77569103 ÷ 791 
Our goal is to divide 77569103 by 791.

Moving on to step 1:
When dividing 7 by 791, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 791

On to step 2:
77 divided by 791 is 0 with a remainder of 77.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 77 and we're left with 77.
Bring next digit (5) of the dividend behind the 77 and repeat the process: 775 / 791

Let's proceed to step 3:
791 can be fit into 775 0 times, resulting in a remainder of 775.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 775 to get 775.
Take the next digit (6) from the dividend and append it to 775, then repeat: 7756 / 791

Let's proceed to step 4:
791 can be fit into 7756 9 times, resulting in a remainder of 637.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we subtract 7119 from 7756, we get 637.
Bring next digit (9) of the dividend behind the 637 and repeat the process: 6379 / 791

Moving on to step 5:
6379 divided by 791 is 8 with a remainder of 51.
Use 8 as the next digit of our solution. 
Result so far: 98.0
The remainder is 51 after subtracting 6328 from 6379.
Include the next digit (1) from the dividend after 51, then repeat: 511 / 791

Let's proceed to step 6:
The number 791 fits into 511 0 times, leaving a remainder of 511.
Record the quotient 0 as the next digit in the result. 
Result so far: 980.0
Subtracting 0 from 511 leaves us with 511.
Grab the next digit (0) from the dividend, add it to 511, then carry on: 5110 / 791

Step 7:
791 goes into 5110 6 times with a remainder of 364.
The next digit of our result is 6. 
Result so far: 9806.0
The remainder is 364 after subtracting 4746 from 5110.
Take the next digit (3) from the dividend and append it to 364, then repeat: 3643 / 791

On to step 8:
3643 divided by 791 is 4 with a remainder of 479.
Put 4 as the next digit of the answer. 
Result so far: 98064.0
Deduct 3164 from 3643 and we're left with 479.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4790, and continue the process.

Moving on to step 9:
The number 791 fits into 4790 6 times, leaving a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 98064.6
Subtracting 4746 from 4790 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 10:
When dividing 440 by 791, we get 0 with a remainder of 440.
Record the quotient 0 as the next digit in the result. 
Result so far: 98064.6
Subtract 0 from 440 to get 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4400, and continue the process.

Step 11:
4400 divided by 791 is 5 with a remainder of 445.
Use 5 as the next digit of our solution. 
Result so far: 98064.605
Deduct 3955 from 4400 and we're left with 445.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4450, and continue the process.

On to step 12:
If we divide 4450 by 791, we get 5 and a remainder of 495.
Record the quotient 5 as the next digit in the result. 
Result so far: 98064.6055
The remainder is 495 after subtracting 3955 from 4450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4950, and continue the process.

In conclusion, the division gives 98064.6055 with a balance of 0.00495.