Solve 78423\div17 | Equatix

Question

$$78423 \div 17$$

Evaluate

$\frac{78423}{17}\approx 4613.117647059$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $78423$

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)78423}\\\end{array}$$

Since $7$ is less than $17$, use the next digit $8$ from dividend $78423$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)78423}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $78423$

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)78423}\\\end{array}$$

Find closest multiple of $17$ to $78$. We see that $4 \times 17 = 68$ is the nearest. Now subtract $68$ from $78$ to get reminder $10$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{17)}04\phantom{4}\\17\overline{)78423}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)}10\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $78423$

$$\begin{array}{l}\phantom{17)}04\phantom{5}\\17\overline{)78423}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)}104\\\end{array}$$

Find closest multiple of $17$ to $104$. We see that $6 \times 17 = 102$ is the nearest. Now subtract $102$ from $104$ to get reminder $2$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{17)}046\phantom{6}\\17\overline{)78423}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)}104\\\phantom{17)}\underline{\phantom{}102\phantom{99}}\\\phantom{17)99}2\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $78423$

$$\begin{array}{l}\phantom{17)}046\phantom{7}\\17\overline{)78423}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)}104\\\phantom{17)}\underline{\phantom{}102\phantom{99}}\\\phantom{17)99}22\\\end{array}$$

Find closest multiple of $17$ to $22$. We see that $1 \times 17 = 17$ is the nearest. Now subtract $17$ from $22$ to get reminder $5$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{17)}0461\phantom{8}\\17\overline{)78423}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)}104\\\phantom{17)}\underline{\phantom{}102\phantom{99}}\\\phantom{17)99}22\\\phantom{17)}\underline{\phantom{99}17\phantom{9}}\\\phantom{17)999}5\\\end{array}$$

Use the $5^{th}$ digit $3$ from dividend $78423$

$$\begin{array}{l}\phantom{17)}0461\phantom{9}\\17\overline{)78423}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)}104\\\phantom{17)}\underline{\phantom{}102\phantom{99}}\\\phantom{17)99}22\\\phantom{17)}\underline{\phantom{99}17\phantom{9}}\\\phantom{17)999}53\\\end{array}$$

Find closest multiple of $17$ to $53$. We see that $3 \times 17 = 51$ is the nearest. Now subtract $51$ from $53$ to get reminder $2$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{17)}04613\phantom{10}\\17\overline{)78423}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)}104\\\phantom{17)}\underline{\phantom{}102\phantom{99}}\\\phantom{17)99}22\\\phantom{17)}\underline{\phantom{99}17\phantom{9}}\\\phantom{17)999}53\\\phantom{17)}\underline{\phantom{999}51\phantom{}}\\\phantom{17)9999}2\\\end{array}$$

Since $2$ is less than $17$, stop the division. The reminder is $2$. The topmost line $04613$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $4613$.

$$\text{Quotient: }4613$$ $$\text{Reminder: }2$$

Show Solution

Factor

$\frac{3 \cdot 26141}{17} = 4613\frac{2}{17} = 4613.117647058823$

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Steps For Long Division Method

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