We look at the division of 176767 by 21 
We're looking to find how many times 21 goes into 176767.

Going ahead to step 1:
21 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 21

Moving on to step 2:
If we divide 17 by 21, we get 0 and a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Append the next digit (6) from the dividend to 17 and continue with: 176 / 21

Advancing to step 3:
21 can be fit into 176 8 times, resulting in a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 8.0
The remainder is 8 after subtracting 168 from 176.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 21

On to step 4:
If we divide 87 by 21, we get 4 and a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 84.0
Deduct 84 from 87 and we're left with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 21

Let's proceed to step 5:
If we divide 36 by 21, we get 1 and a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 841.0
If we subtract 21 from 36, we get 15.
Fetch the next digit (7) from the dividend, attach it to 15 and continue: 157 / 21

Moving on to step 6:
If we divide 157 by 21, we get 7 and a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 8417.0
Deduct 147 from 157 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
When dividing 100 by 21, we get 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 8417.4
Subtracting 84 from 100 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 8:
21 can be fit into 160 7 times, resulting in a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 8417.47
The remainder is 13 after subtracting 147 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 9:
The number 21 fits into 130 6 times, leaving a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 8417.476
Subtract 126 from 130 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
40 divided by 21 is 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 8417.4761
The remainder is 19 after subtracting 21 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 11:
21 can be fit into 190 9 times, resulting in a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 8417.47619
Deduct 189 from 190 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 12:
When dividing 10 by 21, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 8417.47619
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
When dividing 100 by 21, we get 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 8417.4761904
Subtract 84 from 100 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 14:
When dividing 160 by 21, we get 7 with a remainder of 13.
The next digit of our result is 7. 
Result so far: 8417.47619047
Deduct 147 from 160 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final result is 8417.47619047 with a remainder of 1.3e-08.