We're dividing 776834 by 75 
Our goal is to divide 776834 by 75.

Advancing to step 1:
7 divided by 75 is 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 75

On to step 2:
If we divide 77 by 75, we get 1 and a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 75 from 77 to get 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 75

Going ahead to step 3:
If we divide 26 by 75, we get 0 and a remainder of 26.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtract 0 from 26 to get 26.
Take the next digit (8) from the dividend and append it to 26, then repeat: 268 / 75

On to step 4:
75 can be fit into 268 3 times, resulting in a remainder of 43.
Record the quotient 3 as the next digit in the result. 
Result so far: 103.0
Subtract 225 from 268 to get 43.
Grab the next digit (3) from the dividend, add it to 43, then carry on: 433 / 75

On to step 5:
If we divide 433 by 75, we get 5 and a remainder of 58.
Put 5 as the next digit of the answer. 
Result so far: 1035.0
If we subtract 375 from 433, we get 58.
Append the next digit (4) from the dividend to 58 and continue with: 584 / 75

On to step 6:
75 goes into 584 7 times with a remainder of 59.
The next digit of our result is 7. 
Result so far: 10357.0
If we subtract 525 from 584, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 7:
75 goes into 590 7 times with a remainder of 65.
The next digit of our result is 7. 
Result so far: 10357.7
Subtracting 525 from 590 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 8:
The number 75 fits into 650 8 times, leaving a remainder of 50.
Use 8 as the next digit of our solution. 
Result so far: 10357.78
If we take 600 away from 650, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
When dividing 500 by 75, we get 6 with a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 10357.786
Subtracting 450 from 500 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 10:
The number 75 fits into 500 6 times, leaving a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 10357.7866
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Our division results in 10357.7866 with a remaining 0.0005.