213116 ÷ 27 
We want to figure out the number of times 213116 can be divided by 27.

Step 1:
If we divide 2 by 27, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 27

Step 2:
The number 27 fits into 21 0 times, leaving a remainder of 21.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Append the next digit (3) from the dividend to 21 and continue with: 213 / 27

Step 3:
If we divide 213 by 27, we get 7 and a remainder of 24.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 189 from 213 and we're left with 24.
Append the next digit (1) from the dividend to 24 and continue with: 241 / 27

Let's proceed to step 4:
27 can be fit into 241 8 times, resulting in a remainder of 25.
The next digit of our result is 8. 
Result so far: 78.0
Deduct 216 from 241 and we're left with 25.
Include the next digit (1) from the dividend after 25, then repeat: 251 / 27

On to step 5:
27 can be fit into 251 9 times, resulting in a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 789.0
Subtract 243 from 251 to get 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 27

On to step 6:
The number 27 fits into 86 3 times, leaving a remainder of 5.
The next digit of our result is 3. 
Result so far: 7893.0
If we take 81 away from 86, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
50 divided by 27 is 1 with a remainder of 23.
The next digit of our result is 1. 
Result so far: 7893.1
The remainder is 23 after subtracting 27 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 8:
If we divide 230 by 27, we get 8 and a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 7893.18
If we subtract 216 from 230, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 9:
The number 27 fits into 140 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 7893.185
Deduct 135 from 140 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
50 divided by 27 is 1 with a remainder of 23.
The next digit of our result is 1. 
Result so far: 7893.1851
Subtracting 27 from 50 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 11:
When dividing 230 by 27, we get 8 with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 7893.18518
Deduct 216 from 230 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 12:
If we divide 140 by 27, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 7893.185185
Subtract 135 from 140 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 13:
If we divide 50 by 27, we get 1 and a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 7893.1851851
If we subtract 27 from 50, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 14:
If we divide 230 by 27, we get 8 and a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 7893.18518518
If we take 216 away from 230, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 7893.18518518, and the remainder is 1.4e-08.