105003 ÷ 44 
Let's see how many times 44 fits into 105003.

Moving on to 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
Subtract 0 from 1 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 44

Advancing to step 2:
The number 44 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 44

Advancing to step 3:
105 divided by 44 is 2 with a remainder of 17.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 88 away from 105, we end up with 17.
Include the next digit (0) from the dividend after 17, then repeat: 170 / 44

Advancing to step 4:
44 goes into 170 3 times with a remainder of 38.
Use 3 as the next digit of our solution. 
Result so far: 23.0
Subtracting 132 from 170 leaves us with 38.
Take the next digit (0) from the dividend and append it to 38, then repeat: 380 / 44

Step 5:
380 divided by 44 is 8 with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 238.0
Subtract 352 from 380 to get 28.
Fetch the next digit (3) from the dividend, attach it to 28 and continue: 283 / 44

On to step 6:
The number 44 fits into 283 6 times, leaving a remainder of 19.
The number 6 becomes the next digit in our result. 
Result so far: 2386.0
The remainder is 19 after subtracting 264 from 283.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 7:
44 can be fit into 190 4 times, resulting in a remainder of 14.
The next digit of our result is 4. 
Result so far: 2386.4
If we subtract 176 from 190, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 8:
44 goes into 140 3 times with a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 2386.43
Subtract 132 from 140 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
If we divide 80 by 44, we get 1 and a remainder of 36.
Put 1 as the next digit of the answer. 
Result so far: 2386.431
If we take 44 away from 80, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 10:
The number 44 fits into 360 8 times, leaving a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 2386.4318
If we subtract 352 from 360, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 11:
When dividing 80 by 44, we get 1 with a remainder of 36.
Record the quotient 1 as the next digit in the result. 
Result so far: 2386.43181
If we take 44 away from 80, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 12:
360 divided by 44 is 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 2386.431818
If we take 352 away from 360, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 13:
If we divide 80 by 44, we get 1 and a remainder of 36.
Write down 1 as next digit of the result. 
Result so far: 2386.4318181
If we subtract 44 from 80, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 14:
44 can be fit into 360 8 times, resulting in a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 2386.43181818
If we take 352 away from 360, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 2386.43181818 with a remainder of 8e-09.