We're dividing 77421121 by 768 
Our goal is to divide 77421121 by 768.

Let's proceed to step 1:
The number 768 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 768

Step 2:
77 divided by 768 is 0 with a remainder of 77.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 77, we get 77.
Append the next digit (4) from the dividend to 77 and continue with: 774 / 768

On to step 3:
The number 768 fits into 774 1 times, leaving a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 6 after subtracting 768 from 774.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 768

Moving on to step 4:
768 goes into 62 0 times with a remainder of 62.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 62, we get 62.
Bring next digit (1) of the dividend behind the 62 and repeat the process: 621 / 768

Advancing to step 5:
768 goes into 621 0 times with a remainder of 621.
The number 0 becomes the next digit in our result. 
Result so far: 100.0
Deduct 0 from 621 and we're left with 621.
Include the next digit (1) from the dividend after 621, then repeat: 6211 / 768

On to step 6:
768 goes into 6211 8 times with a remainder of 67.
Put 8 as the next digit of the answer. 
Result so far: 1008.0
Subtracting 6144 from 6211 leaves us with 67.
Fetch the next digit (2) from the dividend, attach it to 67 and continue: 672 / 768

On to step 7:
768 goes into 672 0 times with a remainder of 672.
Write down 0 as next digit of the result. 
Result so far: 10080.0
Subtracting 0 from 672 leaves us with 672.
Append the next digit (1) from the dividend to 672 and continue with: 6721 / 768

Advancing to step 8:
6721 divided by 768 is 8 with a remainder of 577.
The number 8 becomes the next digit in our result. 
Result so far: 100808.0
If we subtract 6144 from 6721, we get 577.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5770, and continue the process.

Advancing to step 9:
768 goes into 5770 7 times with a remainder of 394.
Record the quotient 7 as the next digit in the result. 
Result so far: 100808.7
Subtract 5376 from 5770 to get 394.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3940, and continue the process.

Step 10:
768 can be fit into 3940 5 times, resulting in a remainder of 100.
Record the quotient 5 as the next digit in the result. 
Result so far: 100808.75
If we subtract 3840 from 3940, we get 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Advancing to step 11:
768 can be fit into 1000 1 times, resulting in a remainder of 232.
The number 1 becomes the next digit in our result. 
Result so far: 100808.751
If we take 768 away from 1000, we end up with 232.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2320, and continue the process.

Moving on to step 12:
2320 divided by 768 is 3 with a remainder of 16.
Use 3 as the next digit of our solution. 
Result so far: 100808.7513
If we take 2304 away from 2320, we end up 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.

On to step 13:
768 goes into 160 0 times with a remainder of 160.
The next digit of our result is 0. 
Result so far: 100808.7513
Subtracting 0 from 160 leaves us with 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Advancing to step 14:
The number 768 fits into 1600 2 times, leaving a remainder of 64.
Record the quotient 2 as the next digit in the result. 
Result so far: 100808.751302
Subtract 1536 from 1600 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 15:
When dividing 640 by 768, we get 0 with a remainder of 640.
The number 0 becomes the next digit in our result. 
Result so far: 100808.751302
If we subtract 0 from 640, we get 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6400, and continue the process.

Advancing to step 16:
If we divide 6400 by 768, we get 8 and a remainder of 256.
Use 8 as the next digit of our solution. 
Result so far: 100808.75130208
If we subtract 6144 from 6400, we get 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

In conclusion, the division gives 100808.75130208 with a balance of 2.56e-07.