67/8 as a decimal

Steps to Solve

1. Set up the division

Set up the division problem where 67 is divided by 8.

2. Perform the division

Divide 67 by 8. The integer part of the quotient is 8 (since $8 imes 8 = 64$ which is the largest multiple of 8 less than 67). Subtract 64 from 67 to get the remainder.

$$ 67 - 64 = 3 $$

So far, our answer is 8, with a remainder of 3.

3. Continue with the remainder

To continue, add a decimal point and a zero to the remainder, making it 30. Divide 30 by 8.

$$ 30 \div 8 = 3.75 $$

The integer part of the new quotient is 3 (since $8 imes 3 = 24$). Subtract 24 from 30 to get the new remainder.

$$ 30 - 24 = 6 $$

So far, our answer is 8.3, with a remainder of 6.

4. Repeat the process

Add another zero to the remainder making it 60. Divide 60 by 8.

$$ 60 \div 8 = 7.5 $$

The integer part of the new quotient is 7 (since $8 imes 7 = 56$). Subtract 56 from 60 to get the new remainder.

$$ 60 - 56 = 4 $$

So far, our answer is 8.37, with a remainder of 4.

5. Repeat again

Add another zero to the remainder making it 40. Divide 40 by 8.

$$ 40 \div 8 = 5 $$

The integer part of the new quotient is 5 (since $8 imes 5 = 40$). Subtract 40 from 40 to get the new remainder.

$$ 40 - 40 = 0 $$

So we have found the decimal representation of 67 divided by 8 is 8.375.