Solve 43824/67\ | Equatix

Question

$$43824\div67\{$$

Evaluate

$\frac{913}{14}\approx 65.214285714$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $43824$

$$\begin{array}{l}\phantom{672)}\phantom{1}\\672\overline{)43824}\\\end{array}$$

Since $4$ is less than $672$, use the next digit $3$ from dividend $43824$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{672)}0\phantom{2}\\672\overline{)43824}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $43824$

$$\begin{array}{l}\phantom{672)}0\phantom{3}\\672\overline{)43824}\\\end{array}$$

Since $43$ is less than $672$, use the next digit $8$ from dividend $43824$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{672)}00\phantom{4}\\672\overline{)43824}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $43824$

$$\begin{array}{l}\phantom{672)}00\phantom{5}\\672\overline{)43824}\\\end{array}$$

Since $438$ is less than $672$, use the next digit $2$ from dividend $43824$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{672)}000\phantom{6}\\672\overline{)43824}\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $43824$

$$\begin{array}{l}\phantom{672)}000\phantom{7}\\672\overline{)43824}\\\end{array}$$

Find closest multiple of $672$ to $4382$. We see that $6 \times 672 = 4032$ is the nearest. Now subtract $4032$ from $4382$ to get reminder $350$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{672)}0006\phantom{8}\\672\overline{)43824}\\\phantom{672)}\underline{\phantom{}4032\phantom{9}}\\\phantom{672)9}350\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $43824$

$$\begin{array}{l}\phantom{672)}0006\phantom{9}\\672\overline{)43824}\\\phantom{672)}\underline{\phantom{}4032\phantom{9}}\\\phantom{672)9}3504\\\end{array}$$

Find closest multiple of $672$ to $3504$. We see that $5 \times 672 = 3360$ is the nearest. Now subtract $3360$ from $3504$ to get reminder $144$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{672)}00065\phantom{10}\\672\overline{)43824}\\\phantom{672)}\underline{\phantom{}4032\phantom{9}}\\\phantom{672)9}3504\\\phantom{672)}\underline{\phantom{9}3360\phantom{}}\\\phantom{672)99}144\\\end{array}$$

Since $144$ is less than $672$, stop the division. The reminder is $144$. The topmost line $00065$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $65$.

$$\text{Quotient: }65$$ $$\text{Reminder: }144$$

Show Solution

Factor

$\frac{11 \cdot 83}{2 \cdot 7} = 65\frac{3}{14} = 65.21428571428571$

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Steps For Long Division Method

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