Solve 7176\div23 | Equatix

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Question

$$7176 \div 23$$

Evaluate

$312$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $7176$

$$\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)7176}\\\end{array}$$

Since $7$ is less than $23$, use the next digit $1$ from dividend $7176$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)7176}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $7176$

$$\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)7176}\\\end{array}$$

Find closest multiple of $23$ to $71$. We see that $3 \times 23 = 69$ is the nearest. Now subtract $69$ from $71$ to get reminder $2$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{23)}03\phantom{4}\\23\overline{)7176}\\\phantom{23)}\underline{\phantom{}69\phantom{99}}\\\phantom{23)9}2\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $7176$

$$\begin{array}{l}\phantom{23)}03\phantom{5}\\23\overline{)7176}\\\phantom{23)}\underline{\phantom{}69\phantom{99}}\\\phantom{23)9}27\\\end{array}$$

Find closest multiple of $23$ to $27$. We see that $1 \times 23 = 23$ is the nearest. Now subtract $23$ from $27$ to get reminder $4$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{23)}031\phantom{6}\\23\overline{)7176}\\\phantom{23)}\underline{\phantom{}69\phantom{99}}\\\phantom{23)9}27\\\phantom{23)}\underline{\phantom{9}23\phantom{9}}\\\phantom{23)99}4\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $7176$

$$\begin{array}{l}\phantom{23)}031\phantom{7}\\23\overline{)7176}\\\phantom{23)}\underline{\phantom{}69\phantom{99}}\\\phantom{23)9}27\\\phantom{23)}\underline{\phantom{9}23\phantom{9}}\\\phantom{23)99}46\\\end{array}$$

Find closest multiple of $23$ to $46$. We see that $2 \times 23 = 46$ is the nearest. Now subtract $46$ from $46$ to get reminder $0$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{23)}0312\phantom{8}\\23\overline{)7176}\\\phantom{23)}\underline{\phantom{}69\phantom{99}}\\\phantom{23)9}27\\\phantom{23)}\underline{\phantom{9}23\phantom{9}}\\\phantom{23)99}46\\\phantom{23)}\underline{\phantom{99}46\phantom{}}\\\phantom{23)9999}0\\\end{array}$$

Since $0$ is less than $23$, stop the division. The reminder is $0$. The topmost line $0312$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $312$.

$$\text{Quotient: }312$$ $$\text{Reminder: }0$$

Show Solution

Factor

$2^{3}\times 3\times 13$