We look at the division of 553489 by 42 
We're looking to find how many times 42 goes into 553489.

Step 1:
When dividing 5 by 42, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 42

Let's proceed to step 2:
The number 42 fits into 55 1 times, leaving a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 42 from 55 to get 13.
Bring next digit (3) of the dividend behind the 13 and repeat the process: 133 / 42

On to step 3:
If we divide 133 by 42, we get 3 and a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtract 126 from 133 to get 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 42

Going ahead to step 4:
When dividing 74 by 42, we get 1 with a remainder of 32.
Use 1 as the next digit of our solution. 
Result so far: 131.0
The remainder is 32 after subtracting 42 from 74.
Bring next digit (8) of the dividend behind the 32 and repeat the process: 328 / 42

Step 5:
42 goes into 328 7 times with a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 1317.0
The remainder is 34 after subtracting 294 from 328.
Append the next digit (9) from the dividend to 34 and continue with: 349 / 42

Step 6:
When dividing 349 by 42, we get 8 with a remainder of 13.
The next digit of our result is 8. 
Result so far: 13178.0
If we take 336 away from 349, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
42 can be fit into 130 3 times, resulting in a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 13178.3
Subtract 126 from 130 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.

On to step 8:
42 can be fit into 40 0 times, resulting in a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 13178.3
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.

Let's proceed to step 9:
If we divide 400 by 42, we get 9 and a remainder of 22.
Write down 9 as next digit of the result. 
Result so far: 13178.309
If we subtract 378 from 400, we 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.

Advancing to step 10:
When dividing 220 by 42, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 13178.3095
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.

Advancing to step 11:
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: 13178.30952
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.

On to step 12:
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: 13178.309523
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.

Step 13:
The number 42 fits into 340 8 times, leaving a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 13178.3095238
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.

Step 14:
42 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 13178.3095238
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.

In conclusion, the division gives 13178.3095238 with a balance of 4e-08.