Solve 230\div110 | Equatix

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Question

$$230 \div 110$$

Evaluate

$\frac{23}{11}\approx 2.090909091$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $230$

$$\begin{array}{l}\phantom{110)}\phantom{1}\\110\overline{)230}\\\end{array}$$

Since $2$ is less than $110$, use the next digit $3$ from dividend $230$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{110)}0\phantom{2}\\110\overline{)230}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $230$

$$\begin{array}{l}\phantom{110)}0\phantom{3}\\110\overline{)230}\\\end{array}$$

Since $23$ is less than $110$, use the next digit $0$ from dividend $230$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{110)}00\phantom{4}\\110\overline{)230}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $230$

$$\begin{array}{l}\phantom{110)}00\phantom{5}\\110\overline{)230}\\\end{array}$$

Find closest multiple of $110$ to $230$. We see that $2 \times 110 = 220$ is the nearest. Now subtract $220$ from $230$ to get reminder $10$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{110)}002\phantom{6}\\110\overline{)230}\\\phantom{110)}\underline{\phantom{}220\phantom{}}\\\phantom{110)9}10\\\end{array}$$

Since $10$ is less than $110$, stop the division. The reminder is $10$. The topmost line $002$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2$.

$$\text{Quotient: }2$$ $$\text{Reminder: }10$$

Show Solution

Factor

$\frac{23}{11} = 2\frac{1}{11} = 2.090909090909091$