75858 ÷ 25 
We're looking to find how many times 25 goes into 75858.

Let's proceed to step 1:
When dividing 7 by 25, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 25

Moving on to step 2:
75 divided by 25 is 3 with a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 0 after subtracting 75 from 75.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 25

Let's proceed to step 3:
8 divided by 25 is 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 30.0
Subtract 0 from 8 to get 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 25

Advancing to step 4:
25 can be fit into 85 3 times, resulting in a remainder of 10.
The next digit of our result is 3. 
Result so far: 303.0
Subtracting 75 from 85 leaves us with 10.
Append the next digit (8) from the dividend to 10 and continue with: 108 / 25

Advancing to step 5:
The number 25 fits into 108 4 times, leaving a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 3034.0
If we take 100 away from 108, we end up 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.

Going ahead to step 6:
80 divided by 25 is 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 3034.3
Subtracting 75 from 80 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
50 divided by 25 is 2 with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 3034.32
Subtracting 50 from 50 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
When dividing 0 by 25, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 3034.32
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 3034.32
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 3034.32 with a remaining 0.0.