437457 ÷ 42 
We want to divide 437457 by 42.

Let's proceed to 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
Subtracting 0 from 4 leaves us with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 42

Advancing to step 2:
When dividing 43 by 42, we get 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 42 from 43 and we're left with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 42

Moving on to step 3:
The number 42 fits into 17 0 times, leaving a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 17, we end up with 17.
Bring next digit (4) of the dividend behind the 17 and repeat the process: 174 / 42

Step 4:
When dividing 174 by 42, we get 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 104.0
Deduct 168 from 174 and we're left with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 42

Moving on to step 5:
When dividing 65 by 42, we get 1 with a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 1041.0
Deduct 42 from 65 and we're left with 23.
Append the next digit (7) from the dividend to 23 and continue with: 237 / 42

Moving on to step 6:
237 divided by 42 is 5 with a remainder of 27.
Write down 5 as next digit of the result. 
Result so far: 10415.0
Subtract 210 from 237 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 7:
The number 42 fits into 270 6 times, leaving a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 10415.6
If we subtract 252 from 270, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 8:
The number 42 fits into 180 4 times, leaving a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 10415.64
The remainder is 12 after subtracting 168 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
42 goes into 120 2 times with a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 10415.642
Subtract 84 from 120 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 10:
When dividing 360 by 42, we get 8 with a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 10415.6428
Subtract 336 from 360 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 11:
The number 42 fits into 240 5 times, leaving a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 10415.64285
Deduct 210 from 240 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 12:
42 goes into 300 7 times with a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 10415.642857
Deduct 294 from 300 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 13:
42 can be fit into 60 1 times, resulting in a remainder of 18.
The next digit of our result is 1. 
Result so far: 10415.6428571
Subtract 42 from 60 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 14:
When dividing 180 by 42, we get 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 10415.64285714
Subtracting 168 from 180 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 10415.64285714 with a remainder of 1.2e-08.