We look at the division of 103022 by 27 
Our goal is to divide 103022 by 27.

Step 1:
When dividing 1 by 27, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 27

Moving on to step 2:
The number 27 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
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

Moving on to step 3:
If we divide 103 by 27, we get 3 and a remainder of 22.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 81 from 103 leaves us with 22.
Bring next digit (0) of the dividend behind the 22 and repeat the process: 220 / 27

Going ahead to step 4:
27 goes into 220 8 times with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 38.0
Deduct 216 from 220 and we're left with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 27

Let's proceed to step 5:
27 goes into 42 1 times with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 381.0
The remainder is 15 after subtracting 27 from 42.
Include the next digit (2) from the dividend after 15, then repeat: 152 / 27

Let's proceed to step 6:
When dividing 152 by 27, we get 5 with a remainder of 17.
The next digit of our result is 5. 
Result so far: 3815.0
Deduct 135 from 152 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
170 divided by 27 is 6 with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 3815.6
Subtracting 162 from 170 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.

Step 8:
The number 27 fits into 80 2 times, leaving a remainder of 26.
The next digit of our result is 2. 
Result so far: 3815.62
Deduct 54 from 80 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 9:
When dividing 260 by 27, we get 9 with a remainder of 17.
The number 9 becomes the next digit in our result. 
Result so far: 3815.629
The remainder is 17 after subtracting 243 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 10:
The number 27 fits into 170 6 times, leaving a remainder of 8.
The next digit of our result is 6. 
Result so far: 3815.6296
The remainder is 8 after subtracting 162 from 170.
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 11:
27 can be fit into 80 2 times, resulting in a remainder of 26.
The next digit of our result is 2. 
Result so far: 3815.62962
If we take 54 away from 80, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 12:
The number 27 fits into 260 9 times, leaving a remainder of 17.
Use 9 as the next digit of our solution. 
Result so far: 3815.629629
The remainder is 17 after subtracting 243 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 13:
27 goes into 170 6 times with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 3815.6296296
Subtracting 162 from 170 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.

Going ahead to step 14:
The number 27 fits into 80 2 times, leaving a remainder of 26.
Record the quotient 2 as the next digit in the result. 
Result so far: 3815.62962962
Deduct 54 from 80 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Our division results in 3815.62962962 with a remaining 2.6e-08.