Solve 94502\div16 | Equatix

Question

$$94502 \div 16$$

Evaluate

$\frac{47251}{8}=5906.375$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $94502$

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)94502}\\\end{array}$$

Since $9$ is less than $16$, use the next digit $4$ from dividend $94502$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)94502}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $94502$

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)94502}\\\end{array}$$

Find closest multiple of $16$ to $94$. We see that $5 \times 16 = 80$ is the nearest. Now subtract $80$ from $94$ to get reminder $14$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{16)}05\phantom{4}\\16\overline{)94502}\\\phantom{16)}\underline{\phantom{}80\phantom{999}}\\\phantom{16)}14\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $94502$

$$\begin{array}{l}\phantom{16)}05\phantom{5}\\16\overline{)94502}\\\phantom{16)}\underline{\phantom{}80\phantom{999}}\\\phantom{16)}145\\\end{array}$$

Find closest multiple of $16$ to $145$. We see that $9 \times 16 = 144$ is the nearest. Now subtract $144$ from $145$ to get reminder $1$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{16)}059\phantom{6}\\16\overline{)94502}\\\phantom{16)}\underline{\phantom{}80\phantom{999}}\\\phantom{16)}145\\\phantom{16)}\underline{\phantom{}144\phantom{99}}\\\phantom{16)99}1\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $94502$

$$\begin{array}{l}\phantom{16)}059\phantom{7}\\16\overline{)94502}\\\phantom{16)}\underline{\phantom{}80\phantom{999}}\\\phantom{16)}145\\\phantom{16)}\underline{\phantom{}144\phantom{99}}\\\phantom{16)99}10\\\end{array}$$

Since $10$ is less than $16$, use the next digit $2$ from dividend $94502$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{16)}0590\phantom{8}\\16\overline{)94502}\\\phantom{16)}\underline{\phantom{}80\phantom{999}}\\\phantom{16)}145\\\phantom{16)}\underline{\phantom{}144\phantom{99}}\\\phantom{16)99}10\\\end{array}$$

Use the $5^{th}$ digit $2$ from dividend $94502$

$$\begin{array}{l}\phantom{16)}0590\phantom{9}\\16\overline{)94502}\\\phantom{16)}\underline{\phantom{}80\phantom{999}}\\\phantom{16)}145\\\phantom{16)}\underline{\phantom{}144\phantom{99}}\\\phantom{16)99}102\\\end{array}$$

Find closest multiple of $16$ to $102$. We see that $6 \times 16 = 96$ is the nearest. Now subtract $96$ from $102$ to get reminder $6$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{16)}05906\phantom{10}\\16\overline{)94502}\\\phantom{16)}\underline{\phantom{}80\phantom{999}}\\\phantom{16)}145\\\phantom{16)}\underline{\phantom{}144\phantom{99}}\\\phantom{16)99}102\\\phantom{16)}\underline{\phantom{999}96\phantom{}}\\\phantom{16)9999}6\\\end{array}$$

Since $6$ is less than $16$, stop the division. The reminder is $6$. The topmost line $05906$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $5906$.

$$\text{Quotient: }5906$$ $$\text{Reminder: }6$$

Show Solution

Factor

$\frac{47251}{2 ^ {3}} = 5906\frac{3}{8} = 5906.375$

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Steps For Long Division Method

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