We're dividing 269278 by 21 
We're looking to find how many times 21 goes into 269278.

Let's proceed to step 1:
If we divide 2 by 21, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 21

Step 2:
21 goes into 26 1 times with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 21 from 26 leaves us with 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 21

Step 3:
When dividing 59 by 21, we get 2 with a remainder of 17.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we subtract 42 from 59, we get 17.
Take the next digit (2) from the dividend and append it to 17, then repeat: 172 / 21

Advancing to step 4:
172 divided by 21 is 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 128.0
Deduct 168 from 172 and we're left with 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 21

Advancing to step 5:
When dividing 47 by 21, we get 2 with a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 1282.0
The remainder is 5 after subtracting 42 from 47.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 21

On to step 6:
When dividing 58 by 21, we get 2 with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 12822.0
The remainder is 16 after subtracting 42 from 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 7:
When dividing 160 by 21, we get 7 with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 12822.7
The remainder is 13 after subtracting 147 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 8:
When dividing 130 by 21, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 12822.76
If we subtract 126 from 130, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
21 can be fit into 40 1 times, resulting in a remainder of 19.
The next digit of our result is 1. 
Result so far: 12822.761
Deduct 21 from 40 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 10:
When dividing 190 by 21, we get 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 12822.7619
If we take 189 away from 190, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 11:
When dividing 10 by 21, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 12822.7619
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 12:
100 divided by 21 is 4 with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 12822.761904
Subtracting 84 from 100 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 13:
The number 21 fits into 160 7 times, leaving a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 12822.7619047
The remainder is 13 after subtracting 147 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 14:
21 can be fit into 130 6 times, resulting in a remainder of 4.
The next digit of our result is 6. 
Result so far: 12822.76190476
The remainder is 4 after subtracting 126 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 12822.76190476 with a balance of 4e-09.