77758311 ÷ 345 
We want to divide 77758311 by 345.

On to step 1:
When dividing 7 by 345, we get 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.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 345

Moving on to step 2:
If we divide 77 by 345, we get 0 and a remainder of 77.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 77, we get 77.
Append the next digit (7) from the dividend to 77 and continue with: 777 / 345

Moving on to step 3:
The number 345 fits into 777 2 times, leaving a remainder of 87.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 690 from 777 leaves us with 87.
Bring next digit (5) of the dividend behind the 87 and repeat the process: 875 / 345

Step 4:
When dividing 875 by 345, we get 2 with a remainder of 185.
The next digit of our result is 2. 
Result so far: 22.0
The remainder is 185 after subtracting 690 from 875.
Take the next digit (8) from the dividend and append it to 185, then repeat: 1858 / 345

Let's proceed to step 5:
1858 divided by 345 is 5 with a remainder of 133.
Use 5 as the next digit of our solution. 
Result so far: 225.0
Subtract 1725 from 1858 to get 133.
Append the next digit (3) from the dividend to 133 and continue with: 1333 / 345

Going ahead to step 6:
345 can be fit into 1333 3 times, resulting in a remainder of 298.
The next digit of our result is 3. 
Result so far: 2253.0
Subtract 1035 from 1333 to get 298.
Bring next digit (1) of the dividend behind the 298 and repeat the process: 2981 / 345

Step 7:
345 can be fit into 2981 8 times, resulting in a remainder of 221.
Write down 8 as next digit of the result. 
Result so far: 22538.0
Subtract 2760 from 2981 to get 221.
Fetch the next digit (1) from the dividend, attach it to 221 and continue: 2211 / 345

Moving on to step 8:
2211 divided by 345 is 6 with a remainder of 141.
Put 6 as the next digit of the answer. 
Result so far: 225386.0
If we subtract 2070 from 2211, we get 141.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1410, and continue the process.

Let's proceed to step 9:
If we divide 1410 by 345, we get 4 and a remainder of 30.
Write down 4 as next digit of the result. 
Result so far: 225386.4
If we take 1380 away from 1410, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 10:
300 divided by 345 is 0 with a remainder of 300.
Use 0 as the next digit of our solution. 
Result so far: 225386.4
Deduct 0 from 300 and we're left with 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

Let's proceed to step 11:
345 can be fit into 3000 8 times, resulting in a remainder of 240.
The next digit of our result is 8. 
Result so far: 225386.408
If we take 2760 away from 3000, we end up with 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Let's proceed to step 12:
The number 345 fits into 2400 6 times, leaving a remainder of 330.
Use 6 as the next digit of our solution. 
Result so far: 225386.4086
If we take 2070 away from 2400, we end up with 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3300, and continue the process.

Let's proceed to step 13:
When dividing 3300 by 345, we get 9 with a remainder of 195.
Use 9 as the next digit of our solution. 
Result so far: 225386.40869
If we subtract 3105 from 3300, we get 195.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1950, and continue the process.

Step 14:
When dividing 1950 by 345, we get 5 with a remainder of 225.
Use 5 as the next digit of our solution. 
Result so far: 225386.408695
If we subtract 1725 from 1950, we get 225.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2250, and continue the process.

On to step 15:
When dividing 2250 by 345, we get 6 with a remainder of 180.
Record the quotient 6 as the next digit in the result. 
Result so far: 225386.4086956
Subtracting 2070 from 2250 leaves us 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.

Let's proceed to step 16:
345 goes into 1800 5 times with a remainder of 75.
The number 5 becomes the next digit in our result. 
Result so far: 225386.40869565
Subtract 1725 from 1800 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

In conclusion, the division gives 225386.40869565 with a balance of 7.5e-08.