557291 ÷ 42 
We want to divide 557291 by 42.

Let's proceed 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 subtract 0 from 5, we get 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 42

Advancing to step 2:
The number 42 fits into 55 1 times, leaving a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 42 away from 55, we end up with 13.
Bring next digit (7) of the dividend behind the 13 and repeat the process: 137 / 42

Step 3:
42 goes into 137 3 times with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Subtracting 126 from 137 leaves us with 11.
Bring next digit (2) of the dividend behind the 11 and repeat the process: 112 / 42

Step 4:
The number 42 fits into 112 2 times, leaving a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 132.0
The remainder is 28 after subtracting 84 from 112.
Take the next digit (9) from the dividend and append it to 28, then repeat: 289 / 42

Advancing to step 5:
42 goes into 289 6 times with a remainder of 37.
Use 6 as the next digit of our solution. 
Result so far: 1326.0
The remainder is 37 after subtracting 252 from 289.
Take the next digit (1) from the dividend and append it to 37, then repeat: 371 / 42

Going ahead to step 6:
42 can be fit into 371 8 times, resulting in a remainder of 35.
Write down 8 as next digit of the result. 
Result so far: 13268.0
If we take 336 away from 371, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 7:
350 divided by 42 is 8 with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 13268.8
If we subtract 336 from 350, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 8:
42 goes into 140 3 times with a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 13268.83
If we subtract 126 from 140, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 9:
The number 42 fits into 140 3 times, leaving a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 13268.833
If we take 126 away from 140, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 13268.833, and the remainder is 0.0014.