We divide 975589 by 75
We want to divide 975589 by 75.

Let's proceed to step 1:
9 divided by 75 is 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 75

Moving on to step 2:
75 can be fit into 97 1 times, resulting in a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 22 after subtracting 75 from 97.
Include the next digit (5) from the dividend after 22, then repeat: 225 / 75

Going ahead to step 3:
If we divide 225 by 75, we get 3 and a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 13.0
If we take 225 away from 225, we end up with 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 75

Step 4:
The number 75 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 130.0
If we subtract 0 from 5, we get 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 75

Let's proceed to step 5:
75 goes into 58 0 times with a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 1300.0
If we subtract 0 from 58, we get 58.
Take the next digit (9) from the dividend and append it to 58, then repeat: 589 / 75

Step 6:
When dividing 589 by 75, we get 7 with a remainder of 64.
Write down 7 as next digit of the result. 
Result so far: 13007.0
Subtract 525 from 589 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 7:
640 divided by 75 is 8 with a remainder of 40.
Use 8 as the next digit of our solution. 
Result so far: 13007.8
The remainder is 40 after subtracting 600 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
When dividing 400 by 75, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 13007.85
Subtract 375 from 400 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 9:
75 goes into 250 3 times with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 13007.853
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 10:
75 can be fit into 250 3 times, resulting in a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 13007.8533
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The quotient of the division is 13007.8533, and the remainder is 0.00025.