641426 divided by 77 
The aim is to understand the frequency of 77 in 641426.

On to step 1:
The number 77 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 77

Going ahead to step 2:
77 can be fit into 64 0 times, resulting in a remainder of 64.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 64 after subtracting 0 from 64.
Grab the next digit (1) from the dividend, add it to 64, then carry on: 641 / 77

Step 3:
641 divided by 77 is 8 with a remainder of 25.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Deduct 616 from 641 and we're left with 25.
Append the next digit (4) from the dividend to 25 and continue with: 254 / 77

Step 4:
77 can be fit into 254 3 times, resulting in a remainder of 23.
Use 3 as the next digit of our solution. 
Result so far: 83.0
Subtracting 231 from 254 leaves us with 23.
Bring next digit (2) of the dividend behind the 23 and repeat the process: 232 / 77

Advancing to step 5:
The number 77 fits into 232 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 833.0
If we take 231 away from 232, we end up with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 77

On to step 6:
If we divide 16 by 77, we get 0 and a remainder of 16.
Use 0 as the next digit of our solution. 
Result so far: 8330.0
Deduct 0 from 16 and we're left with 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:
When dividing 160 by 77, we get 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 8330.2
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.

Advancing to step 8:
77 can be fit into 60 0 times, resulting in a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 8330.2
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 9:
77 goes into 600 7 times with a remainder of 61.
Write down 7 as next digit of the result. 
Result so far: 8330.207
If we subtract 539 from 600, we 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.

Step 10:
When dividing 610 by 77, we get 7 with a remainder of 71.
Put 7 as the next digit of the answer. 
Result so far: 8330.2077
Deduct 539 from 610 and we're left with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

In conclusion, the division gives 8330.2077 with a balance of 0.00071.