44110 ÷ 79 
We want to divide 44110 by 79.

Advancing to step 1:
4 divided by 79 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 79

Going ahead to step 2:
If we divide 44 by 79, we get 0 and a remainder of 44.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 44, we end up with 44.
Fetch the next digit (1) from the dividend, attach it to 44 and continue: 441 / 79

Going ahead to step 3:
441 divided by 79 is 5 with a remainder of 46.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 395 from 441 to get 46.
Include the next digit (1) from the dividend after 46, then repeat: 461 / 79

Step 4:
When dividing 461 by 79, we get 5 with a remainder of 66.
Record the quotient 5 as the next digit in the result. 
Result so far: 55.0
If we subtract 395 from 461, we get 66.
Include the next digit (0) from the dividend after 66, then repeat: 660 / 79

Let's proceed to step 5:
79 can be fit into 660 8 times, resulting in a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 558.0
If we take 632 away from 660, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 6:
79 can be fit into 280 3 times, resulting in a remainder of 43.
Put 3 as the next digit of the answer. 
Result so far: 558.3
If we subtract 237 from 280, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 7:
79 can be fit into 430 5 times, resulting in a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 558.35
If we take 395 away from 430, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 8:
350 divided by 79 is 4 with a remainder of 34.
The number 4 becomes the next digit in our result. 
Result so far: 558.354
Deduct 316 from 350 and we're left with 34.
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 9:
The number 79 fits into 340 4 times, leaving a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 558.3544
If we take 316 away from 340, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The quotient of the division is 558.3544, and the remainder is 0.00024.