416976 divided by 77 
The aim is to understand the frequency of 77 in 416976.

Going ahead to step 1:
4 divided by 77 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 77

Let's proceed to step 2:
The number 77 fits into 41 0 times, leaving a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Take the next digit (6) from the dividend and append it to 41, then repeat: 416 / 77

Let's proceed to step 3:
416 divided by 77 is 5 with a remainder of 31.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtract 385 from 416 to get 31.
Take the next digit (9) from the dividend and append it to 31, then repeat: 319 / 77

Going ahead to step 4:
77 can be fit into 319 4 times, resulting in a remainder of 11.
Put 4 as the next digit of the answer. 
Result so far: 54.0
Deduct 308 from 319 and we're left with 11.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 77

Step 5:
77 can be fit into 117 1 times, resulting in a remainder of 40.
Put 1 as the next digit of the answer. 
Result so far: 541.0
Deduct 77 from 117 and we're left with 40.
Fetch the next digit (6) from the dividend, attach it to 40 and continue: 406 / 77

Step 6:
The number 77 fits into 406 5 times, leaving a remainder of 21.
Use 5 as the next digit of our solution. 
Result so far: 5415.0
Subtract 385 from 406 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 7:
210 divided by 77 is 2 with a remainder of 56.
Put 2 as the next digit of the answer. 
Result so far: 5415.2
If we take 154 away from 210, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 8:
When dividing 560 by 77, we get 7 with a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 5415.27
If we take 539 away from 560, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 9:
If we divide 210 by 77, we get 2 and a remainder of 56.
Write down 2 as next digit of the result. 
Result so far: 5415.272
If we take 154 away from 210, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 10:
If we divide 560 by 77, we get 7 and a remainder of 21.
Write down 7 as next digit of the result. 
Result so far: 5415.2727
Subtracting 539 from 560 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 11:
77 can be fit into 210 2 times, resulting in a remainder of 56.
The number 2 becomes the next digit in our result. 
Result so far: 5415.27272
Subtracting 154 from 210 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 12:
77 can be fit into 560 7 times, resulting in a remainder of 21.
Record the quotient 7 as the next digit in the result. 
Result so far: 5415.272727
If we take 539 away from 560, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 13:
If we divide 210 by 77, we get 2 and a remainder of 56.
Record the quotient 2 as the next digit in the result. 
Result so far: 5415.2727272
If we subtract 154 from 210, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 14:
77 can be fit into 560 7 times, resulting in a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 5415.27272727
The remainder is 21 after subtracting 539 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

After the division, we end up with 5415.27272727 and a remainder of 2.1e-08.