We look at the division of 557632 by 42 
We want to divide 557632 by 42.

Going ahead to step 1:
When dividing 5 by 42, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 42

Step 2:
The number 42 fits into 55 1 times, leaving a remainder of 13.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 42 from 55 and we're left with 13.
Fetch the next digit (7) from the dividend, attach it to 13 and continue: 137 / 42

Let's proceed to step 3:
The number 42 fits into 137 3 times, leaving a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 13.0
Deduct 126 from 137 and we're left with 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 42

Moving on to step 4:
116 divided by 42 is 2 with a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 132.0
The remainder is 32 after subtracting 84 from 116.
Include the next digit (3) from the dividend after 32, then repeat: 323 / 42

Going ahead to step 5:
42 can be fit into 323 7 times, resulting in a remainder of 29.
The number 7 becomes the next digit in our result. 
Result so far: 1327.0
The remainder is 29 after subtracting 294 from 323.
Bring next digit (2) of the dividend behind the 29 and repeat the process: 292 / 42

Advancing to step 6:
If we divide 292 by 42, we get 6 and a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 13276.0
Deduct 252 from 292 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 7:
42 can be fit into 400 9 times, resulting in a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 13276.9
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.

Moving on to step 8:
220 divided by 42 is 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 13276.95
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.

Going ahead to step 9:
42 can be fit into 100 2 times, resulting in a remainder of 16.
The next digit of our result is 2. 
Result so far: 13276.952
If we take 84 away from 100, 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.

Advancing to step 10:
When dividing 160 by 42, we get 3 with a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 13276.9523
Subtract 126 from 160 to 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.

Going ahead to step 11:
When dividing 340 by 42, we get 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 13276.95238
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.

Advancing to step 12:
42 goes into 40 0 times with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 13276.95238
The remainder is 40 after subtracting 0 from 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 13:
400 divided by 42 is 9 with a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 13276.9523809
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.

Going ahead to step 14:
The number 42 fits into 220 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 13276.95238095
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.

The quotient of the division is 13276.95238095, and the remainder is 1e-08.