We look at the division of 963765 by 76 
We're looking to find how many times 76 goes into 963765.

Step 1:
The number 76 fits into 9 0 times, leaving a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 76

On to step 2:
76 can be fit into 96 1 times, resulting in a remainder of 20.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 76 from 96 to get 20.
Grab the next digit (3) from the dividend, add it to 20, then carry on: 203 / 76

Advancing to step 3:
When dividing 203 by 76, we get 2 with a remainder of 51.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
The remainder is 51 after subtracting 152 from 203.
Include the next digit (7) from the dividend after 51, then repeat: 517 / 76

Advancing to step 4:
517 divided by 76 is 6 with a remainder of 61.
Record the quotient 6 as the next digit in the result. 
Result so far: 126.0
Subtract 456 from 517 to get 61.
Append the next digit (6) from the dividend to 61 and continue with: 616 / 76

Step 5:
The number 76 fits into 616 8 times, leaving a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 1268.0
Subtract 608 from 616 to get 8.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 76

Let's proceed to step 6:
The number 76 fits into 85 1 times, leaving a remainder of 9.
The next digit of our result is 1. 
Result so far: 12681.0
The remainder is 9 after subtracting 76 from 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
76 goes into 90 1 times with a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 12681.1
Deduct 76 from 90 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 8:
76 goes into 140 1 times with a remainder of 64.
Write down 1 as next digit of the result. 
Result so far: 12681.11
Subtracting 76 from 140 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The quotient of the division is 12681.11, and the remainder is 0.064.