8042471 ÷ 419 
The aim is to understand the frequency of 419 in 8042471.

On to step 1:
419 goes into 8 0 times with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (0) from the dividend, add it to 8, then carry on: 80 / 419

Let's proceed to step 2:
419 goes into 80 0 times with a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 80, we end up with 80.
Bring next digit (4) of the dividend behind the 80 and repeat the process: 804 / 419

Advancing to step 3:
If we divide 804 by 419, we get 1 and a remainder of 385.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 385 after subtracting 419 from 804.
Grab the next digit (2) from the dividend, add it to 385, then carry on: 3852 / 419

Moving on to step 4:
When dividing 3852 by 419, we get 9 with a remainder of 81.
Put 9 as the next digit of the answer. 
Result so far: 19.0
Deduct 3771 from 3852 and we're left with 81.
Grab the next digit (4) from the dividend, add it to 81, then carry on: 814 / 419

On to step 5:
The number 419 fits into 814 1 times, leaving a remainder of 395.
The number 1 becomes the next digit in our result. 
Result so far: 191.0
The remainder is 395 after subtracting 419 from 814.
Take the next digit (7) from the dividend and append it to 395, then repeat: 3957 / 419

Going ahead to step 6:
419 can be fit into 3957 9 times, resulting in a remainder of 186.
Use 9 as the next digit of our solution. 
Result so far: 1919.0
Deduct 3771 from 3957 and we're left with 186.
Take the next digit (1) from the dividend and append it to 186, then repeat: 1861 / 419

Step 7:
When dividing 1861 by 419, we get 4 with a remainder of 185.
The number 4 becomes the next digit in our result. 
Result so far: 19194.0
If we subtract 1676 from 1861, we get 185.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1850, and continue the process.

Let's proceed to step 8:
The number 419 fits into 1850 4 times, leaving a remainder of 174.
The next digit of our result is 4. 
Result so far: 19194.4
If we take 1676 away from 1850, we end up with 174.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1740, and continue the process.

Advancing to step 9:
When dividing 1740 by 419, we get 4 with a remainder of 64.
The next digit of our result is 4. 
Result so far: 19194.44
If we take 1676 away from 1740, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The final result is 19194.44 with a remainder of 0.064.