We're dividing 966301 by 89 
We want to divide 966301 by 89.

Let's proceed to step 1:
9 divided by 89 is 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 89

Advancing to step 2:
When dividing 96 by 89, we get 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 89 away from 96, we end up with 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 89

Step 3:
If we divide 76 by 89, we get 0 and a remainder of 76.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtracting 0 from 76 leaves us with 76.
Take the next digit (3) from the dividend and append it to 76, then repeat: 763 / 89

Moving on to step 4:
If we divide 763 by 89, we get 8 and a remainder of 51.
Put 8 as the next digit of the answer. 
Result so far: 108.0
If we subtract 712 from 763, we get 51.
Bring next digit (0) of the dividend behind the 51 and repeat the process: 510 / 89

Moving on to step 5:
When dividing 510 by 89, we get 5 with a remainder of 65.
Write down 5 as next digit of the result. 
Result so far: 1085.0
The remainder is 65 after subtracting 445 from 510.
Bring next digit (1) of the dividend behind the 65 and repeat the process: 651 / 89

Advancing to step 6:
89 goes into 651 7 times with a remainder of 28.
Use 7 as the next digit of our solution. 
Result so far: 10857.0
Deduct 623 from 651 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 7:
If we divide 280 by 89, we get 3 and a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 10857.3
Subtract 267 from 280 to 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 8:
89 can be fit into 130 1 times, resulting in a remainder of 41.
The number 1 becomes the next digit in our result. 
Result so far: 10857.31
The remainder is 41 after subtracting 89 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 9:
89 can be fit into 410 4 times, resulting in a remainder of 54.
The next digit of our result is 4. 
Result so far: 10857.314
If we take 356 away from 410, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 10:
89 goes into 540 6 times with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 10857.3146
The remainder is 6 after subtracting 534 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 11:
60 divided by 89 is 0 with a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 10857.3146
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 12:
When dividing 600 by 89, we get 6 with a remainder of 66.
Write down 6 as next digit of the result. 
Result so far: 10857.314606
Deduct 534 from 600 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 13:
If we divide 660 by 89, we get 7 and a remainder of 37.
Write down 7 as next digit of the result. 
Result so far: 10857.3146067
Subtracting 623 from 660 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 14:
When dividing 370 by 89, we get 4 with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 10857.31460674
Subtracting 356 from 370 leaves us 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.

In conclusion, the division gives 10857.31460674 with a balance of 1.4e-08.