We're dividing 470409 by 77 
The aim is to understand the frequency of 77 in 470409.

Step 1:
When dividing 4 by 77, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 77

Moving on to step 2:
If we divide 47 by 77, we get 0 and a remainder of 47.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 47 after subtracting 0 from 47.
Bring next digit (0) of the dividend behind the 47 and repeat the process: 470 / 77

Going ahead to step 3:
470 divided by 77 is 6 with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 462 from 470 to get 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 77

On to step 4:
77 goes into 84 1 times with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 61.0
Subtracting 77 from 84 leaves us with 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 77

Advancing to step 5:
The number 77 fits into 70 0 times, leaving a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 610.0
Deduct 0 from 70 and we're left with 70.
Grab the next digit (9) from the dividend, add it to 70, then carry on: 709 / 77

Going ahead to step 6:
When dividing 709 by 77, we get 9 with a remainder of 16.
Put 9 as the next digit of the answer. 
Result so far: 6109.0
Subtract 693 from 709 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 7:
160 divided by 77 is 2 with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 6109.2
If we take 154 away from 160, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
77 goes into 60 0 times with a remainder of 60.
The next digit of our result is 0. 
Result so far: 6109.2
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 9:
When dividing 600 by 77, we get 7 with a remainder of 61.
Put 7 as the next digit of the answer. 
Result so far: 6109.207
Subtract 539 from 600 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 10:
77 goes into 610 7 times with a remainder of 71.
Record the quotient 7 as the next digit in the result. 
Result so far: 6109.2077
The remainder is 71 after subtracting 539 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Our division results in 6109.2077 with a remaining 0.00071.