We're dividing 689112 by 67 
The aim is to understand the frequency of 67 in 689112.

Step 1:
67 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 67

On to step 2:
67 goes into 68 1 times with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 67 from 68 leaves us with 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 67

Let's proceed to step 3:
If we divide 19 by 67, we get 0 and a remainder of 19.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 19 leaves us with 19.
Append the next digit (1) from the dividend to 19 and continue with: 191 / 67

Let's proceed to step 4:
The number 67 fits into 191 2 times, leaving a remainder of 57.
The number 2 becomes the next digit in our result. 
Result so far: 102.0
The remainder is 57 after subtracting 134 from 191.
Include the next digit (1) from the dividend after 57, then repeat: 571 / 67

Step 5:
67 can be fit into 571 8 times, resulting in a remainder of 35.
Record the quotient 8 as the next digit in the result. 
Result so far: 1028.0
If we take 536 away from 571, we end up with 35.
Grab the next digit (2) from the dividend, add it to 35, then carry on: 352 / 67

Going ahead to step 6:
352 divided by 67 is 5 with a remainder of 17.
The next digit of our result is 5. 
Result so far: 10285.0
If we take 335 away from 352, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
170 divided by 67 is 2 with a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 10285.2
Subtract 134 from 170 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 8:
67 goes into 360 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 10285.25
Subtracting 335 from 360 leaves us 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.

Advancing to step 9:
The number 67 fits into 250 3 times, leaving a remainder of 49.
Put 3 as the next digit of the answer. 
Result so far: 10285.253
Subtract 201 from 250 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 10:
If we divide 490 by 67, we get 7 and a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 10285.2537
If we subtract 469 from 490, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 11:
If we divide 210 by 67, we get 3 and a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 10285.25373
If we take 201 away from 210, we end up 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.

Step 12:
67 can be fit into 90 1 times, resulting in a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 10285.253731
The remainder is 23 after subtracting 67 from 90.
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 13:
If we divide 230 by 67, we get 3 and a remainder of 29.
Write down 3 as next digit of the result. 
Result so far: 10285.2537313
If we take 201 away from 230, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 14:
When dividing 290 by 67, we get 4 with a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 10285.25373134
If we take 268 away from 290, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The final result is 10285.25373134 with a remainder of 2.2e-08.