Let's divide 1636 by 77
The aim is to understand the frequency of 77 in 1636.

Advancing to step 1:
If we divide 1 by 77, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 77

On to step 2:
If we divide 16 by 77, we get 0 and a remainder of 16.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 16 leaves us with 16.
Fetch the next digit (3) from the dividend, attach it to 16 and continue: 163 / 77

On to step 3:
163 divided by 77 is 2 with a remainder of 9.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 154 from 163, we get 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 77

Advancing to step 4:
96 divided by 77 is 1 with a remainder of 19.
The next digit of our result is 1. 
Result so far: 21.0
Deduct 77 from 96 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 5:
190 divided by 77 is 2 with a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 21.2
Deduct 154 from 190 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.

Going ahead to step 6:
77 goes into 360 4 times with a remainder of 52.
Write down 4 as next digit of the result. 
Result so far: 21.24
If we subtract 308 from 360, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 7:
520 divided by 77 is 6 with a remainder of 58.
The next digit of our result is 6. 
Result so far: 21.246
The remainder is 58 after subtracting 462 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 8:
When dividing 580 by 77, we get 7 with a remainder of 41.
Record the quotient 7 as the next digit in the result. 
Result so far: 21.2467
Deduct 539 from 580 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 9:
410 divided by 77 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 21.24675
If we take 385 away from 410, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 10:
77 can be fit into 250 3 times, resulting in a remainder of 19.
Write down 3 as next digit of the result. 
Result so far: 21.246753
If we subtract 231 from 250, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 11:
If we divide 190 by 77, we get 2 and a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 21.2467532
Subtracting 154 from 190 leaves us 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.

Let's proceed to step 12:
If we divide 360 by 77, we get 4 and a remainder of 52.
Put 4 as the next digit of the answer. 
Result so far: 21.24675324
Subtract 308 from 360 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

In conclusion, the division gives 21.24675324 with a balance of 5.2e-08.