How to solve (4242)/(21)

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 (4242)/(21) | Equatix

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Question

$$\frac{ 4242 }{ 21 }$$

Evaluate

$202$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $4242$

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)4242}\\\end{array}$$

Since $4$ is less than $21$, use the next digit $2$ from dividend $4242$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)4242}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $4242$

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)4242}\\\end{array}$$

Find closest multiple of $21$ to $42$. We see that $2 \times 21 = 42$ is the nearest. Now subtract $42$ from $42$ to get reminder $0$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{21)}02\phantom{4}\\21\overline{)4242}\\\phantom{21)}\underline{\phantom{}42\phantom{99}}\\\phantom{21)99}0\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $4242$

$$\begin{array}{l}\phantom{21)}02\phantom{5}\\21\overline{)4242}\\\phantom{21)}\underline{\phantom{}42\phantom{99}}\\\phantom{21)99}4\\\end{array}$$

Since $4$ is less than $21$, use the next digit $2$ from dividend $4242$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{21)}020\phantom{6}\\21\overline{)4242}\\\phantom{21)}\underline{\phantom{}42\phantom{99}}\\\phantom{21)99}4\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $4242$

$$\begin{array}{l}\phantom{21)}020\phantom{7}\\21\overline{)4242}\\\phantom{21)}\underline{\phantom{}42\phantom{99}}\\\phantom{21)99}42\\\end{array}$$

Find closest multiple of $21$ to $42$. We see that $2 \times 21 = 42$ is the nearest. Now subtract $42$ from $42$ to get reminder $0$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{21)}0202\phantom{8}\\21\overline{)4242}\\\phantom{21)}\underline{\phantom{}42\phantom{99}}\\\phantom{21)99}42\\\phantom{21)}\underline{\phantom{99}42\phantom{}}\\\phantom{21)9999}0\\\end{array}$$

Since $0$ is less than $21$, stop the division. The reminder is $0$. The topmost line $0202$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $202$.

$$\text{Quotient: }202$$ $$\text{Reminder: }0$$

Show Solution

Factor

$2\times 101$