We're dividing 776177 by 21 
We're looking to find how many times 21 goes into 776177.

Let's proceed to step 1:
21 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 21

On to step 2:
If we divide 77 by 21, we get 3 and a remainder of 14.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 14 after subtracting 63 from 77.
Include the next digit (6) from the dividend after 14, then repeat: 146 / 21

Going ahead to step 3:
21 can be fit into 146 6 times, resulting in a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
Subtracting 126 from 146 leaves us with 20.
Fetch the next digit (1) from the dividend, attach it to 20 and continue: 201 / 21

Step 4:
201 divided by 21 is 9 with a remainder of 12.
The next digit of our result is 9. 
Result so far: 369.0
Subtract 189 from 201 to get 12.
Fetch the next digit (7) from the dividend, attach it to 12 and continue: 127 / 21

Moving on to step 5:
127 divided by 21 is 6 with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 3696.0
Subtracting 126 from 127 leaves us with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 21

On to step 6:
When dividing 17 by 21, we get 0 with a remainder of 17.
The next digit of our result is 0. 
Result so far: 36960.0
The remainder is 17 after subtracting 0 from 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 7:
170 divided by 21 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 36960.8
Subtract 168 from 170 to 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.

Going ahead to step 8:
When dividing 20 by 21, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 36960.8
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
200 divided by 21 is 9 with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 36960.809
If we subtract 189 from 200, we get 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 10:
21 goes into 110 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 36960.8095
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.

Moving on to step 11:
21 can be fit into 50 2 times, resulting in a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 36960.80952
If we subtract 42 from 50, we get 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 12:
If we divide 80 by 21, we get 3 and a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 36960.809523
Subtract 63 from 80 to 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.

Advancing to step 13:
170 divided by 21 is 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 36960.8095238
Subtracting 168 from 170 leaves us 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.

Step 14:
21 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 36960.8095238
Deduct 0 from 20 and we're left 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.

In conclusion, the division gives 36960.8095238 with a balance of 2e-08.