971561 divided by 77 
The aim is to understand the frequency of 77 in 971561.

Let's proceed to step 1:
The number 77 fits into 9 0 times, leaving a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 77

Moving on to step 2:
When dividing 97 by 77, we get 1 with a remainder of 20.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 20 after subtracting 77 from 97.
Include the next digit (1) from the dividend after 20, then repeat: 201 / 77

Going ahead to step 3:
The number 77 fits into 201 2 times, leaving a remainder of 47.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we take 154 away from 201, we end up with 47.
Grab the next digit (5) from the dividend, add it to 47, then carry on: 475 / 77

Advancing to step 4:
The number 77 fits into 475 6 times, leaving a remainder of 13.
The next digit of our result is 6. 
Result so far: 126.0
If we take 462 away from 475, we end up with 13.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 77

Advancing to step 5:
The number 77 fits into 136 1 times, leaving a remainder of 59.
The next digit of our result is 1. 
Result so far: 1261.0
If we subtract 77 from 136, we get 59.
Bring next digit (1) of the dividend behind the 59 and repeat the process: 591 / 77

Step 6:
When dividing 591 by 77, we get 7 with a remainder of 52.
The number 7 becomes the next digit in our result. 
Result so far: 12617.0
The remainder is 52 after subtracting 539 from 591.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 7:
When dividing 520 by 77, we get 6 with a remainder of 58.
The number 6 becomes the next digit in our result. 
Result so far: 12617.6
Subtract 462 from 520 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 8:
When dividing 580 by 77, we get 7 with a remainder of 41.
Use 7 as the next digit of our solution. 
Result so far: 12617.67
If we subtract 539 from 580, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 9:
When dividing 410 by 77, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 12617.675
If we take 385 away from 410, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 10:
250 divided by 77 is 3 with a remainder of 19.
The next digit of our result is 3. 
Result so far: 12617.6753
Deduct 231 from 250 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 11:
The number 77 fits into 190 2 times, leaving a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 12617.67532
Subtracting 154 from 190 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 12:
77 goes into 360 4 times with a remainder of 52.
Put 4 as the next digit of the answer. 
Result so far: 12617.675324
If we take 308 away from 360, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 13:
520 divided by 77 is 6 with a remainder of 58.
Record the quotient 6 as the next digit in the result. 
Result so far: 12617.6753246
If we take 462 away from 520, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 14:
77 goes into 580 7 times with a remainder of 41.
The number 7 becomes the next digit in our result. 
Result so far: 12617.67532467
The remainder is 41 after subtracting 539 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

The final outcome is 12617.67532467, with a leftover of 4.1e-08.