186635 ÷ 21 
We want to figure out the number of times 186635 can be divided by 21.

Let's proceed to step 1:
If we divide 1 by 21, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 21

Advancing to step 2:
When dividing 18 by 21, we get 0 with a remainder of 18.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 18 after subtracting 0 from 18.
Take the next digit (6) from the dividend and append it to 18, then repeat: 186 / 21

Advancing to step 3:
The number 21 fits into 186 8 times, leaving a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 168 away from 186, we end up with 18.
Fetch the next digit (6) from the dividend, attach it to 18 and continue: 186 / 21

Moving on to step 4:
If we divide 186 by 21, we get 8 and a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 88.0
Subtract 168 from 186 to get 18.
Append the next digit (3) from the dividend to 18 and continue with: 183 / 21

Let's proceed to step 5:
21 goes into 183 8 times with a remainder of 15.
The number 8 becomes the next digit in our result. 
Result so far: 888.0
Subtracting 168 from 183 leaves us with 15.
Bring next digit (5) of the dividend behind the 15 and repeat the process: 155 / 21

Moving on to step 6:
21 goes into 155 7 times with a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 8887.0
The remainder is 8 after subtracting 147 from 155.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
If we divide 80 by 21, we get 3 and a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 8887.3
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.

Step 8:
The number 21 fits into 170 8 times, leaving a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 8887.38
If we subtract 168 from 170, 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.

Let's proceed to step 9:
The number 21 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 8887.38
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.

Step 10:
200 divided by 21 is 9 with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 8887.3809
Deduct 189 from 200 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 11:
21 can be fit into 110 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 8887.38095
Subtracting 105 from 110 leaves us 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.

Step 12:
50 divided by 21 is 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 8887.380952
If we take 42 away from 50, 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.

Moving on 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: 8887.3809523
If we subtract 63 from 80, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 14:
170 divided by 21 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 8887.38095238
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.

The final outcome is 8887.38095238, with a leftover of 2e-09.