We're dividing 457321 by 42 
We want to figure out the number of times 457321 can be divided by 42.

Step 1:
When dividing 4 by 42, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 42

Moving on to step 2:
If we divide 45 by 42, we get 1 and a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 3 after subtracting 42 from 45.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 42

Let's proceed to step 3:
37 divided by 42 is 0 with a remainder of 37.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
The remainder is 37 after subtracting 0 from 37.
Fetch the next digit (3) from the dividend, attach it to 37 and continue: 373 / 42

Advancing to step 4:
If we divide 373 by 42, we get 8 and a remainder of 37.
Record the quotient 8 as the next digit in the result. 
Result so far: 108.0
The remainder is 37 after subtracting 336 from 373.
Grab the next digit (2) from the dividend, add it to 37, then carry on: 372 / 42

On to step 5:
The number 42 fits into 372 8 times, leaving a remainder of 36.
The next digit of our result is 8. 
Result so far: 1088.0
Subtract 336 from 372 to get 36.
Include the next digit (1) from the dividend after 36, then repeat: 361 / 42

Going ahead to step 6:
42 can be fit into 361 8 times, resulting in a remainder of 25.
The next digit of our result is 8. 
Result so far: 10888.0
If we subtract 336 from 361, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 7:
250 divided by 42 is 5 with a remainder of 40.
Put 5 as the next digit of the answer. 
Result so far: 10888.5
The remainder is 40 after subtracting 210 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
42 goes into 400 9 times with a remainder of 22.
The next digit of our result is 9. 
Result so far: 10888.59
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.

Going ahead to step 9:
42 can be fit into 220 5 times, resulting in a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 10888.595
Subtract 210 from 220 to 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 10:
42 goes into 100 2 times with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 10888.5952
The remainder is 16 after subtracting 84 from 100.
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 11:
42 goes into 160 3 times with a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 10888.59523
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.

Step 12:
The number 42 fits into 340 8 times, leaving a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 10888.595238
If we take 336 away from 340, we end up 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.

Moving on to step 13:
If we divide 40 by 42, we get 0 and a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 10888.595238
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.

On to step 14:
42 can be fit into 400 9 times, resulting in a remainder of 22.
Write down 9 as next digit of the result. 
Result so far: 10888.59523809
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.

The final result is 10888.59523809 with a remainder of 2.2e-08.