We look at the division of 457288 by 42 
Our goal is to divide 457288 by 42.

Going ahead to step 1:
When dividing 4 by 42, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 42

On to step 2:
If we divide 45 by 42, we get 1 and a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 42 away from 45, we end up with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 42

Step 3:
The number 42 fits into 37 0 times, leaving a remainder of 37.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Deduct 0 from 37 and we're left with 37.
Grab the next digit (2) from the dividend, add it to 37, then carry on: 372 / 42

Step 4:
42 can be fit into 372 8 times, resulting in a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 108.0
The remainder is 36 after subtracting 336 from 372.
Grab the next digit (8) from the dividend, add it to 36, then carry on: 368 / 42

On to step 5:
42 goes into 368 8 times with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 1088.0
The remainder is 32 after subtracting 336 from 368.
Fetch the next digit (8) from the dividend, attach it to 32 and continue: 328 / 42

Moving on to step 6:
42 goes into 328 7 times with a remainder of 34.
The next digit of our result is 7. 
Result so far: 10887.0
If we subtract 294 from 328, 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.

On to step 7:
42 goes into 340 8 times with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 10887.8
If we subtract 336 from 340, we 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 8:
42 goes into 40 0 times with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 10887.8
Subtracting 0 from 40 leaves us 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.

Going ahead to step 9:
If we divide 400 by 42, we get 9 and a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 10887.809
If we take 378 away from 400, we end up with 22.
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 10:
When dividing 220 by 42, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 10887.8095
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.

Advancing to step 11:
When dividing 100 by 42, we get 2 with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 10887.80952
Subtracting 84 from 100 leaves us 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.

Let's proceed to step 12:
When dividing 160 by 42, we get 3 with a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 10887.809523
Subtracting 126 from 160 leaves us 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.

On to step 13:
42 can be fit into 340 8 times, resulting in a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 10887.8095238
If we subtract 336 from 340, we 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.

Going ahead to 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: 10887.8095238
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 10887.8095238 with a remainder of 4e-08.