We're dividing 7640928 by 689 
We want to divide 7640928 by 689.

On to step 1:
689 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 689

Advancing to step 2:
76 divided by 689 is 0 with a remainder of 76.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 76, we get 76.
Grab the next digit (4) from the dividend, add it to 76, then carry on: 764 / 689

Advancing to step 3:
When dividing 764 by 689, we get 1 with a remainder of 75.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 689 from 764, we get 75.
Take the next digit (0) from the dividend and append it to 75, then repeat: 750 / 689

Moving on to step 4:
689 goes into 750 1 times with a remainder of 61.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Deduct 689 from 750 and we're left with 61.
Fetch the next digit (9) from the dividend, attach it to 61 and continue: 619 / 689

On to step 5:
When dividing 619 by 689, we get 0 with a remainder of 619.
Write down 0 as next digit of the result. 
Result so far: 110.0
Subtracting 0 from 619 leaves us with 619.
Include the next digit (2) from the dividend after 619, then repeat: 6192 / 689

Moving on to step 6:
When dividing 6192 by 689, we get 8 with a remainder of 680.
Use 8 as the next digit of our solution. 
Result so far: 1108.0
Subtracting 5512 from 6192 leaves us with 680.
Include the next digit (8) from the dividend after 680, then repeat: 6808 / 689

On to step 7:
689 goes into 6808 9 times with a remainder of 607.
Put 9 as the next digit of the answer. 
Result so far: 11089.0
Deduct 6201 from 6808 and we're left with 607.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6070, and continue the process.

Going ahead to step 8:
689 goes into 6070 8 times with a remainder of 558.
The number 8 becomes the next digit in our result. 
Result so far: 11089.8
Deduct 5512 from 6070 and we're left with 558.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5580, and continue the process.

Step 9:
If we divide 5580 by 689, we get 8 and a remainder of 68.
The number 8 becomes the next digit in our result. 
Result so far: 11089.88
Subtracting 5512 from 5580 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Our division results in 11089.88 with a remaining 0.068.