We look at the division of 100310 by 44 
Our goal is to divide 100310 by 44.

Step 1:
If we divide 1 by 44, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 44

Moving on to step 2:
44 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 44

On to step 3:
When dividing 100 by 44, we get 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 88 from 100 and we're left with 12.
Grab the next digit (3) from the dividend, add it to 12, then carry on: 123 / 44

Going ahead to step 4:
The number 44 fits into 123 2 times, leaving a remainder of 35.
Write down 2 as next digit of the result. 
Result so far: 22.0
Subtract 88 from 123 to get 35.
Bring next digit (1) of the dividend behind the 35 and repeat the process: 351 / 44

On to step 5:
44 goes into 351 7 times with a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 227.0
Subtracting 308 from 351 leaves us with 43.
Append the next digit (0) from the dividend to 43 and continue with: 430 / 44

Going ahead to step 6:
44 goes into 430 9 times with a remainder of 34.
Put 9 as the next digit of the answer. 
Result so far: 2279.0
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.

Advancing to step 7:
340 divided by 44 is 7 with a remainder of 32.
Write down 7 as next digit of the result. 
Result so far: 2279.7
If we take 308 away from 340, 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.

Advancing to step 8:
44 goes into 320 7 times with a remainder of 12.
Use 7 as the next digit of our solution. 
Result so far: 2279.77
Deduct 308 from 320 and we're left 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.

After the division, we end up with 2279.77 and a remainder of 0.012.