21659 divided by 19 
We're looking to find how many times 19 goes into 21659.

Step 1:
The number 19 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 19

Advancing to step 2:
The number 19 fits into 21 1 times, leaving a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 2 after subtracting 19 from 21.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 19

Going ahead to step 3:
When dividing 26 by 19, we get 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtracting 19 from 26 leaves us with 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 19

Moving on to step 4:
The number 19 fits into 75 3 times, leaving a remainder of 18.
Record the quotient 3 as the next digit in the result. 
Result so far: 113.0
The remainder is 18 after subtracting 57 from 75.
Fetch the next digit (9) from the dividend, attach it to 18 and continue: 189 / 19

Advancing to step 5:
If we divide 189 by 19, we get 9 and a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 1139.0
Subtracting 171 from 189 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 6:
19 goes into 180 9 times with a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 1139.9
Deduct 171 from 180 and we're left 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.

On to step 7:
19 goes into 90 4 times with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 1139.94
Subtracting 76 from 90 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 8:
19 can be fit into 140 7 times, resulting in a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 1139.947
If we take 133 away from 140, we end up 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.

Going ahead to step 9:
When dividing 70 by 19, we get 3 with a remainder of 13.
The next digit of our result is 3. 
Result so far: 1139.9473
If we subtract 57 from 70, we get 13.
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 10:
130 divided by 19 is 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 1139.94736
If we take 114 away from 130, we end up 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 11:
160 divided by 19 is 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 1139.947368
The remainder is 8 after subtracting 152 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 12:
19 can be fit into 80 4 times, resulting in a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 1139.9473684
Deduct 76 from 80 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 13:
19 goes into 40 2 times with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 1139.94736842
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 1139.94736842 and a remainder of 2e-09.