556321 divided by 42 
We're looking to find how many times 42 goes into 556321.

Step 1:
42 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 42

Going ahead to step 2:
42 goes into 55 1 times with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 42 from 55 leaves us with 13.
Include the next digit (6) from the dividend after 13, then repeat: 136 / 42

Going ahead to step 3:
The number 42 fits into 136 3 times, leaving a remainder of 10.
The next digit of our result is 3. 
Result so far: 13.0
The remainder is 10 after subtracting 126 from 136.
Grab the next digit (3) from the dividend, add it to 10, then carry on: 103 / 42

On to step 4:
The number 42 fits into 103 2 times, leaving a remainder of 19.
Write down 2 as next digit of the result. 
Result so far: 132.0
The remainder is 19 after subtracting 84 from 103.
Grab the next digit (2) from the dividend, add it to 19, then carry on: 192 / 42

Going ahead to step 5:
192 divided by 42 is 4 with a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 1324.0
If we take 168 away from 192, we end up with 24.
Grab the next digit (1) from the dividend, add it to 24, then carry on: 241 / 42

Going ahead to step 6:
When dividing 241 by 42, we get 5 with a remainder of 31.
The next digit of our result is 5. 
Result so far: 13245.0
If we subtract 210 from 241, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 7:
The number 42 fits into 310 7 times, leaving a remainder of 16.
Record the quotient 7 as the next digit in the result. 
Result so far: 13245.7
Subtracting 294 from 310 leaves us 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.

On to step 8:
160 divided by 42 is 3 with a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 13245.73
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.

On to step 9:
42 goes into 340 8 times with a remainder of 4.
The next digit of our result is 8. 
Result so far: 13245.738
Subtract 336 from 340 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 10:
If we divide 40 by 42, we get 0 and a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 13245.738
Subtract 0 from 40 to get 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 11:
When dividing 400 by 42, we get 9 with a remainder of 22.
The next digit of our result is 9. 
Result so far: 13245.73809
The remainder is 22 after subtracting 378 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 12:
220 divided by 42 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 13245.738095
If we subtract 210 from 220, 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.

Moving on to step 13:
When dividing 100 by 42, we get 2 with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 13245.7380952
Subtracting 84 from 100 leaves us 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.

Going ahead to step 14:
160 divided by 42 is 3 with a remainder of 34.
Record the quotient 3 as the next digit in the result. 
Result so far: 13245.73809523
If we subtract 126 from 160, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final outcome is 13245.73809523, with a leftover of 3.4e-08.