681630 ÷ 21 
We're looking to find how many times 21 goes into 681630.

Step 1:
21 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 21

Step 2:
If we divide 68 by 21, we get 3 and a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 63 from 68 to get 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 21

Let's proceed to step 3:
If we divide 51 by 21, we get 2 and a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 32.0
Subtracting 42 from 51 leaves us with 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 21

On to step 4:
The number 21 fits into 96 4 times, leaving a remainder of 12.
The next digit of our result is 4. 
Result so far: 324.0
Subtracting 84 from 96 leaves us with 12.
Append the next digit (3) from the dividend to 12 and continue with: 123 / 21

Let's proceed to step 5:
When dividing 123 by 21, we get 5 with a remainder of 18.
Record the quotient 5 as the next digit in the result. 
Result so far: 3245.0
Subtract 105 from 123 to get 18.
Take the next digit (0) from the dividend and append it to 18, then repeat: 180 / 21

Moving on to step 6:
21 can be fit into 180 8 times, resulting in a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 32458.0
The remainder is 12 after subtracting 168 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
The number 21 fits into 120 5 times, leaving a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 32458.5
If we take 105 away from 120, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
When dividing 150 by 21, we get 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 32458.57
If we take 147 away from 150, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 9:
30 divided by 21 is 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 32458.571
If we take 21 away from 30, we end up 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.

Advancing to step 10:
When dividing 90 by 21, we get 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 32458.5714
The remainder is 6 after subtracting 84 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 11:
If we divide 60 by 21, we get 2 and a remainder of 18.
The next digit of our result is 2. 
Result so far: 32458.57142
If we take 42 away from 60, we end up 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.

Going ahead to step 12:
When dividing 180 by 21, we get 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 32458.571428
Deduct 168 from 180 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 13:
When dividing 120 by 21, we get 5 with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 32458.5714285
If we subtract 105 from 120, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 14:
The number 21 fits into 150 7 times, leaving a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 32458.57142857
Deduct 147 from 150 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 32458.57142857 with a remainder of 3e-09.