Final answer:
To calculate 0.5 / 0.6 without a calculator, use long division to find the quotient.
Step-by-step explanation:
To calculate 0.5 / 0.6 without a calculator, you can use long division. Here are the steps:
- Write down the division problem: 0.5 / 0.6
 - Put a decimal point after 0.5 to make it a decimal: 0.5 becomes 0.50
 - Divide 0.50 by 0.6. The first digit of the quotient is 0 because 0.5 is less than 0.6.
 - Multiply 0 by 0.6 to get 0, then subtract from 0.5 to get a remainder of 0.5.
 - Bring down the next digit of the dividend, which is 0, to the right of the remainder.
 - Now divide 0.50 by 0.6 again. The new quotient is 0.8.
 - Multiply 0.8 by 0.6 to get 0.48, then subtract from 0.50 to get a remainder of 0.02.
 - Since the remainder is less than 0.6, you can stop here.
 - The final quotient is 0.80 (or you can approximate it as 0.8).