We're dividing 965887 by 44 
We want to figure out the number of times 965887 can be divided by 44.

On to step 1:
44 can be fit into 9 0 times, resulting in a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 44

Advancing to step 2:
The number 44 fits into 96 2 times, leaving a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 88 away from 96, we end up with 8.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 44

Going ahead to step 3:
44 goes into 85 1 times with a remainder of 41.
Use 1 as the next digit of our solution. 
Result so far: 21.0
Subtract 44 from 85 to get 41.
Append the next digit (8) from the dividend to 41 and continue with: 418 / 44

On to step 4:
44 goes into 418 9 times with a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 219.0
Deduct 396 from 418 and we're left with 22.
Include the next digit (8) from the dividend after 22, then repeat: 228 / 44

Going ahead to step 5:
The number 44 fits into 228 5 times, leaving a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 2195.0
Subtracting 220 from 228 leaves us with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 44

Moving on to step 6:
If we divide 87 by 44, we get 1 and a remainder of 43.
Write down 1 as next digit of the result. 
Result so far: 21951.0
If we take 44 away from 87, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 7:
44 goes into 430 9 times with a remainder of 34.
The number 9 becomes the next digit in our result. 
Result so far: 21951.9
The remainder is 34 after subtracting 396 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 8:
The number 44 fits into 340 7 times, leaving a remainder of 32.
Record the quotient 7 as the next digit in the result. 
Result so far: 21951.97
Subtract 308 from 340 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 9:
When dividing 320 by 44, we get 7 with a remainder of 12.
The next digit of our result is 7. 
Result so far: 21951.977
Subtracting 308 from 320 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 21951.977 with a remainder of 0.0012.