Solve 9096\div16 | Equatix

Question

$$9096 \div 16$$

Evaluate

$\frac{1137}{2}=568.5$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $9096$

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)9096}\\\end{array}$$

Since $9$ is less than $16$, use the next digit $0$ from dividend $9096$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)9096}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $9096$

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)9096}\\\end{array}$$

Find closest multiple of $16$ to $90$. We see that $5 \times 16 = 80$ is the nearest. Now subtract $80$ from $90$ to get reminder $10$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{16)}05\phantom{4}\\16\overline{)9096}\\\phantom{16)}\underline{\phantom{}80\phantom{99}}\\\phantom{16)}10\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $9096$

$$\begin{array}{l}\phantom{16)}05\phantom{5}\\16\overline{)9096}\\\phantom{16)}\underline{\phantom{}80\phantom{99}}\\\phantom{16)}109\\\end{array}$$

Find closest multiple of $16$ to $109$. We see that $6 \times 16 = 96$ is the nearest. Now subtract $96$ from $109$ to get reminder $13$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{16)}056\phantom{6}\\16\overline{)9096}\\\phantom{16)}\underline{\phantom{}80\phantom{99}}\\\phantom{16)}109\\\phantom{16)}\underline{\phantom{9}96\phantom{9}}\\\phantom{16)9}13\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $9096$

$$\begin{array}{l}\phantom{16)}056\phantom{7}\\16\overline{)9096}\\\phantom{16)}\underline{\phantom{}80\phantom{99}}\\\phantom{16)}109\\\phantom{16)}\underline{\phantom{9}96\phantom{9}}\\\phantom{16)9}136\\\end{array}$$

Find closest multiple of $16$ to $136$. We see that $8 \times 16 = 128$ is the nearest. Now subtract $128$ from $136$ to get reminder $8$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{16)}0568\phantom{8}\\16\overline{)9096}\\\phantom{16)}\underline{\phantom{}80\phantom{99}}\\\phantom{16)}109\\\phantom{16)}\underline{\phantom{9}96\phantom{9}}\\\phantom{16)9}136\\\phantom{16)}\underline{\phantom{9}128\phantom{}}\\\phantom{16)999}8\\\end{array}$$

Since $8$ is less than $16$, stop the division. The reminder is $8$. The topmost line $0568$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $568$.

$$\text{Quotient: }568$$ $$\text{Reminder: }8$$

Show Solution

Factor

$\frac{3 \cdot 379}{2} = 568\frac{1}{2} = 568.5$

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Steps For Long Division Method

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