Solve 80706\div567 | Equatix

Question

$$80706 \div 567$$

Evaluate

$\frac{26902}{189}\approx 142.338624339$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $80706$

$$\begin{array}{l}\phantom{567)}\phantom{1}\\567\overline{)80706}\\\end{array}$$

Since $8$ is less than $567$, use the next digit $0$ from dividend $80706$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{567)}0\phantom{2}\\567\overline{)80706}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $80706$

$$\begin{array}{l}\phantom{567)}0\phantom{3}\\567\overline{)80706}\\\end{array}$$

Since $80$ is less than $567$, use the next digit $7$ from dividend $80706$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{567)}00\phantom{4}\\567\overline{)80706}\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $80706$

$$\begin{array}{l}\phantom{567)}00\phantom{5}\\567\overline{)80706}\\\end{array}$$

Find closest multiple of $567$ to $807$. We see that $1 \times 567 = 567$ is the nearest. Now subtract $567$ from $807$ to get reminder $240$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{567)}001\phantom{6}\\567\overline{)80706}\\\phantom{567)}\underline{\phantom{}567\phantom{99}}\\\phantom{567)}240\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $80706$

$$\begin{array}{l}\phantom{567)}001\phantom{7}\\567\overline{)80706}\\\phantom{567)}\underline{\phantom{}567\phantom{99}}\\\phantom{567)}2400\\\end{array}$$

Find closest multiple of $567$ to $2400$. We see that $4 \times 567 = 2268$ is the nearest. Now subtract $2268$ from $2400$ to get reminder $132$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{567)}0014\phantom{8}\\567\overline{)80706}\\\phantom{567)}\underline{\phantom{}567\phantom{99}}\\\phantom{567)}2400\\\phantom{567)}\underline{\phantom{}2268\phantom{9}}\\\phantom{567)9}132\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $80706$

$$\begin{array}{l}\phantom{567)}0014\phantom{9}\\567\overline{)80706}\\\phantom{567)}\underline{\phantom{}567\phantom{99}}\\\phantom{567)}2400\\\phantom{567)}\underline{\phantom{}2268\phantom{9}}\\\phantom{567)9}1326\\\end{array}$$

Find closest multiple of $567$ to $1326$. We see that $2 \times 567 = 1134$ is the nearest. Now subtract $1134$ from $1326$ to get reminder $192$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{567)}00142\phantom{10}\\567\overline{)80706}\\\phantom{567)}\underline{\phantom{}567\phantom{99}}\\\phantom{567)}2400\\\phantom{567)}\underline{\phantom{}2268\phantom{9}}\\\phantom{567)9}1326\\\phantom{567)}\underline{\phantom{9}1134\phantom{}}\\\phantom{567)99}192\\\end{array}$$

Since $192$ is less than $567$, stop the division. The reminder is $192$. The topmost line $00142$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $142$.

$$\text{Quotient: }142$$ $$\text{Reminder: }192$$

Show Solution

Factor

$\frac{2 \cdot 13451}{3 ^ {3} \cdot 7} = 142\frac{64}{189} = 142.33862433862433$

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Steps For Long Division Method

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