77868133 ÷ 689 
The aim is to understand the frequency of 689 in 77868133.

Going ahead to step 1:
689 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 689

Moving on to step 2:
77 divided by 689 is 0 with a remainder of 77.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 77 after subtracting 0 from 77.
Take the next digit (8) from the dividend and append it to 77, then repeat: 778 / 689

On to step 3:
If we divide 778 by 689, we get 1 and a remainder of 89.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 689 from 778, we get 89.
Include the next digit (6) from the dividend after 89, then repeat: 896 / 689

Step 4:
896 divided by 689 is 1 with a remainder of 207.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Deduct 689 from 896 and we're left with 207.
Append the next digit (8) from the dividend to 207 and continue with: 2078 / 689

Let's proceed to step 5:
689 can be fit into 2078 3 times, resulting in a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 113.0
If we take 2067 away from 2078, we end up with 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 689

Step 6:
When dividing 111 by 689, we get 0 with a remainder of 111.
Write down 0 as next digit of the result. 
Result so far: 1130.0
If we subtract 0 from 111, we get 111.
Take the next digit (3) from the dividend and append it to 111, then repeat: 1113 / 689

Moving on to step 7:
The number 689 fits into 1113 1 times, leaving a remainder of 424.
Use 1 as the next digit of our solution. 
Result so far: 11301.0
If we take 689 away from 1113, we end up with 424.
Grab the next digit (3) from the dividend, add it to 424, then carry on: 4243 / 689

Moving on to step 8:
4243 divided by 689 is 6 with a remainder of 109.
Write down 6 as next digit of the result. 
Result so far: 113016.0
Deduct 4134 from 4243 and we're left with 109.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1090, and continue the process.

Step 9:
689 goes into 1090 1 times with a remainder of 401.
Record the quotient 1 as the next digit in the result. 
Result so far: 113016.1
Subtracting 689 from 1090 leaves us with 401.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4010, and continue the process.

Step 10:
The number 689 fits into 4010 5 times, leaving a remainder of 565.
Put 5 as the next digit of the answer. 
Result so far: 113016.15
The remainder is 565 after subtracting 3445 from 4010.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5650, and continue the process.

On to step 11:
The number 689 fits into 5650 8 times, leaving a remainder of 138.
Put 8 as the next digit of the answer. 
Result so far: 113016.158
Deduct 5512 from 5650 and we're left with 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

Let's proceed to step 12:
689 goes into 1380 2 times with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 113016.1582
Subtracting 1378 from 1380 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 13:
20 divided by 689 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 113016.1582
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 14:
If we divide 200 by 689, we get 0 and a remainder of 200.
Record the quotient 0 as the next digit in the result. 
Result so far: 113016.1582
The remainder is 200 after subtracting 0 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

The quotient of the division is 113016.1582, and the remainder is 2e-05.