633887 ÷ 77 
The aim is to understand the frequency of 77 in 633887.

On to step 1:
When dividing 6 by 77, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 77

Advancing to step 2:
If we divide 63 by 77, we get 0 and a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 63 and we're left with 63.
Bring next digit (3) of the dividend behind the 63 and repeat the process: 633 / 77

Let's proceed to step 3:
When dividing 633 by 77, we get 8 with a remainder of 17.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Deduct 616 from 633 and we're left with 17.
Grab the next digit (8) from the dividend, add it to 17, then carry on: 178 / 77

On to step 4:
77 can be fit into 178 2 times, resulting in a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 82.0
If we subtract 154 from 178, we get 24.
Grab the next digit (8) from the dividend, add it to 24, then carry on: 248 / 77

Advancing to step 5:
If we divide 248 by 77, we get 3 and a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 823.0
Deduct 231 from 248 and we're left with 17.
Grab the next digit (7) from the dividend, add it to 17, then carry on: 177 / 77

Moving on to step 6:
If we divide 177 by 77, we get 2 and a remainder of 23.
Use 2 as the next digit of our solution. 
Result so far: 8232.0
The remainder is 23 after subtracting 154 from 177.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 7:
77 can be fit into 230 2 times, resulting in a remainder of 76.
Use 2 as the next digit of our solution. 
Result so far: 8232.2
Subtracting 154 from 230 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Going ahead to step 8:
77 goes into 760 9 times with a remainder of 67.
Record the quotient 9 as the next digit in the result. 
Result so far: 8232.29
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.

Going ahead to step 9:
670 divided by 77 is 8 with a remainder of 54.
Use 8 as the next digit of our solution. 
Result so far: 8232.298
If we take 616 away from 670, we end up 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.

Let's proceed to step 10:
The number 77 fits into 540 7 times, leaving a remainder of 1.
The next digit of our result is 7. 
Result so far: 8232.2987
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.

Going ahead to step 11:
77 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 8232.2987
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 12:
77 goes into 100 1 times with a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 8232.298701
Subtract 77 from 100 to get 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 13:
230 divided by 77 is 2 with a remainder of 76.
The next digit of our result is 2. 
Result so far: 8232.2987012
Subtract 154 from 230 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.

On to step 14:
760 divided by 77 is 9 with a remainder of 67.
The next digit of our result is 9. 
Result so far: 8232.29870129
If we take 693 away from 760, we end up 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.

After the division, we end up with 8232.29870129 and a remainder of 6.7e-08.