Solve 500div64

$$500 \div 64$$

Evaluate

$$\frac{125}{16}=7.8125$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 500

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)500}\\\end{array}$$

Since 5 is less than 64, use the next digit 0 from dividend 500 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)500}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 500

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)500}\\\end{array}$$

Since 50 is less than 64, use the next digit 0 from dividend 500 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)500}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 500

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)500}\\\end{array}$$

Find closest multiple of 64 to 500. We see that 7 \times 64 = 448 is the nearest. Now subtract 448 from 500 to get reminder 52. Add 7 to quotient.

$$\begin{array}{l}\phantom{64)}007\phantom{6}\\64\overline{)500}\\\phantom{64)}\underline{\phantom{}448\phantom{}}\\\phantom{64)9}52\\\end{array}$$

Since 52 is less than 64, stop the division. The reminder is 52. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }52$$

Factor

$$\frac{5 ^ {3}}{2 ^ {4}} = 7\frac{13}{16} = 7.8125$$