76800077 divided by 971 
Our goal is to divide 76800077 by 971.

Going ahead to step 1:
971 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 971

On to step 2:
When dividing 76 by 971, we get 0 with a remainder of 76.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 76 leaves us with 76.
Grab the next digit (8) from the dividend, add it to 76, then carry on: 768 / 971

Let's proceed to step 3:
When dividing 768 by 971, we get 0 with a remainder of 768.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 768 to get 768.
Fetch the next digit (0) from the dividend, attach it to 768 and continue: 7680 / 971

Step 4:
The number 971 fits into 7680 7 times, leaving a remainder of 883.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 6797 from 7680 leaves us with 883.
Fetch the next digit (0) from the dividend, attach it to 883 and continue: 8830 / 971

Moving on to step 5:
8830 divided by 971 is 9 with a remainder of 91.
Record the quotient 9 as the next digit in the result. 
Result so far: 79.0
If we subtract 8739 from 8830, we get 91.
Take the next digit (0) from the dividend and append it to 91, then repeat: 910 / 971

Moving on to step 6:
971 goes into 910 0 times with a remainder of 910.
The next digit of our result is 0. 
Result so far: 790.0
The remainder is 910 after subtracting 0 from 910.
Include the next digit (7) from the dividend after 910, then repeat: 9107 / 971

Advancing to step 7:
When dividing 9107 by 971, we get 9 with a remainder of 368.
The next digit of our result is 9. 
Result so far: 7909.0
The remainder is 368 after subtracting 8739 from 9107.
Fetch the next digit (7) from the dividend, attach it to 368 and continue: 3687 / 971

On to step 8:
If we divide 3687 by 971, we get 3 and a remainder of 774.
The number 3 becomes the next digit in our result. 
Result so far: 79093.0
The remainder is 774 after subtracting 2913 from 3687.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7740, and continue the process.

Going ahead to step 9:
If we divide 7740 by 971, we get 7 and a remainder of 943.
Record the quotient 7 as the next digit in the result. 
Result so far: 79093.7
Subtract 6797 from 7740 to get 943.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9430, and continue the process.

On to step 10:
When dividing 9430 by 971, we get 9 with a remainder of 691.
The number 9 becomes the next digit in our result. 
Result so far: 79093.79
The remainder is 691 after subtracting 8739 from 9430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6910, and continue the process.

Moving on to step 11:
971 goes into 6910 7 times with a remainder of 113.
Write down 7 as next digit of the result. 
Result so far: 79093.797
Subtracting 6797 from 6910 leaves us with 113.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1130, and continue the process.

Step 12:
If we divide 1130 by 971, we get 1 and a remainder of 159.
The number 1 becomes the next digit in our result. 
Result so far: 79093.7971
The remainder is 159 after subtracting 971 from 1130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1590, and continue the process.

Step 13:
1590 divided by 971 is 1 with a remainder of 619.
The next digit of our result is 1. 
Result so far: 79093.79711
If we take 971 away from 1590, we end up with 619.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6190, and continue the process.

In conclusion, the division gives 79093.79711 with a balance of 0.000619.