41117137 ÷ 420 
The aim is to understand the frequency of 420 in 41117137.

Step 1:
4 divided by 420 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 420

Advancing to step 2:
420 goes into 41 0 times with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Include the next digit (1) from the dividend after 41, then repeat: 411 / 420

Going ahead to step 3:
420 goes into 411 0 times with a remainder of 411.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 411 and we're left with 411.
Fetch the next digit (1) from the dividend, attach it to 411 and continue: 4111 / 420

Step 4:
When dividing 4111 by 420, we get 9 with a remainder of 331.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we take 3780 away from 4111, we end up with 331.
Take the next digit (7) from the dividend and append it to 331, then repeat: 3317 / 420

Let's proceed to step 5:
420 goes into 3317 7 times with a remainder of 377.
The number 7 becomes the next digit in our result. 
Result so far: 97.0
The remainder is 377 after subtracting 2940 from 3317.
Include the next digit (1) from the dividend after 377, then repeat: 3771 / 420

Let's proceed to step 6:
The number 420 fits into 3771 8 times, leaving a remainder of 411.
Put 8 as the next digit of the answer. 
Result so far: 978.0
Deduct 3360 from 3771 and we're left with 411.
Fetch the next digit (3) from the dividend, attach it to 411 and continue: 4113 / 420

Advancing to step 7:
The number 420 fits into 4113 9 times, leaving a remainder of 333.
Use 9 as the next digit of our solution. 
Result so far: 9789.0
If we subtract 3780 from 4113, we get 333.
Include the next digit (7) from the dividend after 333, then repeat: 3337 / 420

On to step 8:
420 can be fit into 3337 7 times, resulting in a remainder of 397.
The next digit of our result is 7. 
Result so far: 97897.0
If we subtract 2940 from 3337, we get 397.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3970, and continue the process.

Let's proceed to step 9:
If we divide 3970 by 420, we get 9 and a remainder of 190.
Record the quotient 9 as the next digit in the result. 
Result so far: 97897.9
If we subtract 3780 from 3970, we get 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

Let's proceed to step 10:
420 goes into 1900 4 times with a remainder of 220.
The next digit of our result is 4. 
Result so far: 97897.94
The remainder is 220 after subtracting 1680 from 1900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

On to step 11:
When dividing 2200 by 420, we get 5 with a remainder of 100.
Write down 5 as next digit of the result. 
Result so far: 97897.945
If we take 2100 away from 2200, we end up with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Let's proceed to step 12:
420 goes into 1000 2 times with a remainder of 160.
Use 2 as the next digit of our solution. 
Result so far: 97897.9452
Subtract 840 from 1000 to get 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Advancing to step 13:
420 goes into 1600 3 times with a remainder of 340.
The next digit of our result is 3. 
Result so far: 97897.94523
The remainder is 340 after subtracting 1260 from 1600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3400, and continue the process.

Step 14:
The number 420 fits into 3400 8 times, leaving a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 97897.945238
Deduct 3360 from 3400 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.

Going ahead to step 15:
420 can be fit into 400 0 times, resulting in a remainder of 400.
Record the quotient 0 as the next digit in the result. 
Result so far: 97897.945238
If we subtract 0 from 400, we get 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

Step 16:
420 goes into 4000 9 times with a remainder of 220.
The next digit of our result is 9. 
Result so far: 97897.94523809
The remainder is 220 after subtracting 3780 from 4000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

The final outcome is 97897.94523809, with a leftover of 2.2e-07.