90442917 ÷ 289 
The aim is to understand the frequency of 289 in 90442917.

On to step 1:
9 divided by 289 is 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Grab the next digit (0) from the dividend, add it to 9, then carry on: 90 / 289

Step 2:
When dividing 90 by 289, we get 0 with a remainder of 90.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 90 after subtracting 0 from 90.
Include the next digit (4) from the dividend after 90, then repeat: 904 / 289

Step 3:
904 divided by 289 is 3 with a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 867 from 904, we get 37.
Fetch the next digit (4) from the dividend, attach it to 37 and continue: 374 / 289

On to step 4:
374 divided by 289 is 1 with a remainder of 85.
Put 1 as the next digit of the answer. 
Result so far: 31.0
Subtracting 289 from 374 leaves us with 85.
Include the next digit (2) from the dividend after 85, then repeat: 852 / 289

Advancing to step 5:
289 can be fit into 852 2 times, resulting in a remainder of 274.
The next digit of our result is 2. 
Result so far: 312.0
If we subtract 578 from 852, we get 274.
Bring next digit (9) of the dividend behind the 274 and repeat the process: 2749 / 289

Let's proceed to step 6:
289 can be fit into 2749 9 times, resulting in a remainder of 148.
Put 9 as the next digit of the answer. 
Result so far: 3129.0
If we subtract 2601 from 2749, we get 148.
Append the next digit (1) from the dividend to 148 and continue with: 1481 / 289

Advancing to step 7:
If we divide 1481 by 289, we get 5 and a remainder of 36.
The next digit of our result is 5. 
Result so far: 31295.0
If we subtract 1445 from 1481, we get 36.
Bring next digit (7) of the dividend behind the 36 and repeat the process: 367 / 289

Going ahead to step 8:
The number 289 fits into 367 1 times, leaving a remainder of 78.
Put 1 as the next digit of the answer. 
Result so far: 312951.0
If we take 289 away from 367, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Let's proceed to step 9:
If we divide 780 by 289, we get 2 and a remainder of 202.
Use 2 as the next digit of our solution. 
Result so far: 312951.2
Subtracting 578 from 780 leaves us with 202.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2020, and continue the process.

Moving on to step 10:
289 goes into 2020 6 times with a remainder of 286.
Record the quotient 6 as the next digit in the result. 
Result so far: 312951.26
Deduct 1734 from 2020 and we're left with 286.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2860, and continue the process.

On to step 11:
289 goes into 2860 9 times with a remainder of 259.
Use 9 as the next digit of our solution. 
Result so far: 312951.269
The remainder is 259 after subtracting 2601 from 2860.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2590, and continue the process.

Going ahead to step 12:
When dividing 2590 by 289, we get 8 with a remainder of 278.
Record the quotient 8 as the next digit in the result. 
Result so far: 312951.2698
If we subtract 2312 from 2590, we get 278.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2780, and continue the process.

Advancing to step 13:
2780 divided by 289 is 9 with a remainder of 179.
The number 9 becomes the next digit in our result. 
Result so far: 312951.26989
If we take 2601 away from 2780, we end up with 179.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1790, and continue the process.

Step 14:
289 can be fit into 1790 6 times, resulting in a remainder of 56.
Write down 6 as next digit of the result. 
Result so far: 312951.269896
Deduct 1734 from 1790 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 15:
If we divide 560 by 289, we get 1 and a remainder of 271.
Write down 1 as next digit of the result. 
Result so far: 312951.2698961
Subtract 289 from 560 to get 271.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2710, and continue the process.

Step 16:
If we divide 2710 by 289, we get 9 and a remainder of 109.
Use 9 as the next digit of our solution. 
Result so far: 312951.26989619
If we subtract 2601 from 2710, we get 109.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1090, and continue the process.

After the division, we end up with 312951.26989619 and a remainder of 1.09e-07.