77558 ÷ 18 
We want to divide 77558 by 18.

Let's proceed to step 1:
18 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 18

Step 2:
18 goes into 77 4 times with a remainder of 5.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 72 from 77 to get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 18

Advancing to step 3:
When dividing 55 by 18, we get 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 43.0
Deduct 54 from 55 and we're left with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 18

Advancing to step 4:
When dividing 15 by 18, we get 0 with a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 430.0
If we take 0 away from 15, we end up with 15.
Include the next digit (8) from the dividend after 15, then repeat: 158 / 18

Moving on to step 5:
18 goes into 158 8 times with a remainder of 14.
The next digit of our result is 8. 
Result so far: 4308.0
The remainder is 14 after subtracting 144 from 158.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 6:
140 divided by 18 is 7 with a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 4308.7
Subtracting 126 from 140 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 7:
The number 18 fits into 140 7 times, leaving a remainder of 14.
The next digit of our result is 7. 
Result so far: 4308.77
Subtracting 126 from 140 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 4308.77, and the remainder is 0.014.