We look at the division of 968438 by 89 
We're looking to find how many times 89 goes into 968438.

On to step 1:
89 can be fit into 9 0 times, resulting in a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 89

On to step 2:
The number 89 fits into 96 1 times, leaving a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 89 from 96 and we're left with 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 89

Advancing to step 3:
89 goes into 78 0 times with a remainder of 78.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 78 and we're left with 78.
Include the next digit (4) from the dividend after 78, then repeat: 784 / 89

Step 4:
89 can be fit into 784 8 times, resulting in a remainder of 72.
Record the quotient 8 as the next digit in the result. 
Result so far: 108.0
If we take 712 away from 784, we end up with 72.
Take the next digit (3) from the dividend and append it to 72, then repeat: 723 / 89

Moving on to step 5:
The number 89 fits into 723 8 times, leaving a remainder of 11.
The next digit of our result is 8. 
Result so far: 1088.0
Deduct 712 from 723 and we're left with 11.
Take the next digit (8) from the dividend and append it to 11, then repeat: 118 / 89

Let's proceed to step 6:
When dividing 118 by 89, we get 1 with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 10881.0
Subtracting 89 from 118 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 7:
The number 89 fits into 290 3 times, leaving a remainder of 23.
Put 3 as the next digit of the answer. 
Result so far: 10881.3
If we take 267 away from 290, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 8:
When dividing 230 by 89, we get 2 with a remainder of 52.
Record the quotient 2 as the next digit in the result. 
Result so far: 10881.32
Deduct 178 from 230 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 9:
89 can be fit into 520 5 times, resulting in a remainder of 75.
Write down 5 as next digit of the result. 
Result so far: 10881.325
If we subtract 445 from 520, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Going ahead to step 10:
750 divided by 89 is 8 with a remainder of 38.
Record the quotient 8 as the next digit in the result. 
Result so far: 10881.3258
If we subtract 712 from 750, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 11:
89 goes into 380 4 times with a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 10881.32584
The remainder is 24 after subtracting 356 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 12:
240 divided by 89 is 2 with a remainder of 62.
Put 2 as the next digit of the answer. 
Result so far: 10881.325842
If we subtract 178 from 240, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 13:
If we divide 620 by 89, we get 6 and a remainder of 86.
Use 6 as the next digit of our solution. 
Result so far: 10881.3258426
If we take 534 away from 620, we end up with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Step 14:
If we divide 860 by 89, we get 9 and a remainder of 59.
The next digit of our result is 9. 
Result so far: 10881.32584269
Subtracting 801 from 860 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

The final outcome is 10881.32584269, with a leftover of 5.9e-08.