We're dividing 213415 by 27 
We want to figure out the number of times 213415 can be divided by 27.

Going ahead to step 1:
The number 27 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 27

Going ahead to step 2:
27 goes into 21 0 times with a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 21 after subtracting 0 from 21.
Bring next digit (3) of the dividend behind the 21 and repeat the process: 213 / 27

Moving on to step 3:
When dividing 213 by 27, we get 7 with a remainder of 24.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtract 189 from 213 to get 24.
Take the next digit (4) from the dividend and append it to 24, then repeat: 244 / 27

Advancing to step 4:
When dividing 244 by 27, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 79.0
Subtract 243 from 244 to get 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 27

Moving on to step 5:
If we divide 11 by 27, we get 0 and a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 790.0
Subtracting 0 from 11 leaves us with 11.
Append the next digit (5) from the dividend to 11 and continue with: 115 / 27

On to step 6:
When dividing 115 by 27, we get 4 with a remainder of 7.
The next digit of our result is 4. 
Result so far: 7904.0
Subtract 108 from 115 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
27 can be fit into 70 2 times, resulting in a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 7904.2
Subtract 54 from 70 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 8:
The number 27 fits into 160 5 times, leaving a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 7904.25
The remainder is 25 after subtracting 135 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
27 goes into 250 9 times with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 7904.259
Deduct 243 from 250 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 10:
27 can be fit into 70 2 times, resulting in a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 7904.2592
If we subtract 54 from 70, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 11:
27 can be fit into 160 5 times, resulting in a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 7904.25925
The remainder is 25 after subtracting 135 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 12:
When dividing 250 by 27, we get 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 7904.259259
The remainder is 7 after subtracting 243 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 13:
70 divided by 27 is 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 7904.2592592
If we subtract 54 from 70, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 14:
160 divided by 27 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 7904.25925925
If we subtract 135 from 160, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final outcome is 7904.25925925, with a leftover of 2.5e-08.