We're dividing 557566 by 42 
We want to divide 557566 by 42.

Advancing to step 1:
The number 42 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 42

Step 2:
55 divided by 42 is 1 with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 42 from 55 and we're left with 13.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 42

On 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
If we subtract 126 from 137, we get 11.
Append the next digit (5) from the dividend to 11 and continue with: 115 / 42

Moving on to step 4:
115 divided by 42 is 2 with a remainder of 31.
The next digit of our result is 2. 
Result so far: 132.0
Subtracting 84 from 115 leaves us with 31.
Fetch the next digit (6) from the dividend, attach it to 31 and continue: 316 / 42

Moving on to step 5:
The number 42 fits into 316 7 times, leaving a remainder of 22.
Record the quotient 7 as the next digit in the result. 
Result so far: 1327.0
Subtract 294 from 316 to get 22.
Grab the next digit (6) from the dividend, add it to 22, then carry on: 226 / 42

Going ahead to step 6:
When dividing 226 by 42, we get 5 with a remainder of 16.
The next digit of our result is 5. 
Result so far: 13275.0
If we take 210 away from 226, 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.

Going ahead to step 7:
The number 42 fits into 160 3 times, leaving a remainder of 34.
The next digit of our result is 3. 
Result so far: 13275.3
The remainder is 34 after subtracting 126 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 8:
The number 42 fits into 340 8 times, leaving a remainder of 4.
The next digit of our result is 8. 
Result so far: 13275.38
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 9:
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: 13275.38
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.

On to step 10:
42 can be fit into 400 9 times, resulting in a remainder of 22.
Use 9 as the next digit of our solution. 
Result so far: 13275.3809
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.

On to step 11:
220 divided by 42 is 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 13275.38095
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.

Advancing to step 12:
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: 13275.380952
Deduct 84 from 100 and we're left 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.

Moving on to step 13:
The number 42 fits into 160 3 times, leaving a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 13275.3809523
Deduct 126 from 160 and we're left 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.

Going ahead to step 14:
340 divided by 42 is 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 13275.38095238
The remainder is 4 after subtracting 336 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 13275.38095238 and a remainder of 4e-09.