We look at the division of 430166 by 89 
The aim is to understand the frequency of 89 in 430166.

Advancing to step 1:
When dividing 4 by 89, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 89

Going ahead to step 2:
The number 89 fits into 43 0 times, leaving a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Include the next digit (0) from the dividend after 43, then repeat: 430 / 89

Going ahead to step 3:
430 divided by 89 is 4 with a remainder of 74.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we subtract 356 from 430, we get 74.
Include the next digit (1) from the dividend after 74, then repeat: 741 / 89

Moving on to step 4:
89 can be fit into 741 8 times, resulting in a remainder of 29.
Write down 8 as next digit of the result. 
Result so far: 48.0
Deduct 712 from 741 and we're left with 29.
Fetch the next digit (6) from the dividend, attach it to 29 and continue: 296 / 89

Advancing to step 5:
89 goes into 296 3 times with a remainder of 29.
Use 3 as the next digit of our solution. 
Result so far: 483.0
Subtract 267 from 296 to get 29.
Bring next digit (6) of the dividend behind the 29 and repeat the process: 296 / 89

On to step 6:
When dividing 296 by 89, we get 3 with a remainder of 29.
Record the quotient 3 as the next digit in the result. 
Result so far: 4833.0
If we subtract 267 from 296, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 7:
89 goes into 290 3 times with a remainder of 23.
Write down 3 as next digit of the result. 
Result so far: 4833.3
Subtracting 267 from 290 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 8:
89 goes into 230 2 times with a remainder of 52.
The number 2 becomes the next digit in our result. 
Result so far: 4833.32
Subtracting 178 from 230 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 9:
520 divided by 89 is 5 with a remainder of 75.
The next digit of our result is 5. 
Result so far: 4833.325
If we take 445 away from 520, we end up with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Advancing to step 10:
89 goes into 750 8 times with a remainder of 38.
The number 8 becomes the next digit in our result. 
Result so far: 4833.3258
Subtracting 712 from 750 leaves us 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.

On to step 11:
When dividing 380 by 89, we get 4 with a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 4833.32584
Deduct 356 from 380 and we're left with 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 12:
89 goes into 240 2 times with a remainder of 62.
Write down 2 as next digit of the result. 
Result so far: 4833.325842
Deduct 178 from 240 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 13:
If we divide 620 by 89, we get 6 and a remainder of 86.
Use 6 as the next digit of our solution. 
Result so far: 4833.3258426
The remainder is 86 after subtracting 534 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Moving on to step 14:
860 divided by 89 is 9 with a remainder of 59.
Use 9 as the next digit of our solution. 
Result so far: 4833.32584269
Deduct 801 from 860 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

The quotient of the division is 4833.32584269, and the remainder is 5.9e-08.