Solve 12429\div17 | Equatix

Question

$$12429 \div 17$$

Evaluate

$\frac{12429}{17}\approx 731.117647059$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $12429$

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)12429}\\\end{array}$$

Since $1$ is less than $17$, use the next digit $2$ from dividend $12429$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)12429}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $12429$

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)12429}\\\end{array}$$

Since $12$ is less than $17$, use the next digit $4$ from dividend $12429$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{17)}00\phantom{4}\\17\overline{)12429}\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $12429$

$$\begin{array}{l}\phantom{17)}00\phantom{5}\\17\overline{)12429}\\\end{array}$$

Find closest multiple of $17$ to $124$. We see that $7 \times 17 = 119$ is the nearest. Now subtract $119$ from $124$ to get reminder $5$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{17)}007\phantom{6}\\17\overline{)12429}\\\phantom{17)}\underline{\phantom{}119\phantom{99}}\\\phantom{17)99}5\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $12429$

$$\begin{array}{l}\phantom{17)}007\phantom{7}\\17\overline{)12429}\\\phantom{17)}\underline{\phantom{}119\phantom{99}}\\\phantom{17)99}52\\\end{array}$$

Find closest multiple of $17$ to $52$. We see that $3 \times 17 = 51$ is the nearest. Now subtract $51$ from $52$ to get reminder $1$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{17)}0073\phantom{8}\\17\overline{)12429}\\\phantom{17)}\underline{\phantom{}119\phantom{99}}\\\phantom{17)99}52\\\phantom{17)}\underline{\phantom{99}51\phantom{9}}\\\phantom{17)999}1\\\end{array}$$

Use the $5^{th}$ digit $9$ from dividend $12429$

$$\begin{array}{l}\phantom{17)}0073\phantom{9}\\17\overline{)12429}\\\phantom{17)}\underline{\phantom{}119\phantom{99}}\\\phantom{17)99}52\\\phantom{17)}\underline{\phantom{99}51\phantom{9}}\\\phantom{17)999}19\\\end{array}$$

Find closest multiple of $17$ to $19$. We see that $1 \times 17 = 17$ is the nearest. Now subtract $17$ from $19$ to get reminder $2$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{17)}00731\phantom{10}\\17\overline{)12429}\\\phantom{17)}\underline{\phantom{}119\phantom{99}}\\\phantom{17)99}52\\\phantom{17)}\underline{\phantom{99}51\phantom{9}}\\\phantom{17)999}19\\\phantom{17)}\underline{\phantom{999}17\phantom{}}\\\phantom{17)9999}2\\\end{array}$$

Since $2$ is less than $17$, stop the division. The reminder is $2$. The topmost line $00731$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $731$.

$$\text{Quotient: }731$$ $$\text{Reminder: }2$$

Show Solution

Factor

$\frac{3 ^ {2} \cdot 1381}{17} = 731\frac{2}{17} = 731.1176470588235$

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Steps For Long Division Method

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