We're dividing 55410674 by 177 
The aim is to understand the frequency of 177 in 55410674.

Step 1:
When dividing 5 by 177, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 177

Going ahead to step 2:
55 divided by 177 is 0 with a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 55, we end up with 55.
Fetch the next digit (4) from the dividend, attach it to 55 and continue: 554 / 177

Going ahead to step 3:
177 goes into 554 3 times with a remainder of 23.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 531 from 554, we get 23.
Fetch the next digit (1) from the dividend, attach it to 23 and continue: 231 / 177

Let's proceed to step 4:
177 can be fit into 231 1 times, resulting in a remainder of 54.
Use 1 as the next digit of our solution. 
Result so far: 31.0
The remainder is 54 after subtracting 177 from 231.
Bring next digit (0) of the dividend behind the 54 and repeat the process: 540 / 177

Going ahead to step 5:
When dividing 540 by 177, we get 3 with a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 313.0
Deduct 531 from 540 and we're left with 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 177

On to step 6:
177 goes into 96 0 times with a remainder of 96.
The number 0 becomes the next digit in our result. 
Result so far: 3130.0
If we subtract 0 from 96, we get 96.
Take the next digit (7) from the dividend and append it to 96, then repeat: 967 / 177

Going ahead to step 7:
177 goes into 967 5 times with a remainder of 82.
The next digit of our result is 5. 
Result so far: 31305.0
Deduct 885 from 967 and we're left with 82.
Bring next digit (4) of the dividend behind the 82 and repeat the process: 824 / 177

Advancing to step 8:
The number 177 fits into 824 4 times, leaving a remainder of 116.
Use 4 as the next digit of our solution. 
Result so far: 313054.0
If we subtract 708 from 824, we get 116.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1160, and continue the process.

On to step 9:
177 can be fit into 1160 6 times, resulting in a remainder of 98.
The next digit of our result is 6. 
Result so far: 313054.6
Deduct 1062 from 1160 and we're left with 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

Going ahead to step 10:
The number 177 fits into 980 5 times, leaving a remainder of 95.
The next digit of our result is 5. 
Result so far: 313054.65
If we take 885 away from 980, we end up with 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Moving on to step 11:
When dividing 950 by 177, we get 5 with a remainder of 65.
Write down 5 as next digit of the result. 
Result so far: 313054.655
If we subtract 885 from 950, we get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

The final result is 313054.655 with a remainder of 0.0065.