We look at the division of 2125806 by 581 
The aim is to understand the frequency of 581 in 2125806.

On to step 1:
2 divided by 581 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 581

Step 2:
When dividing 21 by 581, we get 0 with a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 21 leaves us with 21.
Bring next digit (2) of the dividend behind the 21 and repeat the process: 212 / 581

Step 3:
581 can be fit into 212 0 times, resulting in a remainder of 212.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 212, we get 212.
Include the next digit (5) from the dividend after 212, then repeat: 2125 / 581

Advancing to step 4:
2125 divided by 581 is 3 with a remainder of 382.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 1743 from 2125, we get 382.
Grab the next digit (8) from the dividend, add it to 382, then carry on: 3828 / 581

Advancing to step 5:
The number 581 fits into 3828 6 times, leaving a remainder of 342.
The number 6 becomes the next digit in our result. 
Result so far: 36.0
The remainder is 342 after subtracting 3486 from 3828.
Grab the next digit (0) from the dividend, add it to 342, then carry on: 3420 / 581

Advancing to step 6:
The number 581 fits into 3420 5 times, leaving a remainder of 515.
Write down 5 as next digit of the result. 
Result so far: 365.0
Deduct 2905 from 3420 and we're left with 515.
Bring next digit (6) of the dividend behind the 515 and repeat the process: 5156 / 581

Step 7:
If we divide 5156 by 581, we get 8 and a remainder of 508.
Write down 8 as next digit of the result. 
Result so far: 3658.0
Deduct 4648 from 5156 and we're left with 508.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5080, and continue the process.

Going ahead to step 8:
The number 581 fits into 5080 8 times, leaving a remainder of 432.
The next digit of our result is 8. 
Result so far: 3658.8
Subtract 4648 from 5080 to get 432.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4320, and continue the process.

Let's proceed to step 9:
581 can be fit into 4320 7 times, resulting in a remainder of 253.
Write down 7 as next digit of the result. 
Result so far: 3658.87
Subtract 4067 from 4320 to get 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2530, and continue the process.

Going ahead to step 10:
When dividing 2530 by 581, we get 4 with a remainder of 206.
Write down 4 as next digit of the result. 
Result so far: 3658.874
Subtract 2324 from 2530 to get 206.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2060, and continue the process.

Step 11:
581 goes into 2060 3 times with a remainder of 317.
Use 3 as the next digit of our solution. 
Result so far: 3658.8743
The remainder is 317 after subtracting 1743 from 2060.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3170, and continue the process.

On to step 12:
3170 divided by 581 is 5 with a remainder of 265.
The next digit of our result is 5. 
Result so far: 3658.87435
If we subtract 2905 from 3170, we get 265.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2650, and continue the process.

Let's proceed to step 13:
If we divide 2650 by 581, we get 4 and a remainder of 326.
Record the quotient 4 as the next digit in the result. 
Result so far: 3658.874354
Subtract 2324 from 2650 to get 326.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3260, and continue the process.

Advancing to step 14:
If we divide 3260 by 581, we get 5 and a remainder of 355.
Use 5 as the next digit of our solution. 
Result so far: 3658.8743545
If we subtract 2905 from 3260, we get 355.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3550, and continue the process.

Going ahead to step 15:
3550 divided by 581 is 6 with a remainder of 64.
The next digit of our result is 6. 
Result so far: 3658.87435456
If we take 3486 away from 3550, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The quotient of the division is 3658.87435456, and the remainder is 6.4e-08.