260765 ÷ 21 
We want to figure out the number of times 260765 can be divided by 21.

Step 1:
The number 21 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 21

Going ahead to step 2:
21 goes into 26 1 times with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 5 after subtracting 21 from 26.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 21

Going ahead to step 3:
21 can be fit into 50 2 times, resulting in a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
The remainder is 8 after subtracting 42 from 50.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 21

Step 4:
21 can be fit into 87 4 times, resulting in a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 124.0
Deduct 84 from 87 and we're left with 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 21

Going ahead to step 5:
When dividing 36 by 21, we get 1 with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 1241.0
The remainder is 15 after subtracting 21 from 36.
Bring next digit (5) of the dividend behind the 15 and repeat the process: 155 / 21

Moving on to step 6:
If we divide 155 by 21, we get 7 and a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 12417.0
If we take 147 away from 155, 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 7:
80 divided by 21 is 3 with a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 12417.3
Subtracting 63 from 80 leaves us 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.

Let's proceed to step 8:
170 divided by 21 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 12417.38
If we take 168 away from 170, we end up 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.

Moving on to step 9:
If we divide 20 by 21, we get 0 and a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 12417.38
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.

Going ahead to step 10:
If we divide 200 by 21, we get 9 and a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 12417.3809
The remainder is 11 after subtracting 189 from 200.
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 11:
When dividing 110 by 21, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 12417.38095
If we take 105 away from 110, we end up 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.

Advancing to step 12:
21 goes into 50 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 12417.380952
Deduct 42 from 50 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:
21 goes into 80 3 times with a remainder of 17.
The next digit of our result is 3. 
Result so far: 12417.3809523
If we take 63 away from 80, we end up 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 14:
170 divided by 21 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 12417.38095238
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.

Our division results in 12417.38095238 with a remaining 2e-09.