We're dividing 217742 by 55 
We want to divide 217742 by 55.

Let's proceed to step 1:
2 divided by 55 is 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 55

On to step 2:
If we divide 21 by 55, we get 0 and a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 21, we end up with 21.
Fetch the next digit (7) from the dividend, attach it to 21 and continue: 217 / 55

Moving on to step 3:
When dividing 217 by 55, we get 3 with a remainder of 52.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 165 from 217 and we're left with 52.
Bring next digit (7) of the dividend behind the 52 and repeat the process: 527 / 55

Going ahead to step 4:
527 divided by 55 is 9 with a remainder of 32.
Put 9 as the next digit of the answer. 
Result so far: 39.0
If we subtract 495 from 527, we get 32.
Include the next digit (4) from the dividend after 32, then repeat: 324 / 55

Advancing to step 5:
When dividing 324 by 55, we get 5 with a remainder of 49.
The next digit of our result is 5. 
Result so far: 395.0
Deduct 275 from 324 and we're left with 49.
Append the next digit (2) from the dividend to 49 and continue with: 492 / 55

Moving on to step 6:
If we divide 492 by 55, we get 8 and a remainder of 52.
The next digit of our result is 8. 
Result so far: 3958.0
If we subtract 440 from 492, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 7:
520 divided by 55 is 9 with a remainder of 25.
Record the quotient 9 as the next digit in the result. 
Result so far: 3958.9
If we subtract 495 from 520, 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.

Advancing to step 8:
The number 55 fits into 250 4 times, leaving a remainder of 30.
The next digit of our result is 4. 
Result so far: 3958.94
Subtract 220 from 250 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 9:
The number 55 fits into 300 5 times, leaving a remainder of 25.
The next digit of our result is 5. 
Result so far: 3958.945
Subtract 275 from 300 to 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.

Going ahead to step 10:
When dividing 250 by 55, we get 4 with a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 3958.9454
Subtract 220 from 250 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 11:
When dividing 300 by 55, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 3958.94545
Subtract 275 from 300 to 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.

Moving on to step 12:
If we divide 250 by 55, we get 4 and a remainder of 30.
Put 4 as the next digit of the answer. 
Result so far: 3958.945454
The remainder is 30 after subtracting 220 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 13:
If we divide 300 by 55, we get 5 and a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 3958.9454545
Subtracting 275 from 300 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.

Step 14:
The number 55 fits into 250 4 times, leaving a remainder of 30.
Write down 4 as next digit of the result. 
Result so far: 3958.94545454
Subtracting 220 from 250 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 3958.94545454 with a balance of 3e-08.