We look at the division of 85641 by 96 
Our goal is to divide 85641 by 96.

Let's proceed to step 1:
The number 96 fits into 8 0 times, leaving a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 96

Let's proceed to step 2:
96 can be fit into 85 0 times, resulting in a remainder of 85.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 85, we get 85.
Fetch the next digit (6) from the dividend, attach it to 85 and continue: 856 / 96

On to step 3:
If we divide 856 by 96, we get 8 and a remainder of 88.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 88 after subtracting 768 from 856.
Bring next digit (4) of the dividend behind the 88 and repeat the process: 884 / 96

Let's proceed to step 4:
The number 96 fits into 884 9 times, leaving a remainder of 20.
Write down 9 as next digit of the result. 
Result so far: 89.0
The remainder is 20 after subtracting 864 from 884.
Append the next digit (1) from the dividend to 20 and continue with: 201 / 96

Step 5:
96 goes into 201 2 times with a remainder of 9.
Put 2 as the next digit of the answer. 
Result so far: 892.0
If we take 192 away from 201, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 6:
The number 96 fits into 90 0 times, leaving a remainder of 90.
Use 0 as the next digit of our solution. 
Result so far: 892.0
If we take 0 away from 90, we end up with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Step 7:
When dividing 900 by 96, we get 9 with a remainder of 36.
Put 9 as the next digit of the answer. 
Result so far: 892.09
If we take 864 away from 900, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 8:
360 divided by 96 is 3 with a remainder of 72.
Write down 3 as next digit of the result. 
Result so far: 892.093
Subtract 288 from 360 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 9:
96 can be fit into 720 7 times, resulting in a remainder of 48.
The next digit of our result is 7. 
Result so far: 892.0937
Subtracting 672 from 720 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 10:
96 can be fit into 480 5 times, resulting in a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 892.09375
Subtract 480 from 480 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 11:
96 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 892.09375
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 12:
When dividing 0 by 96, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 892.09375
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 892.09375, with a leftover of 0.0.