21589666 divided by 105 
We want to figure out the number of times 21589666 can be divided by 105.

Step 1:
105 can be fit into 2 0 times, resulting in a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 105

Going ahead to step 2:
105 goes into 21 0 times with a remainder of 21.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Take the next digit (5) from the dividend and append it to 21, then repeat: 215 / 105

Going ahead to step 3:
When dividing 215 by 105, we get 2 with a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 5 after subtracting 210 from 215.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 105

Moving on to step 4:
58 divided by 105 is 0 with a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 20.0
Subtracting 0 from 58 leaves us with 58.
Include the next digit (9) from the dividend after 58, then repeat: 589 / 105

On to step 5:
105 can be fit into 589 5 times, resulting in a remainder of 64.
The next digit of our result is 5. 
Result so far: 205.0
Subtract 525 from 589 to get 64.
Grab the next digit (6) from the dividend, add it to 64, then carry on: 646 / 105

Let's proceed to step 6:
646 divided by 105 is 6 with a remainder of 16.
The next digit of our result is 6. 
Result so far: 2056.0
If we take 630 away from 646, we end up with 16.
Include the next digit (6) from the dividend after 16, then repeat: 166 / 105

Let's proceed to step 7:
If we divide 166 by 105, we get 1 and a remainder of 61.
Use 1 as the next digit of our solution. 
Result so far: 20561.0
Deduct 105 from 166 and we're left with 61.
Fetch the next digit (6) from the dividend, attach it to 61 and continue: 616 / 105

Let's proceed to step 8:
105 goes into 616 5 times with a remainder of 91.
Write down 5 as next digit of the result. 
Result so far: 205615.0
If we subtract 525 from 616, we get 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

On to step 9:
105 can be fit into 910 8 times, resulting in a remainder of 70.
Record the quotient 8 as the next digit in the result. 
Result so far: 205615.8
Subtract 840 from 910 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 10:
When dividing 700 by 105, we get 6 with a remainder of 70.
Record the quotient 6 as the next digit in the result. 
Result so far: 205615.86
Deduct 630 from 700 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 11:
105 can be fit into 700 6 times, resulting in a remainder of 70.
Record the quotient 6 as the next digit in the result. 
Result so far: 205615.866
If we take 630 away from 700, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Our division results in 205615.866 with a remaining 0.007.