How to solve 61100/14

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 61100/14 | Equatix

Question

$$61100\div14$$

Evaluate

$\frac{30550}{7}\approx 4364.285714286$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $61100$

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)61100}\\\end{array}$$

Since $6$ is less than $14$, use the next digit $1$ from dividend $61100$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)61100}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $61100$

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)61100}\\\end{array}$$

Find closest multiple of $14$ to $61$. We see that $4 \times 14 = 56$ is the nearest. Now subtract $56$ from $61$ to get reminder $5$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{14)}04\phantom{4}\\14\overline{)61100}\\\phantom{14)}\underline{\phantom{}56\phantom{999}}\\\phantom{14)9}5\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $61100$

$$\begin{array}{l}\phantom{14)}04\phantom{5}\\14\overline{)61100}\\\phantom{14)}\underline{\phantom{}56\phantom{999}}\\\phantom{14)9}51\\\end{array}$$

Find closest multiple of $14$ to $51$. We see that $3 \times 14 = 42$ is the nearest. Now subtract $42$ from $51$ to get reminder $9$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{14)}043\phantom{6}\\14\overline{)61100}\\\phantom{14)}\underline{\phantom{}56\phantom{999}}\\\phantom{14)9}51\\\phantom{14)}\underline{\phantom{9}42\phantom{99}}\\\phantom{14)99}9\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $61100$

$$\begin{array}{l}\phantom{14)}043\phantom{7}\\14\overline{)61100}\\\phantom{14)}\underline{\phantom{}56\phantom{999}}\\\phantom{14)9}51\\\phantom{14)}\underline{\phantom{9}42\phantom{99}}\\\phantom{14)99}90\\\end{array}$$

Find closest multiple of $14$ to $90$. We see that $6 \times 14 = 84$ is the nearest. Now subtract $84$ from $90$ to get reminder $6$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{14)}0436\phantom{8}\\14\overline{)61100}\\\phantom{14)}\underline{\phantom{}56\phantom{999}}\\\phantom{14)9}51\\\phantom{14)}\underline{\phantom{9}42\phantom{99}}\\\phantom{14)99}90\\\phantom{14)}\underline{\phantom{99}84\phantom{9}}\\\phantom{14)999}6\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $61100$

$$\begin{array}{l}\phantom{14)}0436\phantom{9}\\14\overline{)61100}\\\phantom{14)}\underline{\phantom{}56\phantom{999}}\\\phantom{14)9}51\\\phantom{14)}\underline{\phantom{9}42\phantom{99}}\\\phantom{14)99}90\\\phantom{14)}\underline{\phantom{99}84\phantom{9}}\\\phantom{14)999}60\\\end{array}$$

Find closest multiple of $14$ to $60$. We see that $4 \times 14 = 56$ is the nearest. Now subtract $56$ from $60$ to get reminder $4$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{14)}04364\phantom{10}\\14\overline{)61100}\\\phantom{14)}\underline{\phantom{}56\phantom{999}}\\\phantom{14)9}51\\\phantom{14)}\underline{\phantom{9}42\phantom{99}}\\\phantom{14)99}90\\\phantom{14)}\underline{\phantom{99}84\phantom{9}}\\\phantom{14)999}60\\\phantom{14)}\underline{\phantom{999}56\phantom{}}\\\phantom{14)9999}4\\\end{array}$$

Since $4$ is less than $14$, stop the division. The reminder is $4$. The topmost line $04364$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $4364$.

$$\text{Quotient: }4364$$ $$\text{Reminder: }4$$

Show Solution

Factor

$\frac{2 \cdot 5 ^ {2} \cdot 13 \cdot 47}{7} = 4364\frac{2}{7} = 4364.285714285715$

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Steps For Long Division Method

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