498214 ÷ 42 
We're looking to find how many times 42 goes into 498214.

Step 1:
42 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 42

Step 2:
The number 42 fits into 49 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 42 from 49, we get 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 42

Going ahead to step 3:
42 can be fit into 78 1 times, resulting in a remainder of 36.
The next digit of our result is 1. 
Result so far: 11.0
Subtracting 42 from 78 leaves us with 36.
Append the next digit (2) from the dividend to 36 and continue with: 362 / 42

Going ahead to step 4:
42 goes into 362 8 times with a remainder of 26.
Put 8 as the next digit of the answer. 
Result so far: 118.0
Subtract 336 from 362 to get 26.
Grab the next digit (1) from the dividend, add it to 26, then carry on: 261 / 42

Advancing to step 5:
The number 42 fits into 261 6 times, leaving a remainder of 9.
Write down 6 as next digit of the result. 
Result so far: 1186.0
If we subtract 252 from 261, we get 9.
Include the next digit (4) from the dividend after 9, then repeat: 94 / 42

Going ahead to step 6:
42 can be fit into 94 2 times, resulting in a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 11862.0
Subtract 84 from 94 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.

Let's proceed to step 7:
42 can be fit into 100 2 times, resulting in a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 11862.2
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.

Advancing to step 8:
42 can be fit into 160 3 times, resulting in a remainder of 34.
The next digit of our result is 3. 
Result so far: 11862.23
Subtract 126 from 160 to 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.

Let's proceed to step 9:
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: 11862.238
The remainder is 4 after subtracting 336 from 340.
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 10:
42 can be fit into 40 0 times, resulting in a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 11862.238
Deduct 0 from 40 and we're left 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.

Let's proceed to step 11:
400 divided by 42 is 9 with a remainder of 22.
The next digit of our result is 9. 
Result so far: 11862.23809
The remainder is 22 after subtracting 378 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 12:
220 divided by 42 is 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 11862.238095
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.

Going ahead to step 13:
42 can be fit into 100 2 times, resulting in a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 11862.2380952
Deduct 84 from 100 and we're left 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.

Step 14:
When dividing 160 by 42, we get 3 with a remainder of 34.
Record the quotient 3 as the next digit in the result. 
Result so far: 11862.23809523
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.

Our division results in 11862.23809523 with a remaining 3.4e-08.