We're dividing 4589 by 78 
We want to figure out the number of times 4589 can be divided by 78.

Moving on to step 1:
The number 78 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 78

Moving on to step 2:
If we divide 45 by 78, we get 0 and a remainder of 45.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 45, we end up with 45.
Bring next digit (8) of the dividend behind the 45 and repeat the process: 458 / 78

Advancing to step 3:
78 goes into 458 5 times with a remainder of 68.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 390 away from 458, we end up with 68.
Append the next digit (9) from the dividend to 68 and continue with: 689 / 78

Moving on to step 4:
The number 78 fits into 689 8 times, leaving a remainder of 65.
The number 8 becomes the next digit in our result. 
Result so far: 58.0
Subtracting 624 from 689 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 5:
78 goes into 650 8 times with a remainder of 26.
The number 8 becomes the next digit in our result. 
Result so far: 58.8
Subtracting 624 from 650 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 6:
If we divide 260 by 78, we get 3 and a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 58.83
Subtracting 234 from 260 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 7:
260 divided by 78 is 3 with a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 58.833
If we take 234 away from 260, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

In conclusion, the division gives 58.833 with a balance of 0.0026.