4579 ÷ 89 
We're looking to find how many times 89 goes into 4579.

Going ahead to step 1:
4 divided by 89 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 89

Advancing to step 2:
When dividing 45 by 89, we get 0 with a remainder of 45.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 45 after subtracting 0 from 45.
Bring next digit (7) of the dividend behind the 45 and repeat the process: 457 / 89

Step 3:
457 divided by 89 is 5 with a remainder of 12.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 445 away from 457, we end up with 12.
Append the next digit (9) from the dividend to 12 and continue with: 129 / 89

Let's proceed to step 4:
89 can be fit into 129 1 times, resulting in a remainder of 40.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
Subtract 89 from 129 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 5:
When dividing 400 by 89, we get 4 with a remainder of 44.
The number 4 becomes the next digit in our result. 
Result so far: 51.4
If we take 356 away from 400, 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.

Step 6:
89 goes into 440 4 times with a remainder of 84.
Use 4 as the next digit of our solution. 
Result so far: 51.44
Subtracting 356 from 440 leaves us with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

The final outcome is 51.44, with a leftover of 0.084.