257682 divided by 21 
We want to divide 257682 by 21.

Advancing to step 1:
When dividing 2 by 21, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 21

Going ahead to step 2:
25 divided by 21 is 1 with a remainder of 4.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 21 from 25 and we're left with 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 21

Step 3:
When dividing 47 by 21, we get 2 with a remainder of 5.
The next digit of our result is 2. 
Result so far: 12.0
If we subtract 42 from 47, we get 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 21

Let's proceed to step 4:
56 divided by 21 is 2 with a remainder of 14.
The number 2 becomes the next digit in our result. 
Result so far: 122.0
Subtracting 42 from 56 leaves us with 14.
Fetch the next digit (8) from the dividend, attach it to 14 and continue: 148 / 21

Advancing to step 5:
21 goes into 148 7 times with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 1227.0
Subtract 147 from 148 to get 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 21

Moving on to step 6:
21 can be fit into 12 0 times, resulting in a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 12270.0
If we take 0 away from 12, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 7:
If we divide 120 by 21, we get 5 and a remainder of 15.
The next digit of our result is 5. 
Result so far: 12270.5
The remainder is 15 after subtracting 105 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
When dividing 150 by 21, we get 7 with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 12270.57
If we take 147 away from 150, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 9:
30 divided by 21 is 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 12270.571
Subtracting 21 from 30 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 10:
If we divide 90 by 21, we get 4 and a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 12270.5714
If we take 84 away from 90, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 11:
When dividing 60 by 21, we get 2 with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 12270.57142
If we subtract 42 from 60, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 12:
180 divided by 21 is 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 12270.571428
If we take 168 away from 180, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 13:
21 goes into 120 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 12270.5714285
Deduct 105 from 120 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 14:
150 divided by 21 is 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 12270.57142857
The remainder is 3 after subtracting 147 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 12270.57142857 with a balance of 3e-09.