We're dividing 7166108 by 768 
Our goal is to divide 7166108 by 768.

Going ahead to step 1:
7 divided by 768 is 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 768

Let's proceed to step 2:
71 divided by 768 is 0 with a remainder of 71.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 71 and we're left with 71.
Include the next digit (6) from the dividend after 71, then repeat: 716 / 768

Let's proceed to step 3:
When dividing 716 by 768, we get 0 with a remainder of 716.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 716 and we're left with 716.
Append the next digit (6) from the dividend to 716 and continue with: 7166 / 768

Moving on to step 4:
768 can be fit into 7166 9 times, resulting in a remainder of 254.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 254 after subtracting 6912 from 7166.
Include the next digit (1) from the dividend after 254, then repeat: 2541 / 768

On to step 5:
If we divide 2541 by 768, we get 3 and a remainder of 237.
Put 3 as the next digit of the answer. 
Result so far: 93.0
If we subtract 2304 from 2541, we get 237.
Take the next digit (0) from the dividend and append it to 237, then repeat: 2370 / 768

Step 6:
If we divide 2370 by 768, we get 3 and a remainder of 66.
Write down 3 as next digit of the result. 
Result so far: 933.0
If we take 2304 away from 2370, we end up with 66.
Bring next digit (8) of the dividend behind the 66 and repeat the process: 668 / 768

On to step 7:
768 can be fit into 668 0 times, resulting in a remainder of 668.
Use 0 as the next digit of our solution. 
Result so far: 9330.0
Deduct 0 from 668 and we're left with 668.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6680, and continue the process.

Advancing to step 8:
768 goes into 6680 8 times with a remainder of 536.
Put 8 as the next digit of the answer. 
Result so far: 9330.8
Subtract 6144 from 6680 to get 536.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5360, and continue the process.

Going ahead to step 9:
768 can be fit into 5360 6 times, resulting in a remainder of 752.
Use 6 as the next digit of our solution. 
Result so far: 9330.86
Deduct 4608 from 5360 and we're left with 752.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7520, and continue the process.

Step 10:
7520 divided by 768 is 9 with a remainder of 608.
Write down 9 as next digit of the result. 
Result so far: 9330.869
Subtract 6912 from 7520 to get 608.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6080, and continue the process.

Moving on to step 11:
768 goes into 6080 7 times with a remainder of 704.
The next digit of our result is 7. 
Result so far: 9330.8697
Subtracting 5376 from 6080 leaves us with 704.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7040, and continue the process.

Let's proceed to step 12:
If we divide 7040 by 768, we get 9 and a remainder of 128.
The number 9 becomes the next digit in our result. 
Result so far: 9330.86979
Subtract 6912 from 7040 to get 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

Advancing to step 13:
The number 768 fits into 1280 1 times, leaving a remainder of 512.
Write down 1 as next digit of the result. 
Result so far: 9330.869791
Subtract 768 from 1280 to get 512.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5120, and continue the process.

On to step 14:
If we divide 5120 by 768, we get 6 and a remainder of 512.
Record the quotient 6 as the next digit in the result. 
Result so far: 9330.8697916
Subtracting 4608 from 5120 leaves us with 512.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5120, and continue the process.

Step 15:
The number 768 fits into 5120 6 times, leaving a remainder of 512.
Record the quotient 6 as the next digit in the result. 
Result so far: 9330.86979166
Subtract 4608 from 5120 to get 512.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5120, and continue the process.

In conclusion, the division gives 9330.86979166 with a balance of 5.12e-07.