21431 divided by 66 
We want to divide 21431 by 66.

Step 1:
If we divide 2 by 66, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 66

Advancing to step 2:
When dividing 21 by 66, we get 0 with a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 21 after subtracting 0 from 21.
Bring next digit (4) of the dividend behind the 21 and repeat the process: 214 / 66

Going ahead to step 3:
When dividing 214 by 66, we get 3 with a remainder of 16.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 16 after subtracting 198 from 214.
Bring next digit (3) of the dividend behind the 16 and repeat the process: 163 / 66

Going ahead to step 4:
163 divided by 66 is 2 with a remainder of 31.
The next digit of our result is 2. 
Result so far: 32.0
Subtract 132 from 163 to get 31.
Fetch the next digit (1) from the dividend, attach it to 31 and continue: 311 / 66

Advancing to step 5:
66 goes into 311 4 times with a remainder of 47.
The next digit of our result is 4. 
Result so far: 324.0
If we take 264 away from 311, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 6:
If we divide 470 by 66, we get 7 and a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 324.7
Subtracting 462 from 470 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
66 can be fit into 80 1 times, resulting in a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 324.71
If we subtract 66 from 80, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 8:
When dividing 140 by 66, we get 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 324.712
Deduct 132 from 140 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
The number 66 fits into 80 1 times, leaving a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 324.7121
Deduct 66 from 80 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 10:
66 goes into 140 2 times with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 324.71212
Deduct 132 from 140 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 11:
80 divided by 66 is 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 324.712121
If we subtract 66 from 80, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 12:
When dividing 140 by 66, we get 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 324.7121212
Deduct 132 from 140 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 13:
80 divided by 66 is 1 with a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 324.71212121
Deduct 66 from 80 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

After the division, we end up with 324.71212121 and a remainder of 1.4e-08.