Solve 9732\div16 | Equatix

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Question

$$9732 \div 16$$

Evaluate

$\frac{2433}{4}=608.25$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $9732$

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)9732}\\\end{array}$$

Since $9$ is less than $16$, use the next digit $7$ from dividend $9732$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)9732}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $9732$

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)9732}\\\end{array}$$

Find closest multiple of $16$ to $97$. We see that $6 \times 16 = 96$ is the nearest. Now subtract $96$ from $97$ to get reminder $1$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{16)}06\phantom{4}\\16\overline{)9732}\\\phantom{16)}\underline{\phantom{}96\phantom{99}}\\\phantom{16)9}1\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $9732$

$$\begin{array}{l}\phantom{16)}06\phantom{5}\\16\overline{)9732}\\\phantom{16)}\underline{\phantom{}96\phantom{99}}\\\phantom{16)9}13\\\end{array}$$

Since $13$ is less than $16$, use the next digit $2$ from dividend $9732$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{16)}060\phantom{6}\\16\overline{)9732}\\\phantom{16)}\underline{\phantom{}96\phantom{99}}\\\phantom{16)9}13\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $9732$

$$\begin{array}{l}\phantom{16)}060\phantom{7}\\16\overline{)9732}\\\phantom{16)}\underline{\phantom{}96\phantom{99}}\\\phantom{16)9}132\\\end{array}$$

Find closest multiple of $16$ to $132$. We see that $8 \times 16 = 128$ is the nearest. Now subtract $128$ from $132$ to get reminder $4$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{16)}0608\phantom{8}\\16\overline{)9732}\\\phantom{16)}\underline{\phantom{}96\phantom{99}}\\\phantom{16)9}132\\\phantom{16)}\underline{\phantom{9}128\phantom{}}\\\phantom{16)999}4\\\end{array}$$

Since $4$ is less than $16$, stop the division. The reminder is $4$. The topmost line $0608$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $608$.

$$\text{Quotient: }608$$ $$\text{Reminder: }4$$

Show Solution

Factor

$\frac{3 \cdot 811}{2 ^ {2}} = 608\frac{1}{4} = 608.25$