We're dividing 776687 by 21 
We're looking to find how many times 21 goes into 776687.

Let's proceed to step 1:
7 divided by 21 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 21

On to step 2:
When dividing 77 by 21, we get 3 with a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 63 from 77, we get 14.
Take the next digit (6) from the dividend and append it to 14, then repeat: 146 / 21

Step 3:
If we divide 146 by 21, we get 6 and a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 36.0
Deduct 126 from 146 and we're left with 20.
Bring next digit (6) of the dividend behind the 20 and repeat the process: 206 / 21

Step 4:
21 goes into 206 9 times with a remainder of 17.
The number 9 becomes the next digit in our result. 
Result so far: 369.0
If we subtract 189 from 206, we get 17.
Append the next digit (8) from the dividend to 17 and continue with: 178 / 21

Moving on to step 5:
The number 21 fits into 178 8 times, leaving a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 3698.0
The remainder is 10 after subtracting 168 from 178.
Include the next digit (7) from the dividend after 10, then repeat: 107 / 21

Moving on to step 6:
21 goes into 107 5 times with a remainder of 2.
The next digit of our result is 5. 
Result so far: 36985.0
The remainder is 2 after subtracting 105 from 107.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
20 divided by 21 is 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 36985.0
Subtracting 0 from 20 leaves us with 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 8:
21 goes into 200 9 times with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 36985.09
The remainder is 11 after subtracting 189 from 200.
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 9:
21 goes into 110 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 36985.095
Deduct 105 from 110 and we're left 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.

Going ahead to step 10:
When dividing 50 by 21, we get 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 36985.0952
Deduct 42 from 50 and we're left 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.

Step 11:
80 divided by 21 is 3 with a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 36985.09523
Deduct 63 from 80 and we're left 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 12:
170 divided by 21 is 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 36985.095238
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.

Moving on to step 13:
When dividing 20 by 21, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 36985.095238
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.

Advancing to step 14:
When dividing 200 by 21, we get 9 with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 36985.09523809
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.

In conclusion, the division gives 36985.09523809 with a balance of 1.1e-08.