We're dividing 7769563 by 769 
Our goal is to divide 7769563 by 769.

Step 1:
The number 769 fits into 7 0 times, leaving 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.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 769

On to step 2:
If we divide 77 by 769, we get 0 and a remainder of 77.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 77, we end up with 77.
Fetch the next digit (6) from the dividend, attach it to 77 and continue: 776 / 769

Moving on to step 3:
When dividing 776 by 769, we get 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 769 from 776 leaves us with 7.
Append the next digit (9) from the dividend to 7 and continue with: 79 / 769

Moving on to step 4:
If we divide 79 by 769, we get 0 and a remainder of 79.
The next digit of our result is 0. 
Result so far: 10.0
Subtract 0 from 79 to get 79.
Include the next digit (5) from the dividend after 79, then repeat: 795 / 769

Let's proceed to step 5:
795 divided by 769 is 1 with a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 101.0
Subtracting 769 from 795 leaves us with 26.
Bring next digit (6) of the dividend behind the 26 and repeat the process: 266 / 769

Step 6:
769 can be fit into 266 0 times, resulting in a remainder of 266.
Write down 0 as next digit of the result. 
Result so far: 1010.0
If we subtract 0 from 266, we get 266.
Include the next digit (3) from the dividend after 266, then repeat: 2663 / 769

Going ahead to step 7:
2663 divided by 769 is 3 with a remainder of 356.
Write down 3 as next digit of the result. 
Result so far: 10103.0
If we take 2307 away from 2663, we end up with 356.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3560, and continue the process.

Let's proceed to step 8:
If we divide 3560 by 769, we get 4 and a remainder of 484.
The next digit of our result is 4. 
Result so far: 10103.4
If we subtract 3076 from 3560, we get 484.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4840, and continue the process.

Step 9:
4840 divided by 769 is 6 with a remainder of 226.
The number 6 becomes the next digit in our result. 
Result so far: 10103.46
Subtract 4614 from 4840 to get 226.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2260, and continue the process.

Moving on to step 10:
The number 769 fits into 2260 2 times, leaving a remainder of 722.
Use 2 as the next digit of our solution. 
Result so far: 10103.462
Deduct 1538 from 2260 and we're left with 722.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7220, and continue the process.

On to step 11:
769 can be fit into 7220 9 times, resulting in a remainder of 299.
Record the quotient 9 as the next digit in the result. 
Result so far: 10103.4629
If we take 6921 away from 7220, we end up with 299.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2990, and continue the process.

Step 12:
769 can be fit into 2990 3 times, resulting in a remainder of 683.
Write down 3 as next digit of the result. 
Result so far: 10103.46293
Subtract 2307 from 2990 to get 683.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6830, and continue the process.

Going ahead to step 13:
The number 769 fits into 6830 8 times, leaving a remainder of 678.
Put 8 as the next digit of the answer. 
Result so far: 10103.462938
Subtract 6152 from 6830 to get 678.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6780, and continue the process.

On to step 14:
If we divide 6780 by 769, we get 8 and a remainder of 628.
The number 8 becomes the next digit in our result. 
Result so far: 10103.4629388
If we subtract 6152 from 6780, we get 628.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6280, and continue the process.

In conclusion, the division gives 10103.4629388 with a balance of 6.28e-06.