We look at the division of 457645 by 42 
We're looking to find how many times 42 goes into 457645.

Going ahead to step 1:
The number 42 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 42

Going ahead to step 2:
When dividing 45 by 42, we get 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 42 from 45, we get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 42

Going ahead to step 3:
If we divide 37 by 42, we get 0 and a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 37 and we're left with 37.
Fetch the next digit (6) from the dividend, attach it to 37 and continue: 376 / 42

Going ahead to step 4:
42 goes into 376 8 times with a remainder of 40.
The next digit of our result is 8. 
Result so far: 108.0
Deduct 336 from 376 and we're left with 40.
Bring next digit (4) of the dividend behind the 40 and repeat the process: 404 / 42

Going ahead to step 5:
42 goes into 404 9 times with a remainder of 26.
The next digit of our result is 9. 
Result so far: 1089.0
If we take 378 away from 404, we end up with 26.
Include the next digit (5) from the dividend after 26, then repeat: 265 / 42

Advancing to step 6:
When dividing 265 by 42, we get 6 with a remainder of 13.
Put 6 as the next digit of the answer. 
Result so far: 10896.0
The remainder is 13 after subtracting 252 from 265.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
130 divided by 42 is 3 with a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 10896.3
Deduct 126 from 130 and we're left 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.

Step 8:
40 divided by 42 is 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 10896.3
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.

Moving on to step 9:
42 can be fit into 400 9 times, resulting in a remainder of 22.
The next digit of our result is 9. 
Result so far: 10896.309
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.

Advancing 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: 10896.3095
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.

Going ahead to step 11:
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: 10896.30952
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.

Moving on to step 12:
42 can be fit into 160 3 times, resulting in a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 10896.309523
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.

Step 13:
When dividing 340 by 42, we get 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 10896.3095238
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.

Let's proceed to step 14:
When dividing 40 by 42, we get 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 10896.3095238
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.

Our division results in 10896.3095238 with a remaining 4e-08.