77177 divided by 47 
The aim is to understand the frequency of 47 in 77177.

On to step 1:
7 divided by 47 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 47

Going ahead to step 2:
77 divided by 47 is 1 with a remainder of 30.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 47 from 77 and we're left with 30.
Take the next digit (1) from the dividend and append it to 30, then repeat: 301 / 47

Step 3:
When dividing 301 by 47, we get 6 with a remainder of 19.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Deduct 282 from 301 and we're left with 19.
Grab the next digit (7) from the dividend, add it to 19, then carry on: 197 / 47

Let's proceed to step 4:
197 divided by 47 is 4 with a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 164.0
If we take 188 away from 197, we end up with 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 47

Going ahead to step 5:
47 can be fit into 97 2 times, resulting in a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 1642.0
Subtracting 94 from 97 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 6:
47 goes into 30 0 times with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 1642.0
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 7:
300 divided by 47 is 6 with a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 1642.06
If we subtract 282 from 300, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 8:
47 goes into 180 3 times with a remainder of 39.
Put 3 as the next digit of the answer. 
Result so far: 1642.063
The remainder is 39 after subtracting 141 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 9:
If we divide 390 by 47, we get 8 and a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 1642.0638
If we take 376 away from 390, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 10:
140 divided by 47 is 2 with a remainder of 46.
Record the quotient 2 as the next digit in the result. 
Result so far: 1642.06382
Subtract 94 from 140 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 11:
47 can be fit into 460 9 times, resulting in a remainder of 37.
The number 9 becomes the next digit in our result. 
Result so far: 1642.063829
If we subtract 423 from 460, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 12:
47 can be fit into 370 7 times, resulting in a remainder of 41.
Use 7 as the next digit of our solution. 
Result so far: 1642.0638297
Deduct 329 from 370 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.

On to step 13:
47 can be fit into 410 8 times, resulting in a remainder of 34.
The next digit of our result is 8. 
Result so far: 1642.06382978
If we take 376 away from 410, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

In conclusion, the division gives 1642.06382978 with a balance of 3.4e-08.