We're dividing 217153 by 66 
We want to divide 217153 by 66.

Step 1:
The number 66 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 66

On to step 2:
The number 66 fits into 21 0 times, leaving a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 21 leaves us with 21.
Take the next digit (7) from the dividend and append it to 21, then repeat: 217 / 66

Advancing to step 3:
When dividing 217 by 66, we get 3 with a remainder of 19.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 19 after subtracting 198 from 217.
Include the next digit (1) from the dividend after 19, then repeat: 191 / 66

Step 4:
The number 66 fits into 191 2 times, leaving a remainder of 59.
Put 2 as the next digit of the answer. 
Result so far: 32.0
Subtract 132 from 191 to get 59.
Grab the next digit (5) from the dividend, add it to 59, then carry on: 595 / 66

Advancing to step 5:
595 divided by 66 is 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 329.0
Subtract 594 from 595 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 66

Going ahead to step 6:
13 divided by 66 is 0 with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 3290.0
If we take 0 away from 13, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
If we divide 130 by 66, we get 1 and a remainder of 64.
Record the quotient 1 as the next digit in the result. 
Result so far: 3290.1
If we take 66 away from 130, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 8:
The number 66 fits into 640 9 times, leaving a remainder of 46.
Put 9 as the next digit of the answer. 
Result so far: 3290.19
If we take 594 away from 640, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 9:
When dividing 460 by 66, we get 6 with a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 3290.196
If we take 396 away from 460, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 10:
When dividing 640 by 66, we get 9 with a remainder of 46.
The number 9 becomes the next digit in our result. 
Result so far: 3290.1969
Deduct 594 from 640 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 11:
If we divide 460 by 66, we get 6 and a remainder of 64.
The next digit of our result is 6. 
Result so far: 3290.19696
Subtracting 396 from 460 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 12:
When dividing 640 by 66, we get 9 with a remainder of 46.
The next digit of our result is 9. 
Result so far: 3290.196969
Deduct 594 from 640 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 13:
The number 66 fits into 460 6 times, leaving a remainder of 64.
The next digit of our result is 6. 
Result so far: 3290.1969696
Subtracting 396 from 460 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 14:
66 can be fit into 640 9 times, resulting in a remainder of 46.
The number 9 becomes the next digit in our result. 
Result so far: 3290.19696969
The remainder is 46 after subtracting 594 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

In conclusion, the division gives 3290.19696969 with a balance of 4.6e-08.