How to solve . 67543/24

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve . 67543/24 | Equatix

Question

$$67543 \div 24$$

Evaluate

$\frac{67543}{24}\approx 2814.291666667$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $67543$

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)67543}\\\end{array}$$

Since $6$ is less than $24$, use the next digit $7$ from dividend $67543$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)67543}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $67543$

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)67543}\\\end{array}$$

Find closest multiple of $24$ to $67$. We see that $2 \times 24 = 48$ is the nearest. Now subtract $48$ from $67$ to get reminder $19$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{24)}02\phantom{4}\\24\overline{)67543}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)}19\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $67543$

$$\begin{array}{l}\phantom{24)}02\phantom{5}\\24\overline{)67543}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)}195\\\end{array}$$

Find closest multiple of $24$ to $195$. We see that $8 \times 24 = 192$ is the nearest. Now subtract $192$ from $195$ to get reminder $3$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{24)}028\phantom{6}\\24\overline{)67543}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)}195\\\phantom{24)}\underline{\phantom{}192\phantom{99}}\\\phantom{24)99}3\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $67543$

$$\begin{array}{l}\phantom{24)}028\phantom{7}\\24\overline{)67543}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)}195\\\phantom{24)}\underline{\phantom{}192\phantom{99}}\\\phantom{24)99}34\\\end{array}$$

Find closest multiple of $24$ to $34$. We see that $1 \times 24 = 24$ is the nearest. Now subtract $24$ from $34$ to get reminder $10$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{24)}0281\phantom{8}\\24\overline{)67543}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)}195\\\phantom{24)}\underline{\phantom{}192\phantom{99}}\\\phantom{24)99}34\\\phantom{24)}\underline{\phantom{99}24\phantom{9}}\\\phantom{24)99}10\\\end{array}$$

Use the $5^{th}$ digit $3$ from dividend $67543$

$$\begin{array}{l}\phantom{24)}0281\phantom{9}\\24\overline{)67543}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)}195\\\phantom{24)}\underline{\phantom{}192\phantom{99}}\\\phantom{24)99}34\\\phantom{24)}\underline{\phantom{99}24\phantom{9}}\\\phantom{24)99}103\\\end{array}$$

Find closest multiple of $24$ to $103$. We see that $4 \times 24 = 96$ is the nearest. Now subtract $96$ from $103$ to get reminder $7$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{24)}02814\phantom{10}\\24\overline{)67543}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)}195\\\phantom{24)}\underline{\phantom{}192\phantom{99}}\\\phantom{24)99}34\\\phantom{24)}\underline{\phantom{99}24\phantom{9}}\\\phantom{24)99}103\\\phantom{24)}\underline{\phantom{999}96\phantom{}}\\\phantom{24)9999}7\\\end{array}$$

Since $7$ is less than $24$, stop the division. The reminder is $7$. The topmost line $02814$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2814$.

$$\text{Quotient: }2814$$ $$\text{Reminder: }7$$

Show Solution

Factor

$\frac{7 \cdot 9649}{2 ^ {3} \cdot 3} = 2814\frac{7}{24} = 2814.2916666666665$

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Steps For Long Division Method

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