21291261 divided by 11 
We want to figure out the number of times 21291261 can be divided by 11.

Let's proceed to step 1:
2 divided by 11 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 11

On to step 2:
When dividing 21 by 11, we get 1 with a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 11 from 21 to get 10.
Bring next digit (2) of the dividend behind the 10 and repeat the process: 102 / 11

Moving on to step 3:
If we divide 102 by 11, we get 9 and a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 19.0
Deduct 99 from 102 and we're left with 3.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 11

Going ahead to step 4:
11 can be fit into 39 3 times, resulting in a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 193.0
If we take 33 away from 39, we end up with 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 11

Let's proceed to step 5:
11 can be fit into 61 5 times, resulting in a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 1935.0
If we subtract 55 from 61, we get 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 11

Moving on to step 6:
If we divide 62 by 11, we get 5 and a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 19355.0
Subtracting 55 from 62 leaves us with 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 11

Step 7:
If we divide 76 by 11, we get 6 and a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 193556.0
If we take 66 away from 76, we end up with 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 11

On to step 8:
If we divide 101 by 11, we get 9 and a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 1935569.0
If we take 99 away from 101, 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.

Advancing to step 9:
20 divided by 11 is 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1935569.1
Subtracting 11 from 20 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.

Let's proceed to step 10:
11 can be fit into 90 8 times, resulting in a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 1935569.18
If we take 88 away from 90, 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 11:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1935569.181
Subtract 11 from 20 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 12:
11 goes into 90 8 times with a remainder of 2.
The next digit of our result is 8. 
Result so far: 1935569.1818
Subtracting 88 from 90 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.

On to step 13:
11 goes into 20 1 times with a remainder of 9.
The next digit of our result is 1. 
Result so far: 1935569.18181
The remainder is 9 after subtracting 11 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 14:
11 can be fit into 90 8 times, resulting in a remainder of 2.
The next digit of our result is 8. 
Result so far: 1935569.181818
Subtracting 88 from 90 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.

On to step 15:
20 divided by 11 is 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 1935569.1818181
If we subtract 11 from 20, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 16:
If we divide 90 by 11, we get 8 and a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 1935569.18181818
If we subtract 88 from 90, 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.

Our division results in 1935569.18181818 with a remaining 2e-09.