Solve 9999div24

$$9999 \div 24$$

Evaluate

$$\frac{3333}{8}=416.625$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9999

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)9999}\\\end{array}$$

Since 9 is less than 24, use the next digit 9 from dividend 9999 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)9999}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 9999

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)9999}\\\end{array}$$

Find closest multiple of 24 to 99. We see that 4 \times 24 = 96 is the nearest. Now subtract 96 from 99 to get reminder 3. Add 4 to quotient.

$$\begin{array}{l}\phantom{24)}04\phantom{4}\\24\overline{)9999}\\\phantom{24)}\underline{\phantom{}96\phantom{99}}\\\phantom{24)9}3\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 9999

$$\begin{array}{l}\phantom{24)}04\phantom{5}\\24\overline{)9999}\\\phantom{24)}\underline{\phantom{}96\phantom{99}}\\\phantom{24)9}39\\\end{array}$$

Find closest multiple of 24 to 39. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 39 to get reminder 15. Add 1 to quotient.

$$\begin{array}{l}\phantom{24)}041\phantom{6}\\24\overline{)9999}\\\phantom{24)}\underline{\phantom{}96\phantom{99}}\\\phantom{24)9}39\\\phantom{24)}\underline{\phantom{9}24\phantom{9}}\\\phantom{24)9}15\\\end{array}$$

Use the 4^{th} digit 9 from dividend 9999

$$\begin{array}{l}\phantom{24)}041\phantom{7}\\24\overline{)9999}\\\phantom{24)}\underline{\phantom{}96\phantom{99}}\\\phantom{24)9}39\\\phantom{24)}\underline{\phantom{9}24\phantom{9}}\\\phantom{24)9}159\\\end{array}$$

Find closest multiple of 24 to 159. We see that 6 \times 24 = 144 is the nearest. Now subtract 144 from 159 to get reminder 15. Add 6 to quotient.

$$\begin{array}{l}\phantom{24)}0416\phantom{8}\\24\overline{)9999}\\\phantom{24)}\underline{\phantom{}96\phantom{99}}\\\phantom{24)9}39\\\phantom{24)}\underline{\phantom{9}24\phantom{9}}\\\phantom{24)9}159\\\phantom{24)}\underline{\phantom{9}144\phantom{}}\\\phantom{24)99}15\\\end{array}$$

Since 15 is less than 24, stop the division. The reminder is 15. The topmost line 0416 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 416.

$$\text{Quotient: }416 \text{Reminder: }15$$

Factor

$$\frac{3 \cdot 11 \cdot 101}{2 ^ {3}} = 416\frac{5}{8} = 416.625$$