Solve 398\div23 | Equatix

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Question

$$398 \div 23$$

Evaluate

$\frac{398}{23}\approx 17.304347826$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $398$

$$\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)398}\\\end{array}$$

Since $3$ is less than $23$, use the next digit $9$ from dividend $398$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)398}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $398$

$$\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)398}\\\end{array}$$

Find closest multiple of $23$ to $39$. We see that $1 \times 23 = 23$ is the nearest. Now subtract $23$ from $39$ to get reminder $16$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{23)}01\phantom{4}\\23\overline{)398}\\\phantom{23)}\underline{\phantom{}23\phantom{9}}\\\phantom{23)}16\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $398$

$$\begin{array}{l}\phantom{23)}01\phantom{5}\\23\overline{)398}\\\phantom{23)}\underline{\phantom{}23\phantom{9}}\\\phantom{23)}168\\\end{array}$$

Find closest multiple of $23$ to $168$. We see that $7 \times 23 = 161$ is the nearest. Now subtract $161$ from $168$ to get reminder $7$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{23)}017\phantom{6}\\23\overline{)398}\\\phantom{23)}\underline{\phantom{}23\phantom{9}}\\\phantom{23)}168\\\phantom{23)}\underline{\phantom{}161\phantom{}}\\\phantom{23)99}7\\\end{array}$$

Since $7$ is less than $23$, stop the division. The reminder is $7$. The topmost line $017$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $17$.

$$\text{Quotient: }17$$ $$\text{Reminder: }7$$

Show Solution

Factor

$\frac{2 \cdot 199}{23} = 17\frac{7}{23} = 17.304347826086957$