We're dividing 589910 by 75 
The aim is to understand the frequency of 75 in 589910.

Moving on to step 1:
5 divided by 75 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 75

On to step 2:
75 can be fit into 58 0 times, resulting in a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 58 and we're left with 58.
Fetch the next digit (9) from the dividend, attach it to 58 and continue: 589 / 75

Advancing to step 3:
75 can be fit into 589 7 times, resulting in a remainder of 64.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 64 after subtracting 525 from 589.
Fetch the next digit (9) from the dividend, attach it to 64 and continue: 649 / 75

Let's proceed to step 4:
When dividing 649 by 75, we get 8 with a remainder of 49.
The next digit of our result is 8. 
Result so far: 78.0
If we take 600 away from 649, we end up with 49.
Grab the next digit (1) from the dividend, add it to 49, then carry on: 491 / 75

Let's proceed to step 5:
The number 75 fits into 491 6 times, leaving a remainder of 41.
Put 6 as the next digit of the answer. 
Result so far: 786.0
If we subtract 450 from 491, we get 41.
Bring next digit (0) of the dividend behind the 41 and repeat the process: 410 / 75

Step 6:
75 can be fit into 410 5 times, resulting in a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 7865.0
If we subtract 375 from 410, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 7:
When dividing 350 by 75, we get 4 with a remainder of 50.
Use 4 as the next digit of our solution. 
Result so far: 7865.4
Subtracting 300 from 350 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 8:
If we divide 500 by 75, we get 6 and a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 7865.46
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 9:
500 divided by 75 is 6 with a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 7865.466
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

After the division, we end up with 7865.466 and a remainder of 0.005.