The number 42 fits into 40 0 times, leaving a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 11918.0238
Deduct 0 from 40 and we're left 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.

Advancing to step 12:
400 divided by 42 is 9 with a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 11918.023809
Subtract 378 from 400 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 13:
When dividing 220 by 42, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 11918.0238095
If we take 210 away from 220, we end up 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.

On to step 14:
If we divide 100 by 42, we get 2 and a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 11918.02380952
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.

The final result is 11918.02380952 with a remainder of 1.6e-08.