We look at the division of 94944 by 9 
We're looking to find how many times 9 goes into 94944.

Let's proceed to step 1:
9 can be fit into 9 1 times, resulting in a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 9 from 9, we get 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 9

Step 2:
4 divided by 9 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 9

Advancing to step 3:
If we divide 49 by 9, we get 5 and a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 105.0
If we take 45 away from 49, we end up with 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 9

On to step 4:
9 goes into 44 4 times with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 1054.0
If we subtract 36 from 44, we get 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 9

Let's proceed to step 5:
9 can be fit into 84 9 times, resulting in a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 10549.0
If we subtract 81 from 84, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 6:
If we divide 30 by 9, we get 3 and a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 10549.3
If we subtract 27 from 30, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
9 can be fit into 30 3 times, resulting in a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 10549.33
Deduct 27 from 30 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 10549.33, and the remainder is 0.003.