We're dividing 95874 by 27 
Our goal is to divide 95874 by 27.

Step 1:
9 divided by 27 is 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 27

Going ahead to step 2:
95 divided by 27 is 3 with a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 81 from 95 to get 14.
Bring next digit (8) of the dividend behind the 14 and repeat the process: 148 / 27

Moving on to step 3:
148 divided by 27 is 5 with a remainder of 13.
The next digit of our result is 5. 
Result so far: 35.0
The remainder is 13 after subtracting 135 from 148.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 27

Step 4:
27 can be fit into 137 5 times, resulting in a remainder of 2.
The next digit of our result is 5. 
Result so far: 355.0
Deduct 135 from 137 and we're left with 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 27

Advancing to step 5:
27 can be fit into 24 0 times, resulting in a remainder of 24.
Use 0 as the next digit of our solution. 
Result so far: 3550.0
Deduct 0 from 24 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 6:
The number 27 fits into 240 8 times, leaving a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 3550.8
The remainder is 24 after subtracting 216 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 7:
240 divided by 27 is 8 with a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 3550.88
If we take 216 away from 240, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The quotient of the division is 3550.88, and the remainder is 0.024.