75965 ÷ 24 
Our goal is to divide 75965 by 24.

Let's proceed to step 1:
24 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 24

Step 2:
The number 24 fits into 75 3 times, leaving a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 72 from 75 and we're left with 3.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 24

Advancing to step 3:
When dividing 39 by 24, we get 1 with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 31.0
If we subtract 24 from 39, we get 15.
Grab the next digit (6) from the dividend, add it to 15, then carry on: 156 / 24

Moving on to step 4:
When dividing 156 by 24, we get 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 316.0
The remainder is 12 after subtracting 144 from 156.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 24

Moving on to step 5:
If we divide 125 by 24, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 3165.0
If we subtract 120 from 125, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 6:
The number 24 fits into 50 2 times, leaving a remainder of 2.
The next digit of our result is 2. 
Result so far: 3165.2
If we subtract 48 from 50, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
20 divided by 24 is 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 3165.2
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
24 goes into 200 8 times with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 3165.208
Subtracting 192 from 200 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
When dividing 80 by 24, we get 3 with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 3165.2083
If we subtract 72 from 80, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
When dividing 80 by 24, we get 3 with a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 3165.20833
Deduct 72 from 80 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 3165.20833 with a remaining 8e-06.