10418165 ÷ 420 
The aim is to understand the frequency of 420 in 10418165.

Step 1:
When dividing 1 by 420, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 420

On to step 2:
When dividing 10 by 420, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Fetch the next digit (4) from the dividend, attach it to 10 and continue: 104 / 420

Advancing to step 3:
104 divided by 420 is 0 with a remainder of 104.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 104, we end up with 104.
Fetch the next digit (1) from the dividend, attach it to 104 and continue: 1041 / 420

Moving on to step 4:
420 goes into 1041 2 times with a remainder of 201.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 201 after subtracting 840 from 1041.
Append the next digit (8) from the dividend to 201 and continue with: 2018 / 420

On to step 5:
420 goes into 2018 4 times with a remainder of 338.
Record the quotient 4 as the next digit in the result. 
Result so far: 24.0
The remainder is 338 after subtracting 1680 from 2018.
Bring next digit (1) of the dividend behind the 338 and repeat the process: 3381 / 420

Step 6:
3381 divided by 420 is 8 with a remainder of 21.
Put 8 as the next digit of the answer. 
Result so far: 248.0
Subtract 3360 from 3381 to get 21.
Take the next digit (6) from the dividend and append it to 21, then repeat: 216 / 420

Advancing to step 7:
420 goes into 216 0 times with a remainder of 216.
Record the quotient 0 as the next digit in the result. 
Result so far: 2480.0
Deduct 0 from 216 and we're left with 216.
Bring next digit (5) of the dividend behind the 216 and repeat the process: 2165 / 420

On to step 8:
420 can be fit into 2165 5 times, resulting in a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 24805.0
If we take 2100 away from 2165, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 9:
The number 420 fits into 650 1 times, leaving a remainder of 230.
Use 1 as the next digit of our solution. 
Result so far: 24805.1
Subtracting 420 from 650 leaves us with 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2300, and continue the process.

Let's proceed to step 10:
2300 divided by 420 is 5 with a remainder of 200.
The number 5 becomes the next digit in our result. 
Result so far: 24805.15
If we take 2100 away from 2300, we end up with 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Going ahead to step 11:
The number 420 fits into 2000 4 times, leaving a remainder of 320.
The next digit of our result is 4. 
Result so far: 24805.154
Subtracting 1680 from 2000 leaves us with 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Moving on to step 12:
The number 420 fits into 3200 7 times, leaving a remainder of 260.
The next digit of our result is 7. 
Result so far: 24805.1547
Deduct 2940 from 3200 and we're left with 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

Going ahead to step 13:
420 can be fit into 2600 6 times, resulting in a remainder of 80.
Record the quotient 6 as the next digit in the result. 
Result so far: 24805.15476
If we subtract 2520 from 2600, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 14:
The number 420 fits into 800 1 times, leaving a remainder of 380.
Write down 1 as next digit of the result. 
Result so far: 24805.154761
Subtracting 420 from 800 leaves us with 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3800, and continue the process.

On to step 15:
3800 divided by 420 is 9 with a remainder of 20.
The next digit of our result is 9. 
Result so far: 24805.1547619
Subtracting 3780 from 3800 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 16:
If we divide 200 by 420, we get 0 and a remainder of 200.
The next digit of our result is 0. 
Result so far: 24805.1547619
The remainder is 200 after subtracting 0 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

The quotient of the division is 24805.1547619, and the remainder is 2e-07.