How to solve 121 52 .

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 121 52 . | Equatix

Question

$$14121 : 52$$

Evaluate

$\frac{14121}{52}\approx 271.557692308$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $14121$

$$\begin{array}{l}\phantom{52)}\phantom{1}\\52\overline{)14121}\\\end{array}$$

Since $1$ is less than $52$, use the next digit $4$ from dividend $14121$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{52)}0\phantom{2}\\52\overline{)14121}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $14121$

$$\begin{array}{l}\phantom{52)}0\phantom{3}\\52\overline{)14121}\\\end{array}$$

Since $14$ is less than $52$, use the next digit $1$ from dividend $14121$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{52)}00\phantom{4}\\52\overline{)14121}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $14121$

$$\begin{array}{l}\phantom{52)}00\phantom{5}\\52\overline{)14121}\\\end{array}$$

Find closest multiple of $52$ to $141$. We see that $2 \times 52 = 104$ is the nearest. Now subtract $104$ from $141$ to get reminder $37$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{52)}002\phantom{6}\\52\overline{)14121}\\\phantom{52)}\underline{\phantom{}104\phantom{99}}\\\phantom{52)9}37\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $14121$

$$\begin{array}{l}\phantom{52)}002\phantom{7}\\52\overline{)14121}\\\phantom{52)}\underline{\phantom{}104\phantom{99}}\\\phantom{52)9}372\\\end{array}$$

Find closest multiple of $52$ to $372$. We see that $7 \times 52 = 364$ is the nearest. Now subtract $364$ from $372$ to get reminder $8$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{52)}0027\phantom{8}\\52\overline{)14121}\\\phantom{52)}\underline{\phantom{}104\phantom{99}}\\\phantom{52)9}372\\\phantom{52)}\underline{\phantom{9}364\phantom{9}}\\\phantom{52)999}8\\\end{array}$$

Use the $5^{th}$ digit $1$ from dividend $14121$

$$\begin{array}{l}\phantom{52)}0027\phantom{9}\\52\overline{)14121}\\\phantom{52)}\underline{\phantom{}104\phantom{99}}\\\phantom{52)9}372\\\phantom{52)}\underline{\phantom{9}364\phantom{9}}\\\phantom{52)999}81\\\end{array}$$

Find closest multiple of $52$ to $81$. We see that $1 \times 52 = 52$ is the nearest. Now subtract $52$ from $81$ to get reminder $29$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{52)}00271\phantom{10}\\52\overline{)14121}\\\phantom{52)}\underline{\phantom{}104\phantom{99}}\\\phantom{52)9}372\\\phantom{52)}\underline{\phantom{9}364\phantom{9}}\\\phantom{52)999}81\\\phantom{52)}\underline{\phantom{999}52\phantom{}}\\\phantom{52)999}29\\\end{array}$$

Since $29$ is less than $52$, stop the division. The reminder is $29$. The topmost line $00271$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $271$.

$$\text{Quotient: }271$$ $$\text{Reminder: }29$$

Show Solution

Factor

$\frac{3 ^ {3} \cdot 523}{2 ^ {2} \cdot 13} = 271\frac{29}{52} = 271.5576923076923$

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Steps For Long Division Method

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