420271 ÷ 42 
We want to figure out the number of times 420271 can be divided by 42.

On 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
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 42

Let's proceed to step 2:
42 divided by 42 is 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 42 from 42, we get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 42

On to step 3:
0 divided by 42 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Deduct 0 from 0 and we're left with 0.
Fetch the next digit (2) from the dividend, attach it to 0 and continue: 2 / 42

Step 4:
42 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 100.0
Subtract 0 from 2 to get 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 42

Advancing to step 5:
42 can be fit into 27 0 times, resulting in a remainder of 27.
Use 0 as the next digit of our solution. 
Result so far: 1000.0
Subtracting 0 from 27 leaves us with 27.
Append the next digit (1) from the dividend to 27 and continue with: 271 / 42

Step 6:
When dividing 271 by 42, we get 6 with a remainder of 19.
Use 6 as the next digit of our solution. 
Result so far: 10006.0
The remainder is 19 after subtracting 252 from 271.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 7:
The number 42 fits into 190 4 times, leaving a remainder of 22.
The next digit of our result is 4. 
Result so far: 10006.4
Deduct 168 from 190 and we're left 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.

Step 8:
When dividing 220 by 42, we get 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 10006.45
The remainder is 10 after subtracting 210 from 220.
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 9:
42 can be fit into 100 2 times, resulting in a remainder of 16.
The next digit of our result is 2. 
Result so far: 10006.452
If we subtract 84 from 100, we get 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 10:
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: 10006.4523
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.

Step 11:
340 divided by 42 is 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 10006.45238
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.

Step 12:
When dividing 40 by 42, we get 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 10006.45238
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.

On to step 13:
42 can be fit into 400 9 times, resulting in a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 10006.4523809
Subtract 378 from 400 to 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.

On to step 14:
42 goes into 220 5 times with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 10006.45238095
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.

The quotient of the division is 10006.45238095, and the remainder is 1e-08.