We're dividing 766943 by 89 
We want to divide 766943 by 89.

Let's proceed to step 1:
89 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 89

Going ahead to step 2:
The number 89 fits into 76 0 times, leaving a remainder of 76.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 76 after subtracting 0 from 76.
Include the next digit (6) from the dividend after 76, then repeat: 766 / 89

Let's proceed to step 3:
When dividing 766 by 89, we get 8 with a remainder of 54.
The next digit of our result is 8. 
Result so far: 8.0
Subtracting 712 from 766 leaves us with 54.
Grab the next digit (9) from the dividend, add it to 54, then carry on: 549 / 89

Moving on to step 4:
When dividing 549 by 89, we get 6 with a remainder of 15.
Put 6 as the next digit of the answer. 
Result so far: 86.0
If we subtract 534 from 549, we get 15.
Fetch the next digit (4) from the dividend, attach it to 15 and continue: 154 / 89

Going ahead to step 5:
154 divided by 89 is 1 with a remainder of 65.
Put 1 as the next digit of the answer. 
Result so far: 861.0
If we take 89 away from 154, we end up with 65.
Include the next digit (3) from the dividend after 65, then repeat: 653 / 89

Step 6:
If we divide 653 by 89, we get 7 and a remainder of 30.
The number 7 becomes the next digit in our result. 
Result so far: 8617.0
If we take 623 away from 653, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 7:
If we divide 300 by 89, we get 3 and a remainder of 33.
The number 3 becomes the next digit in our result. 
Result so far: 8617.3
Deduct 267 from 300 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 8:
330 divided by 89 is 3 with a remainder of 63.
The number 3 becomes the next digit in our result. 
Result so far: 8617.33
If we subtract 267 from 330, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

The quotient of the division is 8617.33, and the remainder is 0.063.