77814296 ÷ 580 
Our goal is to divide 77814296 by 580.

Let's proceed to step 1:
If we divide 7 by 580, we get 0 and a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 580

Moving on to step 2:
If we divide 77 by 580, we get 0 and a remainder of 77.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 77, we get 77.
Take the next digit (8) from the dividend and append it to 77, then repeat: 778 / 580

Moving on to step 3:
When dividing 778 by 580, we get 1 with a remainder of 198.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 198 after subtracting 580 from 778.
Take the next digit (1) from the dividend and append it to 198, then repeat: 1981 / 580

Moving on to step 4:
580 goes into 1981 3 times with a remainder of 241.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtract 1740 from 1981 to get 241.
Grab the next digit (4) from the dividend, add it to 241, then carry on: 2414 / 580

Moving on to step 5:
The number 580 fits into 2414 4 times, leaving a remainder of 94.
Put 4 as the next digit of the answer. 
Result so far: 134.0
Deduct 2320 from 2414 and we're left with 94.
Include the next digit (2) from the dividend after 94, then repeat: 942 / 580

Moving on to step 6:
942 divided by 580 is 1 with a remainder of 362.
Record the quotient 1 as the next digit in the result. 
Result so far: 1341.0
Subtract 580 from 942 to get 362.
Include the next digit (9) from the dividend after 362, then repeat: 3629 / 580

Step 7:
3629 divided by 580 is 6 with a remainder of 149.
The next digit of our result is 6. 
Result so far: 13416.0
Subtracting 3480 from 3629 leaves us with 149.
Bring next digit (6) of the dividend behind the 149 and repeat the process: 1496 / 580

On to step 8:
1496 divided by 580 is 2 with a remainder of 336.
Record the quotient 2 as the next digit in the result. 
Result so far: 134162.0
If we subtract 1160 from 1496, we get 336.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3360, and continue the process.

Step 9:
580 goes into 3360 5 times with a remainder of 460.
The number 5 becomes the next digit in our result. 
Result so far: 134162.5
The remainder is 460 after subtracting 2900 from 3360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4600, and continue the process.

Moving on to step 10:
When dividing 4600 by 580, we get 7 with a remainder of 540.
The number 7 becomes the next digit in our result. 
Result so far: 134162.57
The remainder is 540 after subtracting 4060 from 4600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5400, and continue the process.

Advancing to step 11:
580 can be fit into 5400 9 times, resulting in a remainder of 180.
The number 9 becomes the next digit in our result. 
Result so far: 134162.579
Deduct 5220 from 5400 and we're left with 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

On to step 12:
1800 divided by 580 is 3 with a remainder of 60.
Use 3 as the next digit of our solution. 
Result so far: 134162.5793
Deduct 1740 from 1800 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 13:
The number 580 fits into 600 1 times, leaving a remainder of 20.
Write down 1 as next digit of the result. 
Result so far: 134162.57931
If we take 580 away from 600, we end up 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.

On to step 14:
580 can be fit into 200 0 times, resulting in a remainder of 200.
Record the quotient 0 as the next digit in the result. 
Result so far: 134162.57931
Subtract 0 from 200 to get 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Moving on to step 15:
When dividing 2000 by 580, we get 3 with a remainder of 260.
Use 3 as the next digit of our solution. 
Result so far: 134162.5793103
Deduct 1740 from 2000 and we're left with 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

Advancing to step 16:
580 can be fit into 2600 4 times, resulting in a remainder of 280.
Use 4 as the next digit of our solution. 
Result so far: 134162.57931034
Deduct 2320 from 2600 and we're left with 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

In conclusion, the division gives 134162.57931034 with a balance of 2.8e-07.