978910 ÷ 89 
The aim is to understand the frequency of 89 in 978910.

Let's proceed to step 1:
When dividing 9 by 89, we get 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 89

Moving on to step 2:
When dividing 97 by 89, we get 1 with a remainder of 8.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 8 after subtracting 89 from 97.
Grab the next digit (8) from the dividend, add it to 8, then carry on: 88 / 89

Let's proceed to step 3:
If we divide 88 by 89, we get 0 and a remainder of 88.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 88 and we're left with 88.
Fetch the next digit (9) from the dividend, attach it to 88 and continue: 889 / 89

On to step 4:
89 goes into 889 9 times with a remainder of 88.
The next digit of our result is 9. 
Result so far: 109.0
Subtracting 801 from 889 leaves us with 88.
Append the next digit (1) from the dividend to 88 and continue with: 881 / 89

Going ahead to step 5:
89 can be fit into 881 9 times, resulting in a remainder of 80.
Record the quotient 9 as the next digit in the result. 
Result so far: 1099.0
If we subtract 801 from 881, we get 80.
Fetch the next digit (0) from the dividend, attach it to 80 and continue: 800 / 89

Step 6:
The number 89 fits into 800 8 times, leaving a remainder of 88.
The next digit of our result is 8. 
Result so far: 10998.0
Deduct 712 from 800 and we're left with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Advancing to step 7:
89 goes into 880 9 times with a remainder of 79.
Record the quotient 9 as the next digit in the result. 
Result so far: 10998.9
The remainder is 79 after subtracting 801 from 880.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

On to step 8:
89 goes into 790 8 times with a remainder of 78.
The number 8 becomes the next digit in our result. 
Result so far: 10998.98
The remainder is 78 after subtracting 712 from 790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

On to step 9:
If we divide 780 by 89, we get 8 and a remainder of 68.
The number 8 becomes the next digit in our result. 
Result so far: 10998.988
Deduct 712 from 780 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

The final result is 10998.988 with a remainder of 0.0068.