We're dividing 10771425 by 766 
We want to divide 10771425 by 766.

Let's proceed to step 1:
If we divide 1 by 766, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 766

On to step 2:
The number 766 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Include the next digit (7) from the dividend after 10, then repeat: 107 / 766

Advancing to step 3:
766 goes into 107 0 times with a remainder of 107.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 107 to get 107.
Grab the next digit (7) from the dividend, add it to 107, then carry on: 1077 / 766

On to step 4:
If we divide 1077 by 766, we get 1 and a remainder of 311.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 766 from 1077 leaves us with 311.
Fetch the next digit (1) from the dividend, attach it to 311 and continue: 3111 / 766

Moving on to step 5:
When dividing 3111 by 766, we get 4 with a remainder of 47.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
The remainder is 47 after subtracting 3064 from 3111.
Fetch the next digit (4) from the dividend, attach it to 47 and continue: 474 / 766

Step 6:
474 divided by 766 is 0 with a remainder of 474.
Record the quotient 0 as the next digit in the result. 
Result so far: 140.0
If we take 0 away from 474, we end up with 474.
Bring next digit (2) of the dividend behind the 474 and repeat the process: 4742 / 766

On to step 7:
766 goes into 4742 6 times with a remainder of 146.
The next digit of our result is 6. 
Result so far: 1406.0
Deduct 4596 from 4742 and we're left with 146.
Take the next digit (5) from the dividend and append it to 146, then repeat: 1465 / 766

Going ahead to step 8:
1465 divided by 766 is 1 with a remainder of 699.
The next digit of our result is 1. 
Result so far: 14061.0
The remainder is 699 after subtracting 766 from 1465.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6990, and continue the process.

Moving on to step 9:
If we divide 6990 by 766, we get 9 and a remainder of 96.
Write down 9 as next digit of the result. 
Result so far: 14061.9
If we take 6894 away from 6990, we end up with 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

On to step 10:
If we divide 960 by 766, we get 1 and a remainder of 194.
Use 1 as the next digit of our solution. 
Result so far: 14061.91
The remainder is 194 after subtracting 766 from 960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

On to step 11:
1940 divided by 766 is 2 with a remainder of 408.
Write down 2 as next digit of the result. 
Result so far: 14061.912
If we subtract 1532 from 1940, we get 408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4080, and continue the process.

Step 12:
If we divide 4080 by 766, we get 5 and a remainder of 250.
Use 5 as the next digit of our solution. 
Result so far: 14061.9125
Deduct 3830 from 4080 and we're left with 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

Advancing to step 13:
766 goes into 2500 3 times with a remainder of 202.
Write down 3 as next digit of the result. 
Result so far: 14061.91253
Subtracting 2298 from 2500 leaves us with 202.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2020, and continue the process.

Moving on to step 14:
766 can be fit into 2020 2 times, resulting in a remainder of 488.
The next digit of our result is 2. 
Result so far: 14061.912532
The remainder is 488 after subtracting 1532 from 2020.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4880, and continue the process.

Advancing to step 15:
The number 766 fits into 4880 6 times, leaving a remainder of 284.
Put 6 as the next digit of the answer. 
Result so far: 14061.9125326
The remainder is 284 after subtracting 4596 from 4880.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2840, and continue the process.

Advancing to step 16:
When dividing 2840 by 766, we get 3 with a remainder of 542.
The number 3 becomes the next digit in our result. 
Result so far: 14061.91253263
Deduct 2298 from 2840 and we're left with 542.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5420, and continue the process.

The final result is 14061.91253263 with a remainder of 5.42e-07.