Decimal Representation Math Example 1

Solution

1. 1
   Divide $5 \div 8$: $8$ goes into $50$ six times ($48$), remainder $2$. So far: $0.6$.
2. 2
   $8$ goes into $20$ twice ($16$), remainder $4$. Decimal: $0.62$.
3. 3
   $8$ goes into $40$ five times ($40$), remainder $0$. Decimal: $0.625$.
4. 4
   Remainder is $0$, so the decimal terminates: $\dfrac{5}{8} = 0.625$.