186634 ÷ 21 
We're looking to find how many times 21 goes into 186634.

Going ahead to step 1:
The number 21 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 21

Going ahead to step 2:
The number 21 fits into 18 0 times, leaving a remainder of 18.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 18 after subtracting 0 from 18.
Append the next digit (6) from the dividend to 18 and continue with: 186 / 21

Going ahead to step 3:
21 can be fit into 186 8 times, resulting in a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we take 168 away from 186, we end up with 18.
Include the next digit (6) from the dividend after 18, then repeat: 186 / 21

Step 4:
21 goes into 186 8 times with a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 88.0
Deduct 168 from 186 and we're left with 18.
Take the next digit (3) from the dividend and append it to 18, then repeat: 183 / 21

Going ahead to step 5:
21 goes into 183 8 times with a remainder of 15.
Put 8 as the next digit of the answer. 
Result so far: 888.0
The remainder is 15 after subtracting 168 from 183.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 21

Let's proceed to step 6:
The number 21 fits into 154 7 times, leaving a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 8887.0
Deduct 147 from 154 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.

Going ahead to step 7:
21 goes into 70 3 times with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 8887.3
Deduct 63 from 70 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.

On to step 8:
If we divide 70 by 21, we get 3 and a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 8887.33
Deduct 63 from 70 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.

The final outcome is 8887.33, with a leftover of 0.007.