709417 ÷ 90 
The aim is to understand the frequency of 90 in 709417.

Going ahead to step 1:
90 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (0) from the dividend, add it to 7, then carry on: 70 / 90

Step 2:
When dividing 70 by 90, we get 0 with a remainder of 70.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 70 to get 70.
Fetch the next digit (9) from the dividend, attach it to 70 and continue: 709 / 90

Advancing to step 3:
709 divided by 90 is 7 with a remainder of 79.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 79 after subtracting 630 from 709.
Fetch the next digit (4) from the dividend, attach it to 79 and continue: 794 / 90

Step 4:
If we divide 794 by 90, we get 8 and a remainder of 74.
Record the quotient 8 as the next digit in the result. 
Result so far: 78.0
Deduct 720 from 794 and we're left with 74.
Include the next digit (1) from the dividend after 74, then repeat: 741 / 90

Going ahead to step 5:
90 goes into 741 8 times with a remainder of 21.
Write down 8 as next digit of the result. 
Result so far: 788.0
Subtract 720 from 741 to get 21.
Bring next digit (7) of the dividend behind the 21 and repeat the process: 217 / 90

Let's proceed to step 6:
When dividing 217 by 90, we get 2 with a remainder of 37.
The next digit of our result is 2. 
Result so far: 7882.0
The remainder is 37 after subtracting 180 from 217.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 7:
370 divided by 90 is 4 with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 7882.4
If we subtract 360 from 370, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
90 goes into 100 1 times with a remainder of 10.
The next digit of our result is 1. 
Result so far: 7882.41
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
If we divide 100 by 90, we get 1 and a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 7882.411
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 7882.411, and the remainder is 0.001.