877119 ÷ 89 
The aim is to understand the frequency of 89 in 877119.

Going ahead to step 1:
If we divide 8 by 89, we get 0 and a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 89

Moving on to step 2:
The number 89 fits into 87 0 times, leaving a remainder of 87.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 87 leaves us with 87.
Bring next digit (7) of the dividend behind the 87 and repeat the process: 877 / 89

Going ahead to step 3:
89 goes into 877 9 times with a remainder of 76.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Deduct 801 from 877 and we're left with 76.
Grab the next digit (1) from the dividend, add it to 76, then carry on: 761 / 89

Step 4:
If we divide 761 by 89, we get 8 and a remainder of 49.
The number 8 becomes the next digit in our result. 
Result so far: 98.0
Subtract 712 from 761 to get 49.
Bring next digit (1) of the dividend behind the 49 and repeat the process: 491 / 89

Let's proceed to step 5:
89 can be fit into 491 5 times, resulting in a remainder of 46.
Write down 5 as next digit of the result. 
Result so far: 985.0
If we subtract 445 from 491, we get 46.
Append the next digit (9) from the dividend to 46 and continue with: 469 / 89

On to step 6:
469 divided by 89 is 5 with a remainder of 24.
Record the quotient 5 as the next digit in the result. 
Result so far: 9855.0
If we take 445 away from 469, we end up 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.

Advancing to step 7:
89 goes into 240 2 times with a remainder of 62.
Put 2 as the next digit of the answer. 
Result so far: 9855.2
If we take 178 away from 240, we end up 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.

Advancing to step 8:
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: 9855.26
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.

Advancing to step 9:
The number 89 fits into 860 9 times, leaving a remainder of 59.
Write down 9 as next digit of the result. 
Result so far: 9855.269
If we take 801 away from 860, we end up 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.

Moving on to step 10:
590 divided by 89 is 6 with a remainder of 56.
The number 6 becomes the next digit in our result. 
Result so far: 9855.2696
The remainder is 56 after subtracting 534 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 11:
When dividing 560 by 89, we get 6 with a remainder of 26.
The number 6 becomes the next digit in our result. 
Result so far: 9855.26966
If we take 534 away from 560, we end up with 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 9855.26966 with a remainder of 2.6e-05.