We're dividing 101595 by 18 
Our goal is to divide 101595 by 18.

Going ahead to step 1:
The number 18 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 18

Step 2:
18 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 18

Moving on to step 3:
18 goes into 101 5 times with a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 90 away from 101, we end up with 11.
Include the next digit (5) from the dividend after 11, then repeat: 115 / 18

Step 4:
18 goes into 115 6 times with a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 56.0
If we subtract 108 from 115, we get 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 18

Step 5:
79 divided by 18 is 4 with a remainder of 7.
The next digit of our result is 4. 
Result so far: 564.0
Subtract 72 from 79 to get 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 18

Let's proceed to step 6:
The number 18 fits into 75 4 times, leaving a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 5644.0
If we subtract 72 from 75, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
The number 18 fits into 30 1 times, leaving a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 5644.1
The remainder is 12 after subtracting 18 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
18 can be fit into 120 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 5644.16
If we subtract 108 from 120, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
When dividing 120 by 18, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 5644.166
Subtracting 108 from 120 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The quotient of the division is 5644.166, and the remainder is 0.0012.