We're dividing 10261558 by 289 
The aim is to understand the frequency of 289 in 10261558.

On to step 1:
When dividing 1 by 289, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 289

Advancing to step 2:
289 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Bring next digit (2) of the dividend behind the 10 and repeat the process: 102 / 289

Let's proceed to step 3:
102 divided by 289 is 0 with a remainder of 102.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 102, we get 102.
Append the next digit (6) from the dividend to 102 and continue with: 1026 / 289

Let's proceed to step 4:
289 goes into 1026 3 times with a remainder of 159.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 867 from 1026 to get 159.
Take the next digit (1) from the dividend and append it to 159, then repeat: 1591 / 289

Let's proceed to step 5:
1591 divided by 289 is 5 with a remainder of 146.
Use 5 as the next digit of our solution. 
Result so far: 35.0
Deduct 1445 from 1591 and we're left with 146.
Grab the next digit (5) from the dividend, add it to 146, then carry on: 1465 / 289

Going ahead to step 6:
The number 289 fits into 1465 5 times, leaving a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 355.0
If we take 1445 away from 1465, we end up with 20.
Append the next digit (5) from the dividend to 20 and continue with: 205 / 289

Moving on to step 7:
The number 289 fits into 205 0 times, leaving a remainder of 205.
Put 0 as the next digit of the answer. 
Result so far: 3550.0
If we subtract 0 from 205, we get 205.
Include the next digit (8) from the dividend after 205, then repeat: 2058 / 289

Advancing to step 8:
If we divide 2058 by 289, we get 7 and a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 35507.0
The remainder is 35 after subtracting 2023 from 2058.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 9:
When dividing 350 by 289, we get 1 with a remainder of 61.
Use 1 as the next digit of our solution. 
Result so far: 35507.1
Deduct 289 from 350 and we're left 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.

Going ahead to step 10:
If we divide 610 by 289, we get 2 and a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 35507.12
Deduct 578 from 610 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 11:
If we divide 320 by 289, we get 1 and a remainder of 31.
The number 1 becomes the next digit in our result. 
Result so far: 35507.121
Deduct 289 from 320 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 12:
The number 289 fits into 310 1 times, leaving a remainder of 21.
The next digit of our result is 1. 
Result so far: 35507.1211
Subtract 289 from 310 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The quotient of the division is 35507.1211, and the remainder is 0.00021.