Solve 45623\div17 | Equatix

Question

$$45623 \div 17$$

Evaluate

$\frac{45623}{17}\approx 2683.705882353$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $45623$

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)45623}\\\end{array}$$

Since $4$ is less than $17$, use the next digit $5$ from dividend $45623$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)45623}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $45623$

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)45623}\\\end{array}$$

Find closest multiple of $17$ to $45$. We see that $2 \times 17 = 34$ is the nearest. Now subtract $34$ from $45$ to get reminder $11$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{17)}02\phantom{4}\\17\overline{)45623}\\\phantom{17)}\underline{\phantom{}34\phantom{999}}\\\phantom{17)}11\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $45623$

$$\begin{array}{l}\phantom{17)}02\phantom{5}\\17\overline{)45623}\\\phantom{17)}\underline{\phantom{}34\phantom{999}}\\\phantom{17)}116\\\end{array}$$

Find closest multiple of $17$ to $116$. We see that $6 \times 17 = 102$ is the nearest. Now subtract $102$ from $116$ to get reminder $14$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{17)}026\phantom{6}\\17\overline{)45623}\\\phantom{17)}\underline{\phantom{}34\phantom{999}}\\\phantom{17)}116\\\phantom{17)}\underline{\phantom{}102\phantom{99}}\\\phantom{17)9}14\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $45623$

$$\begin{array}{l}\phantom{17)}026\phantom{7}\\17\overline{)45623}\\\phantom{17)}\underline{\phantom{}34\phantom{999}}\\\phantom{17)}116\\\phantom{17)}\underline{\phantom{}102\phantom{99}}\\\phantom{17)9}142\\\end{array}$$

Find closest multiple of $17$ to $142$. We see that $8 \times 17 = 136$ is the nearest. Now subtract $136$ from $142$ to get reminder $6$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{17)}0268\phantom{8}\\17\overline{)45623}\\\phantom{17)}\underline{\phantom{}34\phantom{999}}\\\phantom{17)}116\\\phantom{17)}\underline{\phantom{}102\phantom{99}}\\\phantom{17)9}142\\\phantom{17)}\underline{\phantom{9}136\phantom{9}}\\\phantom{17)999}6\\\end{array}$$

Use the $5^{th}$ digit $3$ from dividend $45623$

$$\begin{array}{l}\phantom{17)}0268\phantom{9}\\17\overline{)45623}\\\phantom{17)}\underline{\phantom{}34\phantom{999}}\\\phantom{17)}116\\\phantom{17)}\underline{\phantom{}102\phantom{99}}\\\phantom{17)9}142\\\phantom{17)}\underline{\phantom{9}136\phantom{9}}\\\phantom{17)999}63\\\end{array}$$

Find closest multiple of $17$ to $63$. We see that $3 \times 17 = 51$ is the nearest. Now subtract $51$ from $63$ to get reminder $12$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{17)}02683\phantom{10}\\17\overline{)45623}\\\phantom{17)}\underline{\phantom{}34\phantom{999}}\\\phantom{17)}116\\\phantom{17)}\underline{\phantom{}102\phantom{99}}\\\phantom{17)9}142\\\phantom{17)}\underline{\phantom{9}136\phantom{9}}\\\phantom{17)999}63\\\phantom{17)}\underline{\phantom{999}51\phantom{}}\\\phantom{17)999}12\\\end{array}$$

Since $12$ is less than $17$, stop the division. The reminder is $12$. The topmost line $02683$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2683$.

$$\text{Quotient: }2683$$ $$\text{Reminder: }12$$

Show Solution

Factor

$\frac{43 \cdot 1061}{17} = 2683\frac{12}{17} = 2683.705882352941$

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Steps For Long Division Method

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