219261 ÷ 27 
We're looking to find how many times 27 goes into 219261.

Step 1:
If we divide 2 by 27, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 27

On to step 2:
27 goes into 21 0 times with a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 21 after subtracting 0 from 21.
Grab the next digit (9) from the dividend, add it to 21, then carry on: 219 / 27

Advancing to step 3:
27 can be fit into 219 8 times, resulting in a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we take 216 away from 219, we end up with 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 27

Advancing to step 4:
32 divided by 27 is 1 with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 81.0
Subtracting 27 from 32 leaves us with 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 27

Let's proceed to step 5:
The number 27 fits into 56 2 times, leaving a remainder of 2.
The next digit of our result is 2. 
Result so far: 812.0
If we take 54 away from 56, we end up with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 27

Advancing to step 6:
27 goes into 21 0 times with a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 8120.0
If we take 0 away from 21, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
27 can be fit into 210 7 times, resulting in a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 8120.7
Subtracting 189 from 210 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 8:
When dividing 210 by 27, we get 7 with a remainder of 21.
Write down 7 as next digit of the result. 
Result so far: 8120.77
Deduct 189 from 210 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

After the division, we end up with 8120.77 and a remainder of 0.021.