Let's divide 214766 by 21
We're looking to find how many times 21 goes into 214766.

Moving on to step 1:
21 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 21

On to step 2:
When dividing 21 by 21, we get 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 0 after subtracting 21 from 21.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 21

Step 3:
The number 21 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 10.0
Subtract 0 from 4 to get 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 21

Moving on to step 4:
47 divided by 21 is 2 with a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 102.0
If we take 42 away from 47, we end up with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 21

Advancing to step 5:
21 can be fit into 56 2 times, resulting in a remainder of 14.
Write down 2 as next digit of the result. 
Result so far: 1022.0
Subtracting 42 from 56 leaves us with 14.
Fetch the next digit (6) from the dividend, attach it to 14 and continue: 146 / 21

Let's proceed to step 6:
If we divide 146 by 21, we get 6 and a remainder of 20.
The next digit of our result is 6. 
Result so far: 10226.0
Deduct 126 from 146 and we're left 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.

Step 7:
When dividing 200 by 21, we get 9 with a remainder of 11.
The next digit of our result is 9. 
Result so far: 10226.9
Subtracting 189 from 200 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
The number 21 fits into 110 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 10226.95
If we subtract 105 from 110, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 9:
50 divided by 21 is 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 10226.952
Subtract 42 from 50 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
21 can be fit into 80 3 times, resulting in a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 10226.9523
Deduct 63 from 80 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 11:
21 can be fit into 170 8 times, resulting in a remainder of 2.
The next digit of our result is 8. 
Result so far: 10226.95238
Subtracting 168 from 170 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.

Step 12:
21 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 10226.95238
Deduct 0 from 20 and we're left 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.

Step 13:
When dividing 200 by 21, we get 9 with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 10226.9523809
Deduct 189 from 200 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 14:
When dividing 110 by 21, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 10226.95238095
Subtracting 105 from 110 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

After the division, we end up with 10226.95238095 and a remainder of 5e-09.