87767947 ÷ 420 
The aim is to understand the frequency of 420 in 87767947.

Advancing to step 1:
8 divided by 420 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 420

Moving on to step 2:
When dividing 87 by 420, we get 0 with a remainder of 87.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 87 leaves us with 87.
Include the next digit (7) from the dividend after 87, then repeat: 877 / 420

On to step 3:
420 can be fit into 877 2 times, resulting in a remainder of 37.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 840 from 877, we get 37.
Fetch the next digit (6) from the dividend, attach it to 37 and continue: 376 / 420

On to step 4:
376 divided by 420 is 0 with a remainder of 376.
Put 0 as the next digit of the answer. 
Result so far: 20.0
Subtracting 0 from 376 leaves us with 376.
Append the next digit (7) from the dividend to 376 and continue with: 3767 / 420

On to step 5:
If we divide 3767 by 420, we get 8 and a remainder of 407.
Put 8 as the next digit of the answer. 
Result so far: 208.0
The remainder is 407 after subtracting 3360 from 3767.
Take the next digit (9) from the dividend and append it to 407, then repeat: 4079 / 420

Let's proceed to step 6:
4079 divided by 420 is 9 with a remainder of 299.
Write down 9 as next digit of the result. 
Result so far: 2089.0
Subtracting 3780 from 4079 leaves us with 299.
Append the next digit (4) from the dividend to 299 and continue with: 2994 / 420

Step 7:
2994 divided by 420 is 7 with a remainder of 54.
Write down 7 as next digit of the result. 
Result so far: 20897.0
Subtracting 2940 from 2994 leaves us with 54.
Append the next digit (7) from the dividend to 54 and continue with: 547 / 420

Let's proceed to step 8:
If we divide 547 by 420, we get 1 and a remainder of 127.
Put 1 as the next digit of the answer. 
Result so far: 208971.0
If we subtract 420 from 547, we get 127.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1270, and continue the process.

Going ahead to step 9:
1270 divided by 420 is 3 with a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 208971.3
Subtract 1260 from 1270 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 10:
420 can be fit into 100 0 times, resulting in a remainder of 100.
Record the quotient 0 as the next digit in the result. 
Result so far: 208971.3
Subtract 0 from 100 to get 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 11:
The number 420 fits into 1000 2 times, leaving a remainder of 160.
The next digit of our result is 2. 
Result so far: 208971.302
If we subtract 840 from 1000, we 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 12:
1600 divided by 420 is 3 with a remainder of 340.
The number 3 becomes the next digit in our result. 
Result so far: 208971.3023
Deduct 1260 from 1600 and we're left with 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3400, and continue the process.

Let's proceed to step 13:
420 can be fit into 3400 8 times, resulting in a remainder of 40.
Use 8 as the next digit of our solution. 
Result so far: 208971.30238
Subtracting 3360 from 3400 leaves us 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.

Step 14:
If we divide 400 by 420, we get 0 and a remainder of 400.
Use 0 as the next digit of our solution. 
Result so far: 208971.30238
The remainder is 400 after subtracting 0 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

On to step 15:
When dividing 4000 by 420, we get 9 with a remainder of 220.
Put 9 as the next digit of the answer. 
Result so far: 208971.3023809
Subtracting 3780 from 4000 leaves us with 220.
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 16:
The number 420 fits into 2200 5 times, leaving a remainder of 100.
Use 5 as the next digit of our solution. 
Result so far: 208971.30238095
Deduct 2100 from 2200 and we're left 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.

In conclusion, the division gives 208971.30238095 with a balance of 1e-07.