414711 ÷ 42 
We want to figure out the number of times 414711 can be divided by 42.

Going ahead 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
If we subtract 0 from 4, we get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 42

Moving on to step 2:
The number 42 fits into 41 0 times, leaving a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Fetch the next digit (4) from the dividend, attach it to 41 and continue: 414 / 42

Advancing to step 3:
When dividing 414 by 42, we get 9 with a remainder of 36.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtract 378 from 414 to get 36.
Include the next digit (7) from the dividend after 36, then repeat: 367 / 42

Going ahead to step 4:
When dividing 367 by 42, we get 8 with a remainder of 31.
The next digit of our result is 8. 
Result so far: 98.0
Subtract 336 from 367 to get 31.
Bring next digit (1) of the dividend behind the 31 and repeat the process: 311 / 42

Moving on to step 5:
When dividing 311 by 42, we get 7 with a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 987.0
Subtract 294 from 311 to get 17.
Take the next digit (1) from the dividend and append it to 17, then repeat: 171 / 42

Advancing to step 6:
171 divided by 42 is 4 with a remainder of 3.
The next digit of our result is 4. 
Result so far: 9874.0
Deduct 168 from 171 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
The number 42 fits into 30 0 times, leaving a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 9874.0
If we subtract 0 from 30, we get 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 8:
The number 42 fits into 300 7 times, leaving a remainder of 6.
The next digit of our result is 7. 
Result so far: 9874.07
Subtract 294 from 300 to get 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 9:
42 goes into 60 1 times with a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 9874.071
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.

Going ahead to step 10:
180 divided by 42 is 4 with a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 9874.0714
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.

Going ahead to step 11:
When dividing 120 by 42, we get 2 with a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 9874.07142
Deduct 84 from 120 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 12:
When dividing 360 by 42, we get 8 with a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 9874.071428
The remainder is 24 after subtracting 336 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 13:
42 can be fit into 240 5 times, resulting in a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 9874.0714285
Subtracting 210 from 240 leaves us 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.

Going ahead to step 14:
The number 42 fits into 300 7 times, leaving a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 9874.07142857
The remainder is 6 after subtracting 294 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 9874.07142857 with a remaining 6e-09.