91079 ÷ 45 
Let's see how many times 45 fits into 91079.

Let's proceed to step 1:
If we divide 9 by 45, we get 0 and a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 45

On to step 2:
45 can be fit into 91 2 times, resulting in a remainder of 1.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 90 from 91, we get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 45

Going ahead to step 3:
10 divided by 45 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
If we subtract 0 from 10, we get 10.
Include the next digit (7) from the dividend after 10, then repeat: 107 / 45

Step 4:
The number 45 fits into 107 2 times, leaving a remainder of 17.
Use 2 as the next digit of our solution. 
Result so far: 202.0
The remainder is 17 after subtracting 90 from 107.
Fetch the next digit (9) from the dividend, attach it to 17 and continue: 179 / 45

Step 5:
When dividing 179 by 45, we get 3 with a remainder of 44.
The next digit of our result is 3. 
Result so far: 2023.0
If we take 135 away from 179, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 6:
When dividing 440 by 45, we get 9 with a remainder of 35.
The number 9 becomes the next digit in our result. 
Result so far: 2023.9
Subtract 405 from 440 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 7:
45 can be fit into 350 7 times, resulting in a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 2023.97
Deduct 315 from 350 and we're left 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.

Moving on to step 8:
45 can be fit into 350 7 times, resulting in a remainder of 35.
Record the quotient 7 as the next digit in the result. 
Result so far: 2023.977
Deduct 315 from 350 and we're left 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.

The quotient of the division is 2023.977, and the remainder is 0.0035.