We look at the division of 144626 by 66 
Let's see how many times 66 fits into 144626.

Step 1:
1 divided by 66 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 66

Step 2:
66 can be fit into 14 0 times, resulting in a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 14 leaves us with 14.
Include the next digit (4) from the dividend after 14, then repeat: 144 / 66

Let's proceed to step 3:
When dividing 144 by 66, we get 2 with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 132 from 144 to get 12.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 66

Moving on to step 4:
66 goes into 126 1 times with a remainder of 60.
Use 1 as the next digit of our solution. 
Result so far: 21.0
The remainder is 60 after subtracting 66 from 126.
Take the next digit (2) from the dividend and append it to 60, then repeat: 602 / 66

Let's proceed to step 5:
602 divided by 66 is 9 with a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 219.0
The remainder is 8 after subtracting 594 from 602.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 66

Advancing to step 6:
If we divide 86 by 66, we get 1 and a remainder of 20.
Put 1 as the next digit of the answer. 
Result so far: 2191.0
The remainder is 20 after subtracting 66 from 86.
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 7:
When dividing 200 by 66, we get 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 2191.3
If we subtract 198 from 200, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
66 goes into 20 0 times with a remainder of 20.
The next digit of our result is 0. 
Result so far: 2191.3
If we subtract 0 from 20, we 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.

On to step 9:
200 divided by 66 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 2191.303
If we subtract 198 from 200, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
The number 66 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 2191.303
If we subtract 0 from 20, we 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 11:
The number 66 fits into 200 3 times, leaving a remainder of 2.
The next digit of our result is 3. 
Result so far: 2191.30303
The remainder is 2 after subtracting 198 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 12:
66 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 2191.30303
Subtract 0 from 20 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.

Moving on to step 13:
66 goes into 200 3 times with a remainder of 2.
The next digit of our result is 3. 
Result so far: 2191.3030303
Subtracting 198 from 200 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 14:
66 can be fit into 20 0 times, resulting in a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 2191.3030303
Subtracting 0 from 20 leaves us 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.

In conclusion, the division gives 2191.3030303 with a balance of 2e-08.