We look at the division of 77478777 by 689 
Our goal is to divide 77478777 by 689.

Let's proceed to step 1:
When dividing 7 by 689, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
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 / 689

Advancing to step 2:
77 divided by 689 is 0 with a remainder of 77.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 77 leaves us with 77.
Grab the next digit (4) from the dividend, add it to 77, then carry on: 774 / 689

Step 3:
If we divide 774 by 689, we get 1 and a remainder of 85.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 689 from 774 and we're left with 85.
Grab the next digit (7) from the dividend, add it to 85, then carry on: 857 / 689

On to step 4:
689 goes into 857 1 times with a remainder of 168.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we subtract 689 from 857, we get 168.
Grab the next digit (8) from the dividend, add it to 168, then carry on: 1688 / 689

Going ahead to step 5:
The number 689 fits into 1688 2 times, leaving a remainder of 310.
Use 2 as the next digit of our solution. 
Result so far: 112.0
If we take 1378 away from 1688, we end up with 310.
Fetch the next digit (7) from the dividend, attach it to 310 and continue: 3107 / 689

Moving on to step 6:
3107 divided by 689 is 4 with a remainder of 351.
Use 4 as the next digit of our solution. 
Result so far: 1124.0
If we subtract 2756 from 3107, we get 351.
Include the next digit (7) from the dividend after 351, then repeat: 3517 / 689

Advancing to step 7:
If we divide 3517 by 689, we get 5 and a remainder of 72.
The number 5 becomes the next digit in our result. 
Result so far: 11245.0
The remainder is 72 after subtracting 3445 from 3517.
Bring next digit (7) of the dividend behind the 72 and repeat the process: 727 / 689

Let's proceed to step 8:
The number 689 fits into 727 1 times, leaving a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 112451.0
If we take 689 away from 727, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 9:
When dividing 380 by 689, we get 0 with a remainder of 380.
The number 0 becomes the next digit in our result. 
Result so far: 112451.0
Subtract 0 from 380 to get 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3800, and continue the process.

Step 10:
689 can be fit into 3800 5 times, resulting in a remainder of 355.
The number 5 becomes the next digit in our result. 
Result so far: 112451.05
Subtracting 3445 from 3800 leaves us with 355.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3550, and continue the process.

Step 11:
When dividing 3550 by 689, we get 5 with a remainder of 105.
The number 5 becomes the next digit in our result. 
Result so far: 112451.055
Subtract 3445 from 3550 to get 105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1050, and continue the process.

In conclusion, the division gives 112451.055 with a balance of 0.0105.