770988 ÷ 77 
We want to divide 770988 by 77.

Advancing to step 1:
If we divide 7 by 77, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 77

Advancing to step 2:
If we divide 77 by 77, we get 1 and a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 77 from 77, we get 0.
Include the next digit (0) from the dividend after 0, then repeat: 0 / 77

Step 3:
77 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 10.0
If we subtract 0 from 0, we get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 77

Step 4:
If we divide 9 by 77, we get 0 and a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 100.0
Deduct 0 from 9 and we're left with 9.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 77

On to step 5:
77 can be fit into 98 1 times, resulting in a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 1001.0
If we subtract 77 from 98, we get 21.
Grab the next digit (8) from the dividend, add it to 21, then carry on: 218 / 77

Let's proceed to step 6:
77 goes into 218 2 times with a remainder of 64.
Record the quotient 2 as the next digit in the result. 
Result so far: 10012.0
If we subtract 154 from 218, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 7:
The number 77 fits into 640 8 times, leaving a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 10012.8
Subtract 616 from 640 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 8:
240 divided by 77 is 3 with a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 10012.83
Subtract 231 from 240 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 9:
90 divided by 77 is 1 with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 10012.831
Deduct 77 from 90 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 10:
When dividing 130 by 77, we get 1 with a remainder of 53.
The number 1 becomes the next digit in our result. 
Result so far: 10012.8311
If we take 77 away from 130, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

In conclusion, the division gives 10012.8311 with a balance of 0.00053.