771277 ÷ 97 
Our goal is to divide 771277 by 97.

Going ahead to step 1:
When dividing 7 by 97, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 97

On to step 2:
97 goes into 77 0 times with a remainder of 77.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 77 after subtracting 0 from 77.
Grab the next digit (1) from the dividend, add it to 77, then carry on: 771 / 97

Advancing to step 3:
771 divided by 97 is 7 with a remainder of 92.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 679 from 771, we get 92.
Include the next digit (2) from the dividend after 92, then repeat: 922 / 97

Let's proceed to step 4:
922 divided by 97 is 9 with a remainder of 49.
Put 9 as the next digit of the answer. 
Result so far: 79.0
Deduct 873 from 922 and we're left with 49.
Take the next digit (7) from the dividend and append it to 49, then repeat: 497 / 97

Step 5:
When dividing 497 by 97, we get 5 with a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 795.0
Subtract 485 from 497 to get 12.
Fetch the next digit (7) from the dividend, attach it to 12 and continue: 127 / 97

Going ahead to step 6:
97 can be fit into 127 1 times, resulting in a remainder of 30.
Record the quotient 1 as the next digit in the result. 
Result so far: 7951.0
The remainder is 30 after subtracting 97 from 127.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 7:
If we divide 300 by 97, we get 3 and a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 7951.3
If we take 291 away from 300, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 8:
If we divide 90 by 97, we get 0 and a remainder of 90.
Put 0 as the next digit of the answer. 
Result so far: 7951.3
The remainder is 90 after subtracting 0 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

On to step 9:
When dividing 900 by 97, we get 9 with a remainder of 27.
Use 9 as the next digit of our solution. 
Result so far: 7951.309
Subtract 873 from 900 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 10:
The number 97 fits into 270 2 times, leaving a remainder of 76.
Write down 2 as next digit of the result. 
Result so far: 7951.3092
Subtracting 194 from 270 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Let's proceed to step 11:
The number 97 fits into 760 7 times, leaving a remainder of 81.
Record the quotient 7 as the next digit in the result. 
Result so far: 7951.30927
If we take 679 away from 760, we end up with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Going ahead to step 12:
If we divide 810 by 97, we get 8 and a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 7951.309278
Subtract 776 from 810 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 13:
97 goes into 340 3 times with a remainder of 49.
Record the quotient 3 as the next digit in the result. 
Result so far: 7951.3092783
Subtract 291 from 340 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 14:
When dividing 490 by 97, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 7951.30927835
If we subtract 485 from 490, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

In conclusion, the division gives 7951.30927835 with a balance of 5e-09.