417265 divided by 89 
The aim is to understand the frequency of 89 in 417265.

On to step 1:
89 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 89

Let's proceed to step 2:
If we divide 41 by 89, we get 0 and a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Append the next digit (7) from the dividend to 41 and continue with: 417 / 89

Going ahead to step 3:
If we divide 417 by 89, we get 4 and a remainder of 61.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 356 from 417 to get 61.
Grab the next digit (2) from the dividend, add it to 61, then carry on: 612 / 89

Step 4:
The number 89 fits into 612 6 times, leaving a remainder of 78.
The next digit of our result is 6. 
Result so far: 46.0
Deduct 534 from 612 and we're left with 78.
Fetch the next digit (6) from the dividend, attach it to 78 and continue: 786 / 89

On to step 5:
The number 89 fits into 786 8 times, leaving a remainder of 74.
Record the quotient 8 as the next digit in the result. 
Result so far: 468.0
If we subtract 712 from 786, we get 74.
Grab the next digit (5) from the dividend, add it to 74, then carry on: 745 / 89

Step 6:
The number 89 fits into 745 8 times, leaving a remainder of 33.
Use 8 as the next digit of our solution. 
Result so far: 4688.0
Subtracting 712 from 745 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 7:
The number 89 fits into 330 3 times, leaving a remainder of 63.
Put 3 as the next digit of the answer. 
Result so far: 4688.3
Deduct 267 from 330 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Let's proceed to step 8:
When dividing 630 by 89, we get 7 with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 4688.37
Deduct 623 from 630 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 9:
When dividing 70 by 89, we get 0 with a remainder of 70.
Record the quotient 0 as the next digit in the result. 
Result so far: 4688.37
Deduct 0 from 70 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 10:
The number 89 fits into 700 7 times, leaving a remainder of 77.
Record the quotient 7 as the next digit in the result. 
Result so far: 4688.3707
If we subtract 623 from 700, we get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Going ahead to step 11:
If we divide 770 by 89, we get 8 and a remainder of 58.
The number 8 becomes the next digit in our result. 
Result so far: 4688.37078
The remainder is 58 after subtracting 712 from 770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 12:
The number 89 fits into 580 6 times, leaving a remainder of 46.
Write down 6 as next digit of the result. 
Result so far: 4688.370786
The remainder is 46 after subtracting 534 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 13:
The number 89 fits into 460 5 times, leaving a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 4688.3707865
Subtract 445 from 460 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 14:
89 goes into 150 1 times with a remainder of 61.
The next digit of our result is 1. 
Result so far: 4688.37078651
Subtracting 89 from 150 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

In conclusion, the division gives 4688.37078651 with a balance of 6.1e-08.