We look at the division of 75772065 by 689 
We want to figure out the number of times 75772065 can be divided by 689.

Step 1:
The number 689 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 689

On to step 2:
If we divide 75 by 689, we get 0 and a remainder of 75.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 75 after subtracting 0 from 75.
Append the next digit (7) from the dividend to 75 and continue with: 757 / 689

Let's proceed to step 3:
689 can be fit into 757 1 times, resulting in a remainder of 68.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 689 from 757 to get 68.
Include the next digit (7) from the dividend after 68, then repeat: 687 / 689

Advancing to step 4:
689 goes into 687 0 times with a remainder of 687.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtracting 0 from 687 leaves us with 687.
Bring next digit (2) of the dividend behind the 687 and repeat the process: 6872 / 689

On to step 5:
The number 689 fits into 6872 9 times, leaving a remainder of 671.
The number 9 becomes the next digit in our result. 
Result so far: 109.0
Subtract 6201 from 6872 to get 671.
Fetch the next digit (0) from the dividend, attach it to 671 and continue: 6710 / 689

Moving on to step 6:
6710 divided by 689 is 9 with a remainder of 509.
Use 9 as the next digit of our solution. 
Result so far: 1099.0
If we take 6201 away from 6710, we end up with 509.
Append the next digit (6) from the dividend to 509 and continue with: 5096 / 689

Let's proceed to step 7:
If we divide 5096 by 689, we get 7 and a remainder of 273.
Put 7 as the next digit of the answer. 
Result so far: 10997.0
Deduct 4823 from 5096 and we're left with 273.
Bring next digit (5) of the dividend behind the 273 and repeat the process: 2735 / 689

Moving on to step 8:
689 goes into 2735 3 times with a remainder of 668.
Put 3 as the next digit of the answer. 
Result so far: 109973.0
Subtracting 2067 from 2735 leaves us 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.

On to step 9:
The number 689 fits into 6680 9 times, leaving a remainder of 479.
Write down 9 as next digit of the result. 
Result so far: 109973.9
If we take 6201 away from 6680, we end up with 479.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4790, and continue the process.

Let's proceed to step 10:
689 goes into 4790 6 times with a remainder of 656.
The next digit of our result is 6. 
Result so far: 109973.96
The remainder is 656 after subtracting 4134 from 4790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6560, and continue the process.

On to step 11:
If we divide 6560 by 689, we get 9 and a remainder of 359.
Put 9 as the next digit of the answer. 
Result so far: 109973.969
If we take 6201 away from 6560, we end up with 359.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3590, and continue the process.

Let's proceed to step 12:
689 goes into 3590 5 times with a remainder of 145.
The number 5 becomes the next digit in our result. 
Result so far: 109973.9695
Subtracting 3445 from 3590 leaves us with 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

On to step 13:
If we divide 1450 by 689, we get 2 and a remainder of 72.
Use 2 as the next digit of our solution. 
Result so far: 109973.96952
If we subtract 1378 from 1450, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 14:
When dividing 720 by 689, we get 1 with a remainder of 31.
The next digit of our result is 1. 
Result so far: 109973.969521
If we subtract 689 from 720, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 15:
When dividing 310 by 689, we get 0 with a remainder of 310.
Write down 0 as next digit of the result. 
Result so far: 109973.969521
If we take 0 away from 310, we end up with 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

Step 16:
3100 divided by 689 is 4 with a remainder of 344.
Write down 4 as next digit of the result. 
Result so far: 109973.96952104
Subtracting 2756 from 3100 leaves us with 344.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3440, and continue the process.

In conclusion, the division gives 109973.96952104 with a balance of 3.44e-07.