3103 ÷ 77 
The aim is to understand the frequency of 77 in 3103.

Let's proceed to step 1:
The number 77 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 77

Going ahead to step 2:
77 goes into 31 0 times with a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 31, we get 31.
Bring next digit (0) of the dividend behind the 31 and repeat the process: 310 / 77

On to step 3:
If we divide 310 by 77, we get 4 and a remainder of 2.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 308 from 310 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 77

Step 4:
23 divided by 77 is 0 with a remainder of 23.
Record the quotient 0 as the next digit in the result. 
Result so far: 40.0
Subtract 0 from 23 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.

Moving on to step 5:
77 goes into 230 2 times with a remainder of 76.
Record the quotient 2 as the next digit in the result. 
Result so far: 40.2
Deduct 154 from 230 and we're left 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.

Step 6:
77 goes into 760 9 times with a remainder of 67.
Use 9 as the next digit of our solution. 
Result so far: 40.29
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.

Going ahead to step 7:
If we divide 670 by 77, we get 8 and a remainder of 54.
The next digit of our result is 8. 
Result so far: 40.298
Subtract 616 from 670 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 8:
77 goes into 540 7 times with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 40.2987
If we subtract 539 from 540, we get 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 9:
The number 77 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 40.2987
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
77 goes into 100 1 times with a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 40.298701
If we subtract 77 from 100, we 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.

Step 11:
When dividing 230 by 77, we get 2 with a remainder of 76.
Use 2 as the next digit of our solution. 
Result so far: 40.2987012
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.

Advancing to step 12:
If we divide 760 by 77, we get 9 and a remainder of 67.
The number 9 becomes the next digit in our result. 
Result so far: 40.29870129
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.

Our division results in 40.29870129 with a remaining 6.7e-08.