Let's divide 103596 by 27
We're looking to find how many times 27 goes into 103596.

Step 1:
The number 27 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 27

Step 2:
If we divide 10 by 27, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 27

Going ahead to step 3:
27 goes into 103 3 times with a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 22 after subtracting 81 from 103.
Take the next digit (5) from the dividend and append it to 22, then repeat: 225 / 27

On to step 4:
27 can be fit into 225 8 times, resulting in a remainder of 9.
The number 8 becomes the next digit in our result. 
Result so far: 38.0
If we subtract 216 from 225, we get 9.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 27

Let's proceed to step 5:
27 goes into 99 3 times with a remainder of 18.
The number 3 becomes the next digit in our result. 
Result so far: 383.0
Subtract 81 from 99 to get 18.
Grab the next digit (6) from the dividend, add it to 18, then carry on: 186 / 27

On to step 6:
27 can be fit into 186 6 times, resulting in a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 3836.0
If we take 162 away from 186, 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.

Step 7:
If we divide 240 by 27, we get 8 and a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 3836.8
Subtracting 216 from 240 leaves us 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.

On to step 8:
If we divide 240 by 27, we get 8 and a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 3836.88
If we subtract 216 from 240, we get 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 3836.88, and the remainder is 0.024.