557631 ÷ 42 
Let's see how many times 42 fits into 557631.

Let's proceed to step 1:
If we divide 5 by 42, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 42

Moving on to step 2:
42 can be fit into 55 1 times, resulting in a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 42 from 55 to get 13.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 42

Going ahead to step 3:
137 divided by 42 is 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Deduct 126 from 137 and we're left with 11.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 42

Advancing to step 4:
The number 42 fits into 116 2 times, leaving a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 132.0
If we take 84 away from 116, we end up with 32.
Append the next digit (3) from the dividend to 32 and continue with: 323 / 42

On to step 5:
The number 42 fits into 323 7 times, leaving a remainder of 29.
The number 7 becomes the next digit in our result. 
Result so far: 1327.0
Subtracting 294 from 323 leaves us with 29.
Bring next digit (1) of the dividend behind the 29 and repeat the process: 291 / 42

Moving on to step 6:
42 can be fit into 291 6 times, resulting in a remainder of 39.
The next digit of our result is 6. 
Result so far: 13276.0
Deduct 252 from 291 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 7:
390 divided by 42 is 9 with a remainder of 12.
The number 9 becomes the next digit in our result. 
Result so far: 13276.9
Deduct 378 from 390 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
The number 42 fits into 120 2 times, leaving a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 13276.92
The remainder is 36 after subtracting 84 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 9:
42 can be fit into 360 8 times, resulting in a remainder of 24.
The next digit of our result is 8. 
Result so far: 13276.928
Deduct 336 from 360 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 10:
42 goes into 240 5 times with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 13276.9285
If we subtract 210 from 240, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 11:
42 can be fit into 300 7 times, resulting in a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 13276.92857
Subtract 294 from 300 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 12:
42 goes into 60 1 times with a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 13276.928571
If we take 42 away from 60, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 13:
When dividing 180 by 42, we get 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 13276.9285714
The remainder is 12 after subtracting 168 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 14:
The number 42 fits into 120 2 times, leaving a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 13276.92857142
Deduct 84 from 120 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

In conclusion, the division gives 13276.92857142 with a balance of 3.6e-08.