We're dividing 89641 by 99 
We want to figure out the number of times 89641 can be divided by 99.

On to step 1:
The number 99 fits into 8 0 times, leaving a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Take the next digit (9) from the dividend and append it to 8, then repeat: 89 / 99

On to step 2:
99 can be fit into 89 0 times, resulting in a remainder of 89.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 89 to get 89.
Fetch the next digit (6) from the dividend, attach it to 89 and continue: 896 / 99

Let's proceed to step 3:
99 goes into 896 9 times with a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we subtract 891 from 896, we get 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 99

Going ahead to step 4:
99 goes into 54 0 times with a remainder of 54.
Use 0 as the next digit of our solution. 
Result so far: 90.0
The remainder is 54 after subtracting 0 from 54.
Grab the next digit (1) from the dividend, add it to 54, then carry on: 541 / 99

On to step 5:
When dividing 541 by 99, we get 5 with a remainder of 46.
Record the quotient 5 as the next digit in the result. 
Result so far: 905.0
Deduct 495 from 541 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 6:
The number 99 fits into 460 4 times, leaving a remainder of 64.
Use 4 as the next digit of our solution. 
Result so far: 905.4
Deduct 396 from 460 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 7:
99 goes into 640 6 times with a remainder of 46.
The next digit of our result is 6. 
Result so far: 905.46
If we subtract 594 from 640, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 8:
99 goes into 460 4 times with a remainder of 64.
Put 4 as the next digit of the answer. 
Result so far: 905.464
If we take 396 away from 460, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 9:
640 divided by 99 is 6 with a remainder of 46.
The number 6 becomes the next digit in our result. 
Result so far: 905.4646
Subtract 594 from 640 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 10:
460 divided by 99 is 4 with a remainder of 64.
Write down 4 as next digit of the result. 
Result so far: 905.46464
Deduct 396 from 460 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 11:
When dividing 640 by 99, we get 6 with a remainder of 46.
Put 6 as the next digit of the answer. 
Result so far: 905.464646
If we take 594 away from 640, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 12:
99 goes into 460 4 times with a remainder of 64.
Write down 4 as next digit of the result. 
Result so far: 905.4646464
Subtract 396 from 460 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 13:
If we divide 640 by 99, we get 6 and a remainder of 46.
The next digit of our result is 6. 
Result so far: 905.46464646
Deduct 594 from 640 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

The final result is 905.46464646 with a remainder of 4.6e-08.