We're dividing 419008 by 77 
The aim is to understand the frequency of 77 in 419008.

Advancing to step 1:
When dividing 4 by 77, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 77

Moving on to step 2:
If we divide 41 by 77, we get 0 and a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Append the next digit (9) from the dividend to 41 and continue with: 419 / 77

Step 3:
The number 77 fits into 419 5 times, leaving a remainder of 34.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Deduct 385 from 419 and we're left with 34.
Grab the next digit (0) from the dividend, add it to 34, then carry on: 340 / 77

Let's proceed to step 4:
If we divide 340 by 77, we get 4 and a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 54.0
If we subtract 308 from 340, we get 32.
Include the next digit (0) from the dividend after 32, then repeat: 320 / 77

Moving on to step 5:
The number 77 fits into 320 4 times, leaving a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 544.0
If we subtract 308 from 320, we get 12.
Include the next digit (8) from the dividend after 12, then repeat: 128 / 77

Going ahead to step 6:
When dividing 128 by 77, we get 1 with a remainder of 51.
Use 1 as the next digit of our solution. 
Result so far: 5441.0
The remainder is 51 after subtracting 77 from 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 7:
The number 77 fits into 510 6 times, leaving a remainder of 48.
The next digit of our result is 6. 
Result so far: 5441.6
If we subtract 462 from 510, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 8:
77 goes into 480 6 times with a remainder of 18.
The next digit of our result is 6. 
Result so far: 5441.66
The remainder is 18 after subtracting 462 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Our division results in 5441.66 with a remaining 0.018.