We look at the division of 2590082 by 872 
The aim is to understand the frequency of 872 in 2590082.

Step 1:
2 divided by 872 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 872

On to step 2:
25 divided by 872 is 0 with a remainder of 25.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Bring next digit (9) of the dividend behind the 25 and repeat the process: 259 / 872

Step 3:
The number 872 fits into 259 0 times, leaving a remainder of 259.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 259 after subtracting 0 from 259.
Append the next digit (0) from the dividend to 259 and continue with: 2590 / 872

Step 4:
The number 872 fits into 2590 2 times, leaving a remainder of 846.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 1744 from 2590 leaves us with 846.
Include the next digit (0) from the dividend after 846, then repeat: 8460 / 872

On to step 5:
872 can be fit into 8460 9 times, resulting in a remainder of 612.
Use 9 as the next digit of our solution. 
Result so far: 29.0
If we subtract 7848 from 8460, we get 612.
Take the next digit (8) from the dividend and append it to 612, then repeat: 6128 / 872

Moving on to step 6:
The number 872 fits into 6128 7 times, leaving a remainder of 24.
Write down 7 as next digit of the result. 
Result so far: 297.0
Deduct 6104 from 6128 and we're left with 24.
Grab the next digit (2) from the dividend, add it to 24, then carry on: 242 / 872

Let's proceed to step 7:
872 goes into 242 0 times with a remainder of 242.
Use 0 as the next digit of our solution. 
Result so far: 2970.0
Deduct 0 from 242 and we're left with 242.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2420, and continue the process.

Advancing to step 8:
The number 872 fits into 2420 2 times, leaving a remainder of 676.
Put 2 as the next digit of the answer. 
Result so far: 2970.2
If we subtract 1744 from 2420, we get 676.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6760, and continue the process.

Step 9:
872 can be fit into 6760 7 times, resulting in a remainder of 656.
The next digit of our result is 7. 
Result so far: 2970.27
The remainder is 656 after subtracting 6104 from 6760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6560, and continue the process.

Step 10:
When dividing 6560 by 872, we get 7 with a remainder of 456.
Put 7 as the next digit of the answer. 
Result so far: 2970.277
Deduct 6104 from 6560 and we're left with 456.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4560, and continue the process.

The quotient of the division is 2970.277, and the remainder is 0.0456.