We're dividing 766842 by 21 
We're looking to find how many times 21 goes into 766842.

Moving on to step 1:
21 can be fit into 7 0 times, resulting in a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 21

On to step 2:
If we divide 76 by 21, we get 3 and a remainder of 13.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 63 from 76 and we're left with 13.
Fetch the next digit (6) from the dividend, attach it to 13 and continue: 136 / 21

Let's proceed to step 3:
When dividing 136 by 21, we get 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 36.0
If we subtract 126 from 136, we get 10.
Append the next digit (8) from the dividend to 10 and continue with: 108 / 21

On to step 4:
108 divided by 21 is 5 with a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 365.0
Subtract 105 from 108 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 21

Let's proceed to step 5:
If we divide 34 by 21, we get 1 and a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 3651.0
Subtracting 21 from 34 leaves us with 13.
Append the next digit (2) from the dividend to 13 and continue with: 132 / 21

Let's proceed to step 6:
If we divide 132 by 21, we get 6 and a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 36516.0
Subtracting 126 from 132 leaves us with 6.
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 7:
When dividing 60 by 21, we get 2 with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 36516.2
Deduct 42 from 60 and we're left 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 8:
The number 21 fits into 180 8 times, leaving a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 36516.28
Subtracting 168 from 180 leaves us 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.

Step 9:
21 can be fit into 120 5 times, resulting in a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 36516.285
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.

Let's proceed to step 10:
150 divided by 21 is 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 36516.2857
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.

Going ahead to step 11:
When dividing 30 by 21, we get 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 36516.28571
If we subtract 21 from 30, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 12:
90 divided by 21 is 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 36516.285714
If we take 84 away from 90, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 13:
21 can be fit into 60 2 times, resulting in a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 36516.2857142
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.

Moving on to step 14:
The number 21 fits into 180 8 times, leaving a remainder of 12.
The next digit of our result is 8. 
Result so far: 36516.28571428
Subtract 168 from 180 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 36516.28571428 with a remainder of 1.2e-08.