How to solve (59876)/(424)

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 (59876)/(424) | Equatix

Question

$$\frac{ 59876 }{ 424 }$$

Evaluate

$\frac{14969}{106}\approx 141.216981132$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $59876$

$$\begin{array}{l}\phantom{424)}\phantom{1}\\424\overline{)59876}\\\end{array}$$

Since $5$ is less than $424$, use the next digit $9$ from dividend $59876$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{424)}0\phantom{2}\\424\overline{)59876}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $59876$

$$\begin{array}{l}\phantom{424)}0\phantom{3}\\424\overline{)59876}\\\end{array}$$

Since $59$ is less than $424$, use the next digit $8$ from dividend $59876$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{424)}00\phantom{4}\\424\overline{)59876}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $59876$

$$\begin{array}{l}\phantom{424)}00\phantom{5}\\424\overline{)59876}\\\end{array}$$

Find closest multiple of $424$ to $598$. We see that $1 \times 424 = 424$ is the nearest. Now subtract $424$ from $598$ to get reminder $174$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{424)}001\phantom{6}\\424\overline{)59876}\\\phantom{424)}\underline{\phantom{}424\phantom{99}}\\\phantom{424)}174\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $59876$

$$\begin{array}{l}\phantom{424)}001\phantom{7}\\424\overline{)59876}\\\phantom{424)}\underline{\phantom{}424\phantom{99}}\\\phantom{424)}1747\\\end{array}$$

Find closest multiple of $424$ to $1747$. We see that $4 \times 424 = 1696$ is the nearest. Now subtract $1696$ from $1747$ to get reminder $51$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{424)}0014\phantom{8}\\424\overline{)59876}\\\phantom{424)}\underline{\phantom{}424\phantom{99}}\\\phantom{424)}1747\\\phantom{424)}\underline{\phantom{}1696\phantom{9}}\\\phantom{424)99}51\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $59876$

$$\begin{array}{l}\phantom{424)}0014\phantom{9}\\424\overline{)59876}\\\phantom{424)}\underline{\phantom{}424\phantom{99}}\\\phantom{424)}1747\\\phantom{424)}\underline{\phantom{}1696\phantom{9}}\\\phantom{424)99}516\\\end{array}$$

Find closest multiple of $424$ to $516$. We see that $1 \times 424 = 424$ is the nearest. Now subtract $424$ from $516$ to get reminder $92$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{424)}00141\phantom{10}\\424\overline{)59876}\\\phantom{424)}\underline{\phantom{}424\phantom{99}}\\\phantom{424)}1747\\\phantom{424)}\underline{\phantom{}1696\phantom{9}}\\\phantom{424)99}516\\\phantom{424)}\underline{\phantom{99}424\phantom{}}\\\phantom{424)999}92\\\end{array}$$

Since $92$ is less than $424$, stop the division. The reminder is $92$. The topmost line $00141$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $141$.

$$\text{Quotient: }141$$ $$\text{Reminder: }92$$

Show Solution

Factor

$\frac{14969}{2 \cdot 53} = 141\frac{23}{106} = 141.21698113207546$

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Steps For Long Division Method

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