76814376 divided by 721 
Our goal is to divide 76814376 by 721.

Moving on to step 1:
7 divided by 721 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.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 721

Step 2:
The number 721 fits into 76 0 times, leaving a remainder of 76.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 76 and we're left with 76.
Append the next digit (8) from the dividend to 76 and continue with: 768 / 721

Advancing to step 3:
When dividing 768 by 721, we get 1 with a remainder of 47.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 721 from 768 leaves us with 47.
Bring next digit (1) of the dividend behind the 47 and repeat the process: 471 / 721

Moving on to step 4:
471 divided by 721 is 0 with a remainder of 471.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 471, we get 471.
Take the next digit (4) from the dividend and append it to 471, then repeat: 4714 / 721

Step 5:
If we divide 4714 by 721, we get 6 and a remainder of 388.
The number 6 becomes the next digit in our result. 
Result so far: 106.0
Deduct 4326 from 4714 and we're left with 388.
Grab the next digit (3) from the dividend, add it to 388, then carry on: 3883 / 721

Advancing to step 6:
721 goes into 3883 5 times with a remainder of 278.
The next digit of our result is 5. 
Result so far: 1065.0
If we take 3605 away from 3883, we end up with 278.
Append the next digit (7) from the dividend to 278 and continue with: 2787 / 721

Going ahead to step 7:
If we divide 2787 by 721, we get 3 and a remainder of 624.
Use 3 as the next digit of our solution. 
Result so far: 10653.0
Subtract 2163 from 2787 to get 624.
Fetch the next digit (6) from the dividend, attach it to 624 and continue: 6246 / 721

Step 8:
721 can be fit into 6246 8 times, resulting in a remainder of 478.
Put 8 as the next digit of the answer. 
Result so far: 106538.0
Deduct 5768 from 6246 and we're left with 478.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4780, and continue the process.

Let's proceed to step 9:
4780 divided by 721 is 6 with a remainder of 454.
Record the quotient 6 as the next digit in the result. 
Result so far: 106538.6
Subtracting 4326 from 4780 leaves us with 454.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4540, and continue the process.

Going ahead to step 10:
When dividing 4540 by 721, we get 6 with a remainder of 214.
Use 6 as the next digit of our solution. 
Result so far: 106538.66
The remainder is 214 after subtracting 4326 from 4540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

In conclusion, the division gives 106538.66 with a balance of 0.214.