897961 ÷ 77 
The aim is to understand the frequency of 77 in 897961.

On to step 1:
77 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 77

Going ahead to step 2:
The number 77 fits into 89 1 times, leaving a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 77 away from 89, we end up with 12.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 77

Let's proceed to step 3:
77 can be fit into 127 1 times, resulting in a remainder of 50.
Write down 1 as next digit of the result. 
Result so far: 11.0
The remainder is 50 after subtracting 77 from 127.
Bring next digit (9) of the dividend behind the 50 and repeat the process: 509 / 77

Advancing to step 4:
77 can be fit into 509 6 times, resulting in a remainder of 47.
The next digit of our result is 6. 
Result so far: 116.0
If we subtract 462 from 509, we get 47.
Bring next digit (6) of the dividend behind the 47 and repeat the process: 476 / 77

Moving on to step 5:
476 divided by 77 is 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 1166.0
The remainder is 14 after subtracting 462 from 476.
Bring next digit (1) of the dividend behind the 14 and repeat the process: 141 / 77

Step 6:
141 divided by 77 is 1 with a remainder of 64.
Use 1 as the next digit of our solution. 
Result so far: 11661.0
Subtract 77 from 141 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 7:
When dividing 640 by 77, we get 8 with a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 11661.8
Subtract 616 from 640 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 8:
The number 77 fits into 240 3 times, leaving a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 11661.83
Subtracting 231 from 240 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 9:
77 goes into 90 1 times with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 11661.831
Deduct 77 from 90 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 10:
77 can be fit into 130 1 times, resulting in a remainder of 53.
Put 1 as the next digit of the answer. 
Result so far: 11661.8311
Subtract 77 from 130 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

The quotient of the division is 11661.8311, and the remainder is 0.00053.