How to solve 45978/18

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 45978/18 | Equatix

Question

$$45978/18$$

Evaluate

$\frac{7663}{3}\approx 2554.333333333$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $45978$

$$\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)45978}\\\end{array}$$

Since $4$ is less than $18$, use the next digit $5$ from dividend $45978$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)45978}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $45978$

$$\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)45978}\\\end{array}$$

Find closest multiple of $18$ to $45$. We see that $2 \times 18 = 36$ is the nearest. Now subtract $36$ from $45$ to get reminder $9$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{18)}02\phantom{4}\\18\overline{)45978}\\\phantom{18)}\underline{\phantom{}36\phantom{999}}\\\phantom{18)9}9\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $45978$

$$\begin{array}{l}\phantom{18)}02\phantom{5}\\18\overline{)45978}\\\phantom{18)}\underline{\phantom{}36\phantom{999}}\\\phantom{18)9}99\\\end{array}$$

Find closest multiple of $18$ to $99$. We see that $5 \times 18 = 90$ is the nearest. Now subtract $90$ from $99$ to get reminder $9$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{18)}025\phantom{6}\\18\overline{)45978}\\\phantom{18)}\underline{\phantom{}36\phantom{999}}\\\phantom{18)9}99\\\phantom{18)}\underline{\phantom{9}90\phantom{99}}\\\phantom{18)99}9\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $45978$

$$\begin{array}{l}\phantom{18)}025\phantom{7}\\18\overline{)45978}\\\phantom{18)}\underline{\phantom{}36\phantom{999}}\\\phantom{18)9}99\\\phantom{18)}\underline{\phantom{9}90\phantom{99}}\\\phantom{18)99}97\\\end{array}$$

Find closest multiple of $18$ to $97$. We see that $5 \times 18 = 90$ is the nearest. Now subtract $90$ from $97$ to get reminder $7$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{18)}0255\phantom{8}\\18\overline{)45978}\\\phantom{18)}\underline{\phantom{}36\phantom{999}}\\\phantom{18)9}99\\\phantom{18)}\underline{\phantom{9}90\phantom{99}}\\\phantom{18)99}97\\\phantom{18)}\underline{\phantom{99}90\phantom{9}}\\\phantom{18)999}7\\\end{array}$$

Use the $5^{th}$ digit $8$ from dividend $45978$

$$\begin{array}{l}\phantom{18)}0255\phantom{9}\\18\overline{)45978}\\\phantom{18)}\underline{\phantom{}36\phantom{999}}\\\phantom{18)9}99\\\phantom{18)}\underline{\phantom{9}90\phantom{99}}\\\phantom{18)99}97\\\phantom{18)}\underline{\phantom{99}90\phantom{9}}\\\phantom{18)999}78\\\end{array}$$

Find closest multiple of $18$ to $78$. We see that $4 \times 18 = 72$ is the nearest. Now subtract $72$ from $78$ to get reminder $6$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{18)}02554\phantom{10}\\18\overline{)45978}\\\phantom{18)}\underline{\phantom{}36\phantom{999}}\\\phantom{18)9}99\\\phantom{18)}\underline{\phantom{9}90\phantom{99}}\\\phantom{18)99}97\\\phantom{18)}\underline{\phantom{99}90\phantom{9}}\\\phantom{18)999}78\\\phantom{18)}\underline{\phantom{999}72\phantom{}}\\\phantom{18)9999}6\\\end{array}$$

Since $6$ is less than $18$, stop the division. The reminder is $6$. The topmost line $02554$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2554$.

$$\text{Quotient: }2554$$ $$\text{Reminder: }6$$

Show Solution

Factor

$\frac{79 \cdot 97}{3} = 2554\frac{1}{3} = 2554.3333333333335$

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Steps For Long Division Method

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