416825 divided by 21 
Let's see how many times 21 fits into 416825.

Going ahead to step 1:
21 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 21

On to step 2:
21 can be fit into 41 1 times, resulting in a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 21 from 41 to get 20.
Include the next digit (6) from the dividend after 20, then repeat: 206 / 21

Moving on to step 3:
21 can be fit into 206 9 times, resulting in a remainder of 17.
Use 9 as the next digit of our solution. 
Result so far: 19.0
If we subtract 189 from 206, we get 17.
Include the next digit (8) from the dividend after 17, then repeat: 178 / 21

Advancing to step 4:
If we divide 178 by 21, we get 8 and a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 198.0
If we take 168 away from 178, we end up with 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 21

Step 5:
21 goes into 102 4 times with a remainder of 18.
Write down 4 as next digit of the result. 
Result so far: 1984.0
If we subtract 84 from 102, we get 18.
Fetch the next digit (5) from the dividend, attach it to 18 and continue: 185 / 21

Step 6:
When dividing 185 by 21, we get 8 with a remainder of 17.
Record the quotient 8 as the next digit in the result. 
Result so far: 19848.0
The remainder is 17 after subtracting 168 from 185.
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 7:
21 goes into 170 8 times with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 19848.8
Deduct 168 from 170 and we're left 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.

Going ahead to step 8:
20 divided by 21 is 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 19848.8
The remainder is 20 after subtracting 0 from 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 9:
When dividing 200 by 21, we get 9 with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 19848.809
If we take 189 away from 200, we end up 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.

On to step 10:
21 goes into 110 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 19848.8095
Subtract 105 from 110 to 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.

Going ahead to step 11:
When dividing 50 by 21, we get 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 19848.80952
If we take 42 away from 50, we end up 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 12:
The number 21 fits into 80 3 times, leaving a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 19848.809523
Subtract 63 from 80 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 13:
The number 21 fits into 170 8 times, leaving a remainder of 2.
The next digit of our result is 8. 
Result so far: 19848.8095238
If we subtract 168 from 170, 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.

Step 14:
20 divided by 21 is 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 19848.8095238
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.

Our division results in 19848.8095238 with a remaining 2e-08.