We look at the division of 10165590 by 944 
We're looking to find how many times 944 goes into 10165590.

Advancing to step 1:
944 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 944

On to step 2:
If we divide 10 by 944, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 944

Let's proceed to step 3:
944 can be fit into 101 0 times, resulting in a remainder of 101.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 101 to get 101.
Grab the next digit (6) from the dividend, add it to 101, then carry on: 1016 / 944

Advancing to step 4:
The number 944 fits into 1016 1 times, leaving a remainder of 72.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 944 away from 1016, we end up with 72.
Take the next digit (5) from the dividend and append it to 72, then repeat: 725 / 944

Let's proceed to step 5:
The number 944 fits into 725 0 times, leaving a remainder of 725.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 725 and we're left with 725.
Take the next digit (5) from the dividend and append it to 725, then repeat: 7255 / 944

Advancing to step 6:
944 goes into 7255 7 times with a remainder of 647.
Put 7 as the next digit of the answer. 
Result so far: 107.0
Subtract 6608 from 7255 to get 647.
Bring next digit (9) of the dividend behind the 647 and repeat the process: 6479 / 944

Let's proceed to step 7:
6479 divided by 944 is 6 with a remainder of 815.
Put 6 as the next digit of the answer. 
Result so far: 1076.0
The remainder is 815 after subtracting 5664 from 6479.
Include the next digit (0) from the dividend after 815, then repeat: 8150 / 944

Let's proceed to step 8:
If we divide 8150 by 944, we get 8 and a remainder of 598.
The number 8 becomes the next digit in our result. 
Result so far: 10768.0
The remainder is 598 after subtracting 7552 from 8150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5980, and continue the process.

Step 9:
944 goes into 5980 6 times with a remainder of 316.
Put 6 as the next digit of the answer. 
Result so far: 10768.6
If we subtract 5664 from 5980, we get 316.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3160, and continue the process.

Moving on to step 10:
If we divide 3160 by 944, we get 3 and a remainder of 328.
Put 3 as the next digit of the answer. 
Result so far: 10768.63
If we take 2832 away from 3160, we end up with 328.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3280, and continue the process.

Going ahead to step 11:
If we divide 3280 by 944, we get 3 and a remainder of 448.
The next digit of our result is 3. 
Result so far: 10768.633
Subtracting 2832 from 3280 leaves us with 448.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4480, and continue the process.

The final outcome is 10768.633, with a leftover of 0.0448.