We're dividing 944311 by 95 
We want to figure out the number of times 944311 can be divided by 95.

On to step 1:
9 divided by 95 is 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 95

Let's proceed to step 2:
The number 95 fits into 94 0 times, leaving a remainder of 94.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 94, we end up with 94.
Bring next digit (4) of the dividend behind the 94 and repeat the process: 944 / 95

Going ahead to step 3:
The number 95 fits into 944 9 times, leaving a remainder of 89.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we take 855 away from 944, we end up with 89.
Grab the next digit (3) from the dividend, add it to 89, then carry on: 893 / 95

Step 4:
95 goes into 893 9 times with a remainder of 38.
The number 9 becomes the next digit in our result. 
Result so far: 99.0
Deduct 855 from 893 and we're left with 38.
Append the next digit (1) from the dividend to 38 and continue with: 381 / 95

Advancing to step 5:
The number 95 fits into 381 4 times, leaving a remainder of 1.
The next digit of our result is 4. 
Result so far: 994.0
The remainder is 1 after subtracting 380 from 381.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 95

Advancing to step 6:
If we divide 11 by 95, we get 0 and a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 9940.0
Subtract 0 from 11 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
110 divided by 95 is 1 with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 9940.1
Subtracting 95 from 110 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
95 goes into 150 1 times with a remainder of 55.
The number 1 becomes the next digit in our result. 
Result so far: 9940.11
Deduct 95 from 150 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

The quotient of the division is 9940.11, and the remainder is 0.055.