How to solve . 67543/100

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 . 67543/100 | Equatix

Question

$$67543 \div 100$$

Evaluate

$\frac{67543}{100}=675.43$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)67543}\\\end{array}$$

Since $6$ is less than $100$, use the next digit $7$ from dividend $67543$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)67543}\\\end{array}$$

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

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)67543}\\\end{array}$$

Since $67$ is less than $100$, use the next digit $5$ from dividend $67543$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)67543}\\\end{array}$$

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

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)67543}\\\end{array}$$

Find closest multiple of $100$ to $675$. We see that $6 \times 100 = 600$ is the nearest. Now subtract $600$ from $675$ to get reminder $75$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{100)}006\phantom{6}\\100\overline{)67543}\\\phantom{100)}\underline{\phantom{}600\phantom{99}}\\\phantom{100)9}75\\\end{array}$$

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

$$\begin{array}{l}\phantom{100)}006\phantom{7}\\100\overline{)67543}\\\phantom{100)}\underline{\phantom{}600\phantom{99}}\\\phantom{100)9}754\\\end{array}$$

Find closest multiple of $100$ to $754$. We see that $7 \times 100 = 700$ is the nearest. Now subtract $700$ from $754$ to get reminder $54$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{100)}0067\phantom{8}\\100\overline{)67543}\\\phantom{100)}\underline{\phantom{}600\phantom{99}}\\\phantom{100)9}754\\\phantom{100)}\underline{\phantom{9}700\phantom{9}}\\\phantom{100)99}54\\\end{array}$$

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

$$\begin{array}{l}\phantom{100)}0067\phantom{9}\\100\overline{)67543}\\\phantom{100)}\underline{\phantom{}600\phantom{99}}\\\phantom{100)9}754\\\phantom{100)}\underline{\phantom{9}700\phantom{9}}\\\phantom{100)99}543\\\end{array}$$

Find closest multiple of $100$ to $543$. We see that $5 \times 100 = 500$ is the nearest. Now subtract $500$ from $543$ to get reminder $43$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{100)}00675\phantom{10}\\100\overline{)67543}\\\phantom{100)}\underline{\phantom{}600\phantom{99}}\\\phantom{100)9}754\\\phantom{100)}\underline{\phantom{9}700\phantom{9}}\\\phantom{100)99}543\\\phantom{100)}\underline{\phantom{99}500\phantom{}}\\\phantom{100)999}43\\\end{array}$$

Since $43$ is less than $100$, stop the division. The reminder is $43$. The topmost line $00675$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $675$.

$$\text{Quotient: }675$$ $$\text{Reminder: }43$$

Show Solution

Factor

$\frac{7 \cdot 9649}{2 ^ {2} \cdot 5 ^ {2}} = 675\frac{43}{100} = 675.43$

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Steps For Long Division Method

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