We look at the division of 423678 by 89 
The aim is to understand the frequency of 89 in 423678.

Going ahead to step 1:
When dividing 4 by 89, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 89

Going ahead to step 2:
89 goes into 42 0 times with a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Append the next digit (3) from the dividend to 42 and continue with: 423 / 89

Let's proceed to step 3:
The number 89 fits into 423 4 times, leaving a remainder of 67.
Use 4 as the next digit of our solution. 
Result so far: 4.0
The remainder is 67 after subtracting 356 from 423.
Include the next digit (6) from the dividend after 67, then repeat: 676 / 89

Step 4:
676 divided by 89 is 7 with a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 47.0
If we take 623 away from 676, we end up with 53.
Include the next digit (7) from the dividend after 53, then repeat: 537 / 89

Going ahead to step 5:
89 goes into 537 6 times with a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 476.0
Subtracting 534 from 537 leaves us with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 89

Going ahead to step 6:
89 can be fit into 38 0 times, resulting in a remainder of 38.
The number 0 becomes the next digit in our result. 
Result so far: 4760.0
Deduct 0 from 38 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 7:
When dividing 380 by 89, we get 4 with a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 4760.4
If we subtract 356 from 380, we 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.

Let's proceed to step 8:
89 can be fit into 240 2 times, resulting in a remainder of 62.
Put 2 as the next digit of the answer. 
Result so far: 4760.42
The remainder is 62 after subtracting 178 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 9:
If we divide 620 by 89, we get 6 and a remainder of 86.
The next digit of our result is 6. 
Result so far: 4760.426
If we take 534 away from 620, we end up with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

On to step 10:
89 goes into 860 9 times with a remainder of 59.
Record the quotient 9 as the next digit in the result. 
Result so far: 4760.4269
If we subtract 801 from 860, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 11:
89 goes into 590 6 times with a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 4760.42696
Deduct 534 from 590 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 12:
The number 89 fits into 560 6 times, leaving a remainder of 26.
Write down 6 as next digit of the result. 
Result so far: 4760.426966
Subtract 534 from 560 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 4760.426966 with a remainder of 2.6e-06.