We're dividing 765877 by 72 
Our goal is to divide 765877 by 72.

Advancing to step 1:
7 divided by 72 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 72

Let's proceed to step 2:
72 goes into 76 1 times with a remainder of 4.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 72 from 76 leaves us with 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 72

Moving on to step 3:
45 divided by 72 is 0 with a remainder of 45.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 45 after subtracting 0 from 45.
Include the next digit (8) from the dividend after 45, then repeat: 458 / 72

Advancing to step 4:
72 can be fit into 458 6 times, resulting in a remainder of 26.
Write down 6 as next digit of the result. 
Result so far: 106.0
The remainder is 26 after subtracting 432 from 458.
Append the next digit (7) from the dividend to 26 and continue with: 267 / 72

Step 5:
The number 72 fits into 267 3 times, leaving a remainder of 51.
Put 3 as the next digit of the answer. 
Result so far: 1063.0
Subtract 216 from 267 to get 51.
Bring next digit (7) of the dividend behind the 51 and repeat the process: 517 / 72

Step 6:
The number 72 fits into 517 7 times, leaving a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 10637.0
If we subtract 504 from 517, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
The number 72 fits into 130 1 times, leaving a remainder of 58.
Use 1 as the next digit of our solution. 
Result so far: 10637.1
Subtract 72 from 130 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 8:
The number 72 fits into 580 8 times, leaving a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 10637.18
If we take 576 away from 580, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
The number 72 fits into 40 0 times, leaving a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 10637.18
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 10:
400 divided by 72 is 5 with a remainder of 40.
Use 5 as the next digit of our solution. 
Result so far: 10637.1805
The remainder is 40 after subtracting 360 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 11:
If we divide 400 by 72, we get 5 and a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 10637.18055
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 10637.18055 with a remainder of 4e-05.