95811 ÷ 44 
We're looking to find how many times 44 goes into 95811.

Advancing to step 1:
If we divide 9 by 44, we get 0 and a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 44

Moving on to step 2:
The number 44 fits into 95 2 times, leaving a remainder of 7.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 88 from 95, we get 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 44

Step 3:
78 divided by 44 is 1 with a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
Deduct 44 from 78 and we're left with 34.
Include the next digit (1) from the dividend after 34, then repeat: 341 / 44

Moving on to step 4:
44 can be fit into 341 7 times, resulting in a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 217.0
If we take 308 away from 341, we end up with 33.
Append the next digit (1) from the dividend to 33 and continue with: 331 / 44

Going ahead to step 5:
The number 44 fits into 331 7 times, leaving a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 2177.0
Subtract 308 from 331 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 6:
44 can be fit into 230 5 times, resulting in a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 2177.5
Subtracting 220 from 230 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
100 divided by 44 is 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 2177.52
Subtract 88 from 100 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
44 can be fit into 120 2 times, resulting in a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 2177.522
If we take 88 away from 120, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final outcome is 2177.522, with a leftover of 0.0032.