We divide 541001 by 77
The aim is to understand the frequency of 77 in 541001.

Going ahead to step 1:
If we divide 5 by 77, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 77

Let's proceed to step 2:
77 goes into 54 0 times with a remainder of 54.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 54 leaves us with 54.
Append the next digit (1) from the dividend to 54 and continue with: 541 / 77

Step 3:
The number 77 fits into 541 7 times, leaving a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 539 from 541 and we're left with 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 77

On to step 4:
77 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 70.0
Subtracting 0 from 20 leaves us with 20.
Append the next digit (0) from the dividend to 20 and continue with: 200 / 77

Going ahead to step 5:
200 divided by 77 is 2 with a remainder of 46.
The next digit of our result is 2. 
Result so far: 702.0
Deduct 154 from 200 and we're left with 46.
Fetch the next digit (1) from the dividend, attach it to 46 and continue: 461 / 77

On to step 6:
The number 77 fits into 461 5 times, leaving a remainder of 76.
Put 5 as the next digit of the answer. 
Result so far: 7025.0
Subtract 385 from 461 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 7:
77 goes into 760 9 times with a remainder of 67.
Put 9 as the next digit of the answer. 
Result so far: 7025.9
Subtracting 693 from 760 leaves us with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 8:
670 divided by 77 is 8 with a remainder of 54.
Record the quotient 8 as the next digit in the result. 
Result so far: 7025.98
Deduct 616 from 670 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 9:
The number 77 fits into 540 7 times, leaving a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 7025.987
Subtracting 539 from 540 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 10:
If we divide 10 by 77, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 7025.987
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
When dividing 100 by 77, we get 1 with a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 7025.98701
Subtracting 77 from 100 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 12:
77 can be fit into 230 2 times, resulting in a remainder of 76.
The number 2 becomes the next digit in our result. 
Result so far: 7025.987012
If we subtract 154 from 230, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 13:
When dividing 760 by 77, we get 9 with a remainder of 67.
The number 9 becomes the next digit in our result. 
Result so far: 7025.9870129
Subtract 693 from 760 to get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Going ahead to step 14:
When dividing 670 by 77, we get 8 with a remainder of 54.
Put 8 as the next digit of the answer. 
Result so far: 7025.98701298
The remainder is 54 after subtracting 616 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The final result is 7025.98701298 with a remainder of 5.4e-08.