177406 ÷ 55 
The aim is to understand the frequency of 55 in 177406.

Let's proceed to step 1:
The number 55 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 55

Advancing to step 2:
17 divided by 55 is 0 with a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Include the next digit (7) from the dividend after 17, then repeat: 177 / 55

Advancing to step 3:
If we divide 177 by 55, we get 3 and a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 165 from 177 to get 12.
Bring next digit (4) of the dividend behind the 12 and repeat the process: 124 / 55

Advancing to step 4:
When dividing 124 by 55, we get 2 with a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 32.0
Deduct 110 from 124 and we're left with 14.
Take the next digit (0) from the dividend and append it to 14, then repeat: 140 / 55

Step 5:
55 goes into 140 2 times with a remainder of 30.
The next digit of our result is 2. 
Result so far: 322.0
If we take 110 away from 140, we end up with 30.
Append the next digit (6) from the dividend to 30 and continue with: 306 / 55

Let's proceed to step 6:
When dividing 306 by 55, we get 5 with a remainder of 31.
Put 5 as the next digit of the answer. 
Result so far: 3225.0
The remainder is 31 after subtracting 275 from 306.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 7:
55 goes into 310 5 times with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 3225.5
If we subtract 275 from 310, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 8:
If we divide 350 by 55, we get 6 and a remainder of 20.
The next digit of our result is 6. 
Result so far: 3225.56
Subtract 330 from 350 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
When dividing 200 by 55, we get 3 with a remainder of 35.
Write down 3 as next digit of the result. 
Result so far: 3225.563
Deduct 165 from 200 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 10:
55 can be fit into 350 6 times, resulting in a remainder of 20.
The next digit of our result is 6. 
Result so far: 3225.5636
Subtract 330 from 350 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 11:
200 divided by 55 is 3 with a remainder of 35.
Write down 3 as next digit of the result. 
Result so far: 3225.56363
Deduct 165 from 200 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 12:
55 can be fit into 350 6 times, resulting in a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 3225.563636
Subtract 330 from 350 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 13:
55 goes into 200 3 times with a remainder of 35.
Use 3 as the next digit of our solution. 
Result so far: 3225.5636363
The remainder is 35 after subtracting 165 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 14:
350 divided by 55 is 6 with a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 3225.56363636
Subtract 330 from 350 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 3225.56363636 and a remainder of 2e-08.