We look at the division of 258669 by 11 
We want to figure out the number of times 258669 can be divided by 11.

Moving on to step 1:
The number 11 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 11

On to step 2:
11 goes into 25 2 times with a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 3 after subtracting 22 from 25.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 11

Step 3:
When dividing 38 by 11, we get 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 23.0
Subtract 33 from 38 to get 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 11

Advancing to step 4:
When dividing 56 by 11, we get 5 with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 235.0
Subtract 55 from 56 to get 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 11

Moving on to step 5:
The number 11 fits into 16 1 times, leaving a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 2351.0
Deduct 11 from 16 and we're left with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 11

Advancing to step 6:
The number 11 fits into 59 5 times, leaving a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 23515.0
Deduct 55 from 59 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
11 goes into 40 3 times with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 23515.3
The remainder is 7 after subtracting 33 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 8:
70 divided by 11 is 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 23515.36
Deduct 66 from 70 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
When dividing 40 by 11, we get 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 23515.363
Deduct 33 from 40 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 10:
70 divided by 11 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 23515.3636
Subtract 66 from 70 to 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.

Step 11:
When dividing 40 by 11, we get 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 23515.36363
Subtract 33 from 40 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 12:
When dividing 70 by 11, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 23515.363636
If we take 66 away from 70, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 13:
If we divide 40 by 11, we get 3 and a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 23515.3636363
The remainder is 7 after subtracting 33 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 14:
If we divide 70 by 11, we get 6 and a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 23515.36363636
Subtracting 66 from 70 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 23515.36363636 with a remaining 4e-09.