1527 ÷ 55 
Our goal is to divide 1527 by 55.

On to step 1:
When dividing 1 by 55, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 55

On to step 2:
If we divide 15 by 55, we get 0 and a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 15, we end up with 15.
Bring next digit (2) of the dividend behind the 15 and repeat the process: 152 / 55

Step 3:
55 goes into 152 2 times with a remainder of 42.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 110 from 152 and we're left with 42.
Append the next digit (7) from the dividend to 42 and continue with: 427 / 55

Let's proceed to step 4:
When dividing 427 by 55, we get 7 with a remainder of 42.
Put 7 as the next digit of the answer. 
Result so far: 27.0
Subtracting 385 from 427 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 5:
55 can be fit into 420 7 times, resulting in a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 27.7
Subtracting 385 from 420 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 6:
350 divided by 55 is 6 with a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 27.76
Subtract 330 from 350 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 7:
If we divide 200 by 55, we get 3 and a remainder of 35.
The next digit of our result is 3. 
Result so far: 27.763
If we take 165 away from 200, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 8:
350 divided by 55 is 6 with a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 27.7636
The remainder is 20 after subtracting 330 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 9:
55 can be fit into 200 3 times, resulting in a remainder of 35.
Record the quotient 3 as the next digit in the result. 
Result so far: 27.76363
If we take 165 away from 200, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 10:
When dividing 350 by 55, we get 6 with a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 27.763636
Deduct 330 from 350 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 11:
When dividing 200 by 55, we get 3 with a remainder of 35.
Write down 3 as next digit of the result. 
Result so far: 27.7636363
Subtracting 165 from 200 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 12:
If we divide 350 by 55, we get 6 and a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 27.76363636
The remainder is 20 after subtracting 330 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 27.76363636 with a remainder of 2e-08.