231679 ÷ 66 
Our goal is to divide 231679 by 66.

Going ahead to step 1:
2 divided by 66 is 0 with 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.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 66

Let's proceed to step 2:
When dividing 23 by 66, we get 0 with a remainder of 23.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 23 and we're left with 23.
Bring next digit (1) of the dividend behind the 23 and repeat the process: 231 / 66

On to step 3:
If we divide 231 by 66, we get 3 and a remainder of 33.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 198 from 231 leaves us with 33.
Include the next digit (6) from the dividend after 33, then repeat: 336 / 66

Advancing to step 4:
336 divided by 66 is 5 with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 35.0
Deduct 330 from 336 and we're left with 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 66

Advancing to step 5:
The number 66 fits into 67 1 times, leaving a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 351.0
If we subtract 66 from 67, we get 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 66

On to step 6:
19 divided by 66 is 0 with a remainder of 19.
Record the quotient 0 as the next digit in the result. 
Result so far: 3510.0
Subtract 0 from 19 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 7:
When dividing 190 by 66, we get 2 with a remainder of 58.
The next digit of our result is 2. 
Result so far: 3510.2
Subtracting 132 from 190 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 8:
If we divide 580 by 66, we get 8 and a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 3510.28
Subtract 528 from 580 to 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.

Advancing to step 9:
If we divide 520 by 66, we get 7 and a remainder of 58.
The next digit of our result is 7. 
Result so far: 3510.287
Deduct 462 from 520 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 10:
The number 66 fits into 580 8 times, leaving a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 3510.2878
The remainder is 52 after subtracting 528 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 11:
When dividing 520 by 66, we get 7 with a remainder of 58.
Put 7 as the next digit of the answer. 
Result so far: 3510.28787
If we take 462 away from 520, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 12:
66 can be fit into 580 8 times, resulting in a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 3510.287878
The remainder is 52 after subtracting 528 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 13:
66 goes into 520 7 times with a remainder of 58.
The number 7 becomes the next digit in our result. 
Result so far: 3510.2878787
Subtract 462 from 520 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 14:
If we divide 580 by 66, we get 8 and a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 3510.28787878
The remainder is 52 after subtracting 528 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

In conclusion, the division gives 3510.28787878 with a balance of 5.2e-08.