5110 ÷ 27 
We're looking to find how many times 27 goes into 5110.

On to step 1:
The number 27 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 27

Step 2:
When dividing 51 by 27, we get 1 with a remainder of 24.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 27 from 51, we get 24.
Bring next digit (1) of the dividend behind the 24 and repeat the process: 241 / 27

Going ahead to step 3:
27 can be fit into 241 8 times, resulting in a remainder of 25.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
Subtracting 216 from 241 leaves us with 25.
Bring next digit (0) of the dividend behind the 25 and repeat the process: 250 / 27

Advancing to step 4:
250 divided by 27 is 9 with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 189.0
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 5:
When dividing 70 by 27, we get 2 with a remainder of 16.
The next digit of our result is 2. 
Result so far: 189.2
Deduct 54 from 70 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 6:
27 goes into 160 5 times with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 189.25
If we take 135 away from 160, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 7:
27 can be fit into 250 9 times, resulting in a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 189.259
If we take 243 away from 250, we end up 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.

On to step 8:
27 goes into 70 2 times with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 189.2592
Subtracting 54 from 70 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 9:
27 goes into 160 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 189.25925
Subtracting 135 from 160 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 10:
If we divide 250 by 27, we get 9 and a remainder of 7.
The next digit of our result is 9. 
Result so far: 189.259259
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.

Advancing to step 11:
27 goes into 70 2 times with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 189.2592592
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 12:
If we divide 160 by 27, we get 5 and a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 189.25925925
If we take 135 away from 160, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Our division results in 189.25925925 with a remaining 2.5e-08.